A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 162 chocolate and 138 mocha. What percent of the cupcakes sold that day were chocolate?

Answers

Answer 1
Answer is 54% of chocolate cupcakes sold

Step by step

We know we have 162 chocolate cupcakes out of a total of 300 ( 162 + 138)

162 / 300 = 54% of chocolate cupcakes sold

Check your work

Find how many mocha cupcakes

138 / 300 = 46% of mocha cupcakes sold

46% + 54% = 100%




Related Questions

What is entrepreneurs education ​

Answers

Answer:  What an entrepreneur really is, though, is someone who runs their own business and takes a risk to do it.

Step-by-step explanation:

Avani is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 21 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 38^{\circ} ∘ , and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 46^{\circ} ∘ . If her eyes are 1.66 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest tenth of a meter if necessary.

Answers

Answer:

Let's call the height of the antenna "h".

First, we can use the angle of elevation of 38^{\circ} ∘ to find the height of point A above the ground.

tan(38^{\circ}) = \frac{h}{21}

h = 21 \cdot tan(38^{\circ})

h \approx 15.6

So point A is approximately 15.6 meters above the ground.

Next, we can use the angle of elevation of 46^{\circ} ∘ to find the height of point B above the ground.

tan(46^{\circ}) = \frac{h}{d}

h = d \cdot tan(46^{\circ})

We can find the value of "d" using the Pythagorean theorem.

d^2 = 21^2 + 15.6^2

d \approx 25.7

So the distance from point A to point B is approximately 25.7 meters.

Finally, we can use the height of point A and the distance from point A to point B to find the height of point B (the height of the antenna).

h = d \cdot tan(46^{\circ})

h \approx 25.7 \cdot tan(46^{\circ})

h \approx 23.2

Therefore, the height of the antenna is approximately 23.2 meters.

Step-by-step explanation:

the scenario creates 2 right-angled triangles.

both have the same first leg : the horizontal distance from Avani's eyes to the building (21 m).

and both have a right angle (90°) at the point, where the horizontal distance meets the building.

the difference is now the second leg : the height of the building (starting at 1.66 m above ground), and the height of the building plus the height of the antenna (again starting at 1.66 m above ground).

another difference is the length of the line of sight (from Avani to AA, and from Avani to BB).

driving these differences is the difference in the angle at Avani (38° vs. 46°).

now, remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides of the triangle, A, B, C are the corresponding opposite angles of the triangle.

and remember : the sum of all angles in a triangle is always 180°.

what is the plan ?

we need to calculate the second leg of the larger triangle, and then the second leg of the smaller triangle and subtract that from the second leg of the larger triangle.

in other words :

(building + antenna) - building = antenna

so, we start with the larger triangle (up to BB).

the angle at Avani is 46°.

the angle at the building is 90°.

the angle at BB is then

180 - 90 - 46 = 44°.

21/sin(44) = (building + antenna)/sin(46)

(building + antenna) = 21×sin(46)/sin(44) =

= 21.74613659... m

now, for the smaller triangle (up to AA).

the angle at Avani is 38°.

the angle at the building is 90°.

the angle at AA is then

180 - 90 - 38 = 52°.

21/sin(52) = building/sin(38)

building = 21×sin(38)/sin(52) = 16.40699816... m

the height of the antenna is then again

(building + antenna) - building = 5.339138433... m

≈ 5.3 m

2. The back of Nico's truck is 7 feet long, 4 feet wide, and 8 feet tall. He has several boxes of important papers that he needs to move. Each box of papers is shaped like a cube, measuring 1 foot on each side. K How many boxes of papers can Nico pack into the back of his truck? Show your work. (Try drawing a picture of the back of the truck and how many boxes can stack in there to help you see the answer better. Possible extra credit for your drawing.) Answer:​

Answers

Based on division operation, the number of boxes of papers that the back of Nico's truck can stack in is 224.

What is division operation?

Division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.

Division operation involves the dividend divided by the divisor to produce a result known as the quotient.

In this situation, the volume of Nico's truck is determined as the dividend. The volume of each box of paper is determined as the divisor.

