Angles and Parallel Lines Two parallel lines are cut by a transversal as shown in the image. Question 1 Find the measure of angle A. Responses A 150°150° B 115°115° C 125°125° D 130°

Answers

Answer 1
Maybe upload a photo no?

Related Questions

13 Convert 20 to a percentage.​

Answers

Answer:

13/20 written as a decimal is 0.65 and as a percent is 65%

1) Make the denominator 100 (20 x 5)

2) Multiply by five from the numerator too (13 x 5 = 65)

factor 36abc + 54d????

Answers

36abc+54d
Factor out 18.
18(2abc+3d)

PLEASE HELP ASAP!!! I'll MARK BRAINLIEST!!
Farmer Naxvip wanted to sell some hopts and totts at the market. She planned to charge $3 per hopt and $7 per tott. She expected to make at least $84. She expected to sell at most 24 units.
Write a system of statements, in standard form, modeling the relationships between amounts of hopts (x) and amount of totts (y).

Answers

Answer:

Let x be the number of hopts and y be the number of totts.

The first statement relates to the total amount of money expected to be made:

3x + 7y ≥ 84

This inequality states that the total revenue from selling hopts and totts should be at least $84.

The second statement relates to the total number of units expected to be sold:

x + y ≤ 24

This inequality states that the total number of hopts and totts sold should be at most 24 units. Therefore, the system of inequalities in standard form is:

3x + 7y ≥ 84

x + y ≤ 24

where x ≥ 0 and y ≥ 0 (since we cannot sell a negative number of hopts or totts).

Answer: Let "x" be the number of hopts that Farmer Naxvip plans to sell, and let "y" be the number of totts that she plans to sell. Then we can write the following system of inequalities to model the relationships between the amounts of hopts and totts:

3x + 7y >= 84

x + y <= 24

The first inequality represents the condition that Farmer Naxvip expects to make at least $84, while the second inequality represents the condition that she expects to sell at most 24 units.

Brainliest Appreciated! (:

can I get help with this question?

Answers

Answer:

A'(-2, 0)B'(0, 1)C'(1, -1)

Step-by-step explanation:

You want the coordinates of triangle ABC after dilation by a factor of 1/2.

Dilation

When the center of dilation is the origin, each of the coordinates is multiplied by the dilation factor:

  (x, y) ⇒ (x/2, y/2)

  A(-4, 0) ⇒ A'(-2, 0)

  B(0, 2) ⇒ B'(0, 1)

  C(2, -2) ⇒ C'(1, -1)

Estimate a 20% tip on a dinner bill of $169. 86 by first rounding the bill amount to the nearest ten dollars

Answers

Answer:

Tip is $34

Round up bill amount $170

Step-by-step explanation:

20/ 100 x 170 = $34

Tip is $34

BILL plus tip is $204

What is the value expression
2( X + 4) - (y * 8)
when x= 1/8
and y= 3/16
a 11/4
b 65/2
c 21/4
d 27/4

Answers

Answer:

d. 27/4, or 6.75

Step-by-step explanation:

[tex]2( \frac{1}{8} + 4) - ( \frac{3}{16} \times 8)[/tex]

[tex]2( \frac{33}{8} ) - \frac{3}{2} [/tex]

[tex] \frac{33}{4} - \frac{3}{2} = \frac{33}{4} - \frac{6}{4} = \frac{27}{4} = 6.75[/tex]

Nancy has twice as many apples as jay. Jay has 3 more apples than Ava. Nancy has 22 apples. How many apples dose Ava have?

Answers

Answer:

8 apples

Step-by-step explanation:

Step-by-step explanation:

n = Nancy's apples.

j = Jay's apples.

a = Ava's apples.

n = 22

n = j × 2

j = n / 2 = 22/2 = 11

j = a + 3

a = j - 3 = 11 - 3 = 8

Ava has 8 apples.

a particle moves along the x-axis so that at any time t>0, its velocity is given by v(t)=4-6t^2. if the particle is at a position x=7 at t=1 time, what is the position of the particle at time t=2?

Answers

Answer:

-11.

Step-by-step explanation:

We know that the velocity function v(t) is the derivative of the position function x(t).

So, we can integrate v(t) to find x(t) up to a constant of integration:

∫v(t) dt = ∫(4 - 6t^2) dt = 4t - 2t^3 + C

where C is the constant of integration.

We can find the value of C by using the initial condition that the particle is at position x=7 at t=1:

x(1) = 4(1) - 2(1)^3 + C = 7

C = 5

So, the position function is:

x(t) = 4t - 2t^3 + 5

To find the position of the particle at time t=2, we can substitute t=2 into the position function:

x(2) = 4(2) - 2(2)^3 + 5 = -11

Therefore, the position of the particle at time t=2 is -11.

Let W1 and W2 be independent geometric random variables with