The result of the division operation is the quotient showing the number of boxes the truck can contain.

The length of Nico's truck = 7 feet

The width of Nico's truck = 4 feet

The height of Nico's truck = 8 feet

The volume that Nico's tuck can contain = 224 cubic feet (7 × 4 × 8)

= 224 feet³

The length of each box = 1 foot

The width of each box = 1 foot

The height of each box = 1 foot

The volume of each box of papers = 1 feet³ (1 × 1 × 1)

The number of boxes the truck can contain = 224 boxes (224/1)

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

I will mark you brainiest!

Which of the following methods is not used to prove triangles are congruent?
A) AAA
B) SAS
C) SSS
D) ASA

Answers

Answer:

A) AAA yessss

1. Solve: (6 + 3)2 – 17 × 3 + 70

Answers

The answer is 37. :))))))

The solution of this expression is 37

Numerical expressions

To solve this, first calculate the operations in parentheses.
Then perform the other operations, following the order of resolution

Resolution

[tex]\begin{array}{l}\sf (6 + 3)2-17\times 3 + 70\\\sf 9\times 2-51+ 70\\\sf 18-51+ 70\\\sf 88-51\\\therefore \bf 37\end{array}[/tex]

For this expression, the result is 37

See more question

brainly.com/question/30991005

If you have any question about this solution, you can ask me in the comments :)

The perihelion is?
The equation for the orbit of planet A around the sun is?

Answers

The perihelion is the point in a planet's orbit where it is closest to the sun.

The equation for the orbit of a planet around the sun depends on various factors, such as the shape of the orbit, the mass of the planet, and the gravitational force between the planet and the sun. Kepler's laws of planetary motion provide a framework for understanding the motion of planets in orbit, and the equations used to describe these orbits are generally based on these laws. The specific equation for the orbit of planet A would depend on the specific parameters of that planet's orbit.

What is the solution of x-1/x^2 +5x+4 less than or equal to 0

Answers

Answer:

[tex]x-1/x^2 +5x+4[/tex] = no real value

Step-by-step explanation:

Step 1 : Multiply through by x^2

[tex]x^{2} -1 +5x^{3}+ 4x^{2}[/tex]

Step 2 : Collect like terms

[tex]5x^{3}+5x^{2} -1\geq 0[/tex]

Step 3 : Ignore the sign and solve for x

[tex]5x^{3} +5x^{2} -1 = 0\\x =0.380609458\\x= 0.4(2dp)[/tex]

Step 4 : Input back into the equation

Step 5: This shows that  x-1/x^2 +5x+4 has no real values.

The function g(x) is shown on the graph.

What is the equation of g(x) in vertex form?

g(x) = (x − 4)2 − 3
g(x) = (x − 4)2 + 3
g(x) = (x + 4)2 − 3
g(x) = (x + 4)2 + 3

Answers

Answer:

The correct answer is g(x) = (x+4)2+3

Step-by-step explanation:

The graph is sifted 3 units up and 4 units left.

Tara creates a budget for her weekly expenses. The graph shows how X much money is in the account at different times. Find the slope of the line. Then tell what rate the slope represents.

Answers

The slope of the line is -50 and it means that the amount of money in the account is decreasing at a rate of $50 every week.

What is meant by the slope of the line?

A line's slope is defined as the ratio of the change in the y coordinates to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

As a result, m = change in y/change in x is the formula for the change in the y-coordinate with respect to the change in the x-coordinate.

where "m" represents a line's slope.

A line's slope provides information on the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them.

The complete question is given below.

The two points on the graph are (4, 2400) and (12, 2000).

(x₁ , y₁) = (4, 2400)

(x₂ , y₂) = (12, 2000)

The slope of the graph can be found using the following formula.

Slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{2000-2400}{12-4}[/tex] = [tex]\frac{-400}{8}[/tex] = -50

Therefore the slope of the line is -50 and it means that the amount of money in the account is decreasing at a rate of $50 every week.

To learn more about slope, follow the link.

https://brainly.com/question/16949303

#SPJ1

(-50) ÷ what is -1, number in the blank will be​

Answers

-50. Any number divided by the same number will always be 1

What is 24 and 816,000 equals blank divided by 10 to the fifth power

Answers

Answer: We have the equation:

24,816,000 = x / 10^5

To solve for x, we can multiply both sides by 10^5:

24,816,000 * 10^5 = x

Using a calculator or long multiplication, we can simplify this to:

2,481,600,000,000 = x

Therefore, 24,816,000 is equal to 2,481,600,000,000 divided by 10 to the fifth power.

Step-by-step explanation:

The following are reasons to put your money in a saving account. (Check all that apply)
Money collects interest.
Get a rebate back in the mail.
Money is safe and insured.

Answers

The cοrrect respοnse is that mοney cοllects interest and mοney is safe and insured.

Why nοt explain interest?

The fee yοu spend tο bοrrοw the mοney οr the fee yοu pay tο lend the mοney is called interest. Interest is frequently calculated as a yearly percentage οf the amοunt bοrrοwed. This percentage represents the lοan's interest rate.

The interest fοrmula is what?

Interest equals P, R, and T is the fundamental interest fοrmula. P is the initial value (the beginning balance). Rate οf Interest, R (usually per year, expressed as a decimal). T is the sum οf all time frames (generally οne-year time periοds).

To know more about Interest visit:

https://brainly.com/question/30393144

#SPJ1

Solve x2 – 18x + 81 = 4 by completing the square. Select any solutions that apply. A. x = –11 B. x = –7 C. x = 7 D. x = 11

Answers

The solutions to the equation x² - 18x + 81 = 4 by completing the square are x = 9 + 2i and x = 9 - 2i.None of the answer choices A, B, C, or D are correct.

What is an equation?

An equation is a mathematical statement that shows the equality between two expressions, often containing variables and mathematical operations.

To solve the equation x² - 18x + 81 = 4 by completing the square, we can follow these steps:

x² - 18x + 77 = 0

Divide both sides by the coefficient of x² to make the coefficient 1:

x² - 18x + (81/1) = -77/1

x² - 18x + 81 = -77

Add the square of half the coefficient of x to both sides of the equation:

x² - 18x + (9)² = -77 + (9)²

x² - 18x + 81 = -4

(x - 9)² = -4

x - 9 = ±√(-4)

x - 9 = ±2i (where i is the imaginary unit)

x = 9 ±2i

To know more about coefficient visit:

https://brainly.com/question/1594145

#SPJ1

The demand for a product is given by p+5q= 380 or, q = (380-p)/5 and the supply for this product is given by p-3q = 172 or, q = (p-172)/3 The price at which the quantity demande

Answers

Answer:

The equilibrium price is $250.

The equilibrium quantity is 26 units.

Step-by-step explanation:

To find the equilibrium price, we need to find the price at which the quantity demanded equals the quantity supplied. This occurs when q (quantity demanded) equals q (quantity supplied).

So, we can set the two equations for q equal to each other:

(380-p)/5 = (p-172)/3

To solve for p, we can cross-multiply and simplify:

3(380-p) = 5(p-172)

1140 - 3p = 5p - 860

1140 + 860 = 8p

2000 = 8p

p = 250

Therefore, the equilibrium price is $250. We can plug this value back into either equation for q to find the equilibrium quantity.

Using q = (380-p)/5, we get:

q = (380-250)/5 = 26

So the equilibrium quantity is 26 units.

A natural history museum surveyed the people visiting the museum for one month and created a circle graph to show the age of the visitors for that month.
If 5000 people visited the museum during the month the survey was taken, how many visitors were there for each age group?
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
Will give brainliest

Answers

idekKKKKKKKDKDKDNDKDNDNDNDNDNDNDND
Without seeing the circle graph, it is impossible to determine the exact number of visitors in each age group. However, we can calculate the approximate number of visitors in each age group based on the percentage of the circle graph that represents each age group.

Let's assume that the circle graph is divided into four equal sections, representing each age group. Therefore, each section would represent 25% of the total visitors, or 1250 visitors (25% of 5000).

To calculate the approximate number of visitors in each age group, we can use the following percentages:

- Age 18 and under: 40% (or 0.4) of the circle graph
- Age 19-44: 30% (or 0.3) of the circle graph
- Age 45-64: 20% (or 0.2) of the circle graph
- Age 65 and over: 10% (or 0.1) of the circle graph

Using these percentages, we can calculate the approximate number of visitors in each age group as follows:

- Age 18 and under: 0.4 x 1250 = 500 visitors
- Age 19-44: 0.3 x 1250 = 375 visitors
- Age 45-64: 0.2 x 1250 = 250 visitors
- Age 65 and over: 0.1 x 1250 = 125 visitors

Therefore, approximately 500 visitors were aged 18 and under, 375 visitors were aged 19-44, 250 visitors were aged 45-64, and 125 visitors were aged 65 and over.

Which statement correctly describes the value of the expression 8×7/9
A) less than 7/9
B) greater than 9
C) between 8 and 9
D) between 7/9 and 8

Answers

The value of the expression is between 7/9 and 8, since 7/9 < 56/9 < 8. So the correct option is D.

Describe Algebraic Expression?

Algebraic expressions can represent real-world situations, formulas, and equations. They are commonly used in algebra, which is a branch of mathematics that deals with symbols and the rules for manipulating these symbols.

Algebraic expressions are important tools in solving equations and real-world problems that involve variables and unknowns. They are also used in calculus, physics, engineering, and other fields that require mathematical modeling and analysis.

The value of the expression 8×7/9 can be simplified using the order of operations (PEMDAS) as follows:

8×7/9 = (8×7)/9 = 56/9

Therefore, the value of the expression is between 7/9 and 8, since:

7/9 < 56/9 < 8

So the correct statement is: D) between 7/9 and 8.

To know more about expression visit:

https://brainly.com/question/29052794

#SPJ1

PZ HURRY 15 POINTS
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

It can be estimated that approximately 3,042 people in attendance would prefer ketchup on a hot dog.

Thus, the correct answer is 3,042.

To determine how many people in attendance would prefer ketchup on a hot dog based on the data from the sample, we need to calculate the proportion of people who prefer ketchup and apply it to the total attendance.

The sample indicates that out of 150 people surveyed:

54 people prefer ketchup

36 people prefer relish

60 people prefer chili

To find the proportion of people who prefer ketchup, we divide the number of people who prefer ketchup by the total number of people surveyed:

Proportion of people who prefer ketchup = 54 / 150 = 0.36

Now, to estimate the number of people in attendance who would prefer ketchup on a hot dog, we multiply the proportion calculated above by the total attendance:

Estimated number of people who prefer ketchup = 0.36 [tex]\times[/tex] 8,450 = 3,042

For similar question on estimated.

https://brainly.com/question/29071363  

#SPJ8

Use the word bank to help identify each part of the quadrilateral.​

word bank: base, leg, parallel, midsegment, angle, diagonal, side.

Answers

- Base: A side of the quadrilateral that forms the bottom of the shape, often used as a reference for measuring other dimensions.
- Leg: A side of the quadrilateral that is not part of the base.
- Parallel: Two sides of the quadrilateral that run side by side and never intersect.
- Midsegment: A line segment that connects the midpoints of two sides of the quadrilateral.
- Angle: The space between two intersecting lines, measured in degrees.
- Diagonal: A line segment that connects two non-adjacent vertices of the quadrilateral.
- Side: Any of the four line segments that make up the edges of the quadrilateral.

Tom wishes to purchase a property that has been valued at $300,000. He has 25% of this amount available as a cash deposit, and will require a mortgage for the remaining amount. The bank offers him a 25-year mortgage at 2% interest. Calculate his monthly payments.
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.

Answers

Total interest is $149,528.31
Step-by-step explanation:
In the first place,Tom already has 25%*$300,000=$75,000
This implies that the mortgage amount=$300,000-$75,000=$225,000
In order to ascertain the total interest Tom would pay it would necessary to know the total amount Tom would have to pay back in respect of the mortgage since the total interest is the difference between total amount repayable less the present worth of the mortgage of $225,000
FV=PV*(1+r)^n
FV is the future worth of the mortgage i.e total amount repayable
PV is the present worth of $225,000
r is the rate of interest of 2% yearly,but 0.17% monthly(2%/12)
n is the number of month it would take Tom to repay the mortgage i.e 25 years multiplied by 12 300 months
FV=$225,000*(1+0.17%)^300=$ 374,528.31
Total interest=$ 374,528.31-$225,000=$149,528.31

so hmmm 25% of that 300,000 is going as a downpayment, so he need the loan for the remaining 75% of that hmmm

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{75\% of 300000}}{\left( \cfrac{75}{100} \right)300000}\implies 225000[/tex]

so for that much, so since he'll be making monthly payments, the compounding period will be monthly, now, we're assuming the payments are at the end of each month.

[tex]~~~~~~~~~~~~\underset{\textit{payments at the end of the period}}{\textit{Payments of an ordinary annuity}} \\\\ pmt=A\left[ \cfrac{\frac{r}{n}}{\left( 1+\frac{r}{n} \right)^{nt}-1} \right][/tex]

[tex]\begin{cases} A=\textit{accumulated amount}\dotfill &225000\\ pmt=\textit{periodic payments}\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}[/tex]

[tex]pmt=225000\left[ \cfrac{\frac{0.02}{12}}{\left( 1+\frac{0.02}{12} \right)^{12 \cdot 25}-1} \right] \\\\\\ pmt=225000\left[ \cfrac{\frac{1}{600}}{\left( \frac{601}{600} \right)^{300}-1} \right]\implies pmt\approx 578.67[/tex]

 Find the area of the shaded sector.
Answer In Exact Form (don't put pi in calculator, simplify your decimal answer to a fraction, and put pi symbol in answer).

Answers

The area of the shaded sector is equal to: A. 415π/2 ft².

How to calculate the area of a sector?

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θπr²/360

Where:

r represents the radius of a circle.θ represents the central angle.

Substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = 332(π/180) × (15)²/2

Area of sector = 74,700π/180 × 1/2

Area of sector = 415π/2 ft²

Read more on arc length here: brainly.com/question/28108430

#SPJ1

I need help with the graph about it increasing and decreasing!!

Answers

Answers:

Increasing:  [tex](-1.5, 2)[/tex]

Decreasing:  [tex](-\infty,-1.5) \cup (2,\infty)[/tex]

==================================================

Explanation:

A function curve is considered increasing when moving uphill as you move to the right.

We're going uphill on the interval [tex]-1.5 < \text{x} < 2[/tex] which translates to the interval notation [tex](-1.5, 2)[/tex]. Be sure not to confuse this with ordered pair notation which unfortunately looks identical. The curved parenthesis are used to exclude each endpoint.

-------------

When moving to the right, we go downhill on two separate regions:

When x < -1.5, aka [tex]-\infty < \text{x} < -1.5[/tex]When x > 2, aka [tex]2 < \text{x} < \infty[/tex]

The first portion translates to the interval notation [tex](-\infty,-1.5)[/tex]

The second portion translates to [tex](2,\infty)[/tex]

We glue those regions together with a union symbol to get [tex](-\infty,-1.5) \cup (2,\infty)[/tex]

The union symbol basically means "or" when it comes to interval notation. So we are decreasing on the interval [tex](-\infty,-1.5)[/tex] or decreasing on the interval [tex](2,\infty)[/tex]

Kira is installing a railing that is 35 inches above the ramp Let each be the height of the railing from the ground and all be the height of the ramp from the ground which equation represents the situation

Answers

Alternatively, if we want to solve for r in terms of h, we can rearrange the equation as follows: r = h - 35

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let h be the height of the railing from the ground and let r be the height of the ramp from the ground.

We are given that the railing is 35 inches above the ramp, which means that the total height of the railing from the ground is h = r + 35.

So the equation that represents the situation is:

h = r + 35

Therefore, Alternatively, if we want to solve for r in terms of h, we can rearrange the equation as follows: r = h - 35

To learn more about Algebraic expression from given link.

https://brainly.com/question/953809

#SPJ1

Steven sold 10 cabbages at K2.00 each, 20 heaps of kaukau at K5 each, and 10 heaps of potato at K3.00 each. What is Steven's total earning?​

Answers

Answer:

K150

Step-by-step explanation:

10 x K2.00 = K20.00

20 x K5.00 = K100.00

10 x K3.00= K30.00

20+100+30= K150

Help!!
Question
​Triangle ABC​ is similar to triangle DEF. The length of BC¯¯¯¯¯ is 44 cm. The length of DE¯¯¯¯¯ is 14 cm. The length of EF¯¯¯¯¯ is 22 cm.



What is the length of AB¯¯¯¯¯?



Enter your answer in the box.

cm

Answers

The length of AB which is the missing length side of the similar triangles would be = 28 cm.

How to calculate the missing length of a triangle?

To calculate the missing length of the triangle = AB , the scale factor should be determined.

The scale factor that exists between two similar object shows the number of times the original object can be found in the new formed one.

The scale factor = dimensions of new object/ dimensions of original object.

A side of original = EF =22cm

A side of the new triangle = BC = 44

Scale factor = 44/22 = 2

Therefore the missing length of the new triangle = 14×2 = 28cm

Learn more about triangles here:

https://brainly.com/question/28470545

#SPJ1

answered
Find the points on the line x=1
where the circle with equation
2x²+2y²-5x+7y-36-0 intersect

Answers

Answer: To find the points where the circle intersects the line x=1, we substitute x=1 in the equation of the circle:

2(1)² + 2y² - 5(1) + 7y - 36 = 0

Simplifying, we get:

2y² + 7y - 31 = 0

We can solve this quadratic equation by using the quadratic formula:

y = (-7 ± √(7² - 4(2)(-31))) / (2(2))

y = (-7 ± √225) / 4

y = (-7 ± 15) / 4

So the two possible values of y are:

y = 2 or y = -8/2 = -4

Therefore, the points where the circle intersects the line x=1 are (1, 2) and (1, -4).

Step-by-step explanation:

Write the equation of the line that passes through the points (3, -4) and (7, 6). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

Step-by-step explanation:

To write the equation of the line that passes through the points (3, -4) and (7, 6), we can follow these steps:

Step 1: Find the slope of the line

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1) / (x2 - x1)

Plugging in the given values, we get:

slope = (6 - (-4)) / (7 - 3)

slope = 10 / 4

slope = 5 / 2

Step 2: Use point-slope form to write the equation of the line

Point-slope form of a line with slope m passing through a point (x1, y1) is given by:

y - y1 = m(x - x1)

We can use either of the given points to write the equation. Let's use (3, -4):

y - (-4) = (5/2)(x - 3)

Simplifying this equation, we get:

y + 4 = (5/2)x - (15/2)

Subtracting 4 from both sides, we get:

y = (5/2)x - (23/2)

This is the equation of the line in point-slope form.

Step 3: Simplify the equation if it is not in point-slope form

The equation we obtained in step 2 is already in point-slope form, so we do not need to simplify it any further.

Note: If the line was horizontal (i.e., it had zero slope), then its equation would be y = constant, where the constant is the y-coordinate of any point on the line. If the line was vertical (i.e., its slope was undefined), then its equation would be x = constant, where the constant is the x-coordinate of any point on the line.

Find the sum of the first n terms
using the formula:

a(1-r^n)/1-r

1, 5/3, 25/9, 125/27, 625/81

This would be a big help

Answers

The total of the first four terms is thus 8/3.

What does sum mean?

The outcome of adding two or even more numbers or phrases is known as the sum in mathematics. The sum is a method of bringing things together as a result. To put it another way, adding any number of numbers together results in a previous result or total.

The sum of a Fibonacci sequence that has the initial component a = 1 and the general ratio r = 5/3 is determined using the formula you gave.

We enter these numbers into the formula to determine the sum of the initial n terms:

S(n) = [tex]a(1-r^n)/(1-r)[/tex]

S(n) = [tex]1(1-(5/3)^n)/(1-5/3)[/tex]

S(n) = [tex]3/2(1-(5/3)^n)[/tex]

So, we add n to this formula to get the sum of the initial n terms of a given sequence:

S(n) = [tex]3/2(1-(5/3)^n)[/tex]

For instance, we replace n = 4 to get the sum of the initial four terms:

S(4) = [tex]3/2(1-(5/3)^4)[/tex]

S(4) = 3/2(1-625/81)

S(4) = 3/2(144/81)

S(4) = 72/27

S(4) = 8/3

To know more about Sum visit:

https://brainly.in/question/48939038

#SPJ1

The total of the first four terms is thus 8/3.

What does sum mean?

The outcome of adding two or even more numbers or phrases is known as the sum in mathematics. The sum is a method of bringing things together as a result. To put it another way, adding any number of numbers together results in a previous result or total.

The sum of a Fibonacci sequence that has the initial component a = 1 and the general ratio r = 5/3 is determined using the formula you gave.

We enter these numbers into the formula to determine the sum of the initial n terms:

S(n) = [tex]a(1-r^{n} )/(1-r)[/tex]

S(n) = [tex]1(1-(5/3)^{n} /(1-5/3)[/tex]

S(n) = [tex]3/2(1-(5/3)^{n} )[/tex]

So, we add n to this formula to get the sum of the initial n terms of a given sequence:

S(n) = 3/2(1 - [tex](5/3)^{n}[/tex] )

For instance, we replace n = 4 to get the sum of the initial four terms:

S(4) = [tex]3/2(1-(5/3)^{4} )[/tex]

S(4) = 3/2(1-625/81)

S(4) = 3/2(144/81)

S(4) = 72/27

S(4) = 8/3

To know more about Sum visit:

brainly.com/question/13013054

#SPJ1

complete ques is:

Find the sum of the first n terms ( 1,2,3,4,5.......n)

using the formula:

a(1-r^n)/1-r

1, 5/3, 25/9, 125/27, 625/81

A toy company is building dollhouse furniture. A rectangle door of a dollhouse has a height of 7 centimeters and a width of 3 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 3.5?

Answers

Answer: To find the perimeter of the door on a scale drawing, we need to first determine the dimensions of the door on the scale drawing.

If the actual height of the door is 7 centimeters, then the height on the scale drawing will be:

7 cm ÷ 3.5 = 2 cm

Similarly, if the actual width of the door is 3 centimeters, then the width on the scale drawing will be:

3 cm ÷ 3.5 = 0.857 cm

Now we can use these dimensions to find the perimeter on the scale drawing:

Perimeter = 2 × (height + width) = 2 × (2 cm + 0.857 cm) = 2 × 2.857 cm = 5.714 cm

Therefore, the perimeter of the door on the scale drawing is 5.714 centimeters.

If you have anymore questions, feel free to comment and I will help you.

Two cross sections the same or different
Shape

Answers

Answer:same

Step-by-step explanation:because I said so

same i think so ????????? yea

Find the volume of the composite figure.



Figure not drawn to scale

Answers

The volume of the two cuboid added together will be 192 cm³.

what exactly is a cuboid?

A cuboid, also known as a rectangular prism, is a three-dimensional solid shape that has six rectangular faces. It is a type of polyhedron, a geometric figure with flat faces and straight edges.

A cuboid has three pairs of congruent and parallel faces, with each pair being congruent to the other. These pairs of opposite faces are known as bases, and the other four faces are called lateral faces. The lateral faces are also rectangles and are perpendicular to the bases.

Now,

As Volume of the cuboid= L*B*H

where l=length, B=Breadth and H=Height

and volume of the figure =volume of 2 cuboids

=8*4*3+10*3*4

=72+120

=192 cm³

Hence,

           The volume of the two cuboid added together will be 192 cm³.

To know more about cuboid visit the link

https://brainly.com/question/29424737

#SPJ1

Other Questions
what difficulties were encountered during the process of ratification? 2 paragraphs PLEASE AND THANK YOU the mass of the moon is 7.348e22 kg and its radius is 1738 km. what would be the weight of a 65 kg person standing on the moon? what is the answer: Mila la imagen Under a finance lease, before the leased asset is returned to lessor, the book value of the leased asset is equal to ______On January 1, 2016, Yancey, Inc. signs a 10-year noncancelable lease agreement to lease a storage building from Holt Warehouse Company. The following information pertains to this lease agreement.(a) The agreement requires equal rental payments at the beginning of each year.(b) The fair value of the building on January 1, 2016 is $5,000,000; however, the book value to Holt is $4,300,000.(c) The building has an estimated economic life of 10 years. Holt estimates a total residual value of $50,000 for the building at the end of the lease term. Yancey guarantees a residual value of $20,000 for Holt. Yancey depreciates similar buildings on the straight-line method.(d) Yancey's incremental borrowing rate is 11% per year. Holt Warehouse Co. set the annual rental to insure a 10% rate of return. The implicit rate of the lessor is known by Yancey, Inc. The present value of an ordinary annuity of 1 for nine years at 10% is 5.75902. The present value of an ordinary annuity of 1 for nine years at 11% is 5.53705. The present value of 1 at the end of ten years at 10% is 0.38554. The present value of 1 at the end of ten years at 11% is 0.35218.Question 1. What is the amount of the minimum annual lease payment? $___ (Rounded to the nearest dollar.)Question 2. From the lessor's viewpoint, is it a direct financing lease, sales-type lease, or operating lease? Answer: _____Question 3. Yancey, Inc. would record the depreciation expense on this storage building in 2016 of $______(Rounded to the nearest dollar.) InstructionsAdd the function min as an abstract function to the class arrayListType to return the smallest element of the list.Also, write the definition of the function min in the class unorderedArrayListType and write a program to test this function.part 1"unorderedArrayListTypeImp.cpp"#include #include "unorderedArrayListType.h" using namespace std;void unorderedArrayListType::insertAt(int location, int insertItem){ if (location < 0 || location >= maxSize) cout imhotep the architect wants to paint the great pyramid of giza Symmetry refers to an animal's molecular structure. True or false "Janie pulled back a long time because he did not represent sun-up and pollen and blooming trees, but he spoke for far horizon. He spoke for change and chance. " ^How could this quote symbolize fate PLEASE HELP! Due TODAYWrite equation to represent the relationship between d(distance traveled) and t(time). Use given variables (lower case), no spaces. A 15-year annuity of thirty $8,000 semiannual payments will begin 9 years from now, with the first payment coming 9.5 years from now.a. If the discount rate is 11 percent compounded monthly, what is the value of this annuity 4 years from now?b. What is the current value of the annuity? The jet is organizing its 10th anniversary celebration.As part of the activities for the celebration you have been asked as the current president of the club to give a talk on science and technology in a national development. Write your speech Consider the following investment alternatives: YEAR A B C D E 0-$100 -$100 -$100 -$100 -$100 1 $200 $470 -$200 0 $3002 $300 $720 $200 0 $250 3 $400 $360 $250 $500 -$40 If MARR is 20%, which one is the best based on PW comparison method? A) A B) B C) C D) D E) E Figure 2 shows the lawn ABCDEF, where ABDE is a rectangle of length y metres and width 2x metres. Each end of the lawn is a semi-circle of radius x metres. The lawn has perimeter 90 m and area S m d. Sdx= 90 - 2Given S = 90x-x, thenThe value x = 14. 32 gives a maximum value of SFind, to the nearest whole number, the maximum value of S Your cousin has moved to another region in Guyana. Write a letter informing him/her about an exciting experiment you conducted in a science lesson. You were cool and I was a fool...change into passive :) if 24 x 18 and (x-1)are in proportion find the value of x A dolphin is 30 feet below the surface of the water. She rises 23 feet and then rises another 7 feet. If there are no changes, where is the dolphin now? Which statement best describes the effect of President Warren Harding'seconomic policies?A. Harding's economic policies enabled the United States to get outof debt after World War I.B. Harding's economic policies helped the United States recover froma recession in the short term.C. Harding's economic policies helped small farmers and urbanworkers but didn't benefit business owners.D. Harding's economic policies lessened the inequality gap betweenthe wealthy and the poor. If a 2i j 8k and b i 3 j 4k, then the magnitude of a b A gas mixture in a 1.60 L at 310 K container contains 10.0 g of Ne and 10.0 g of Ar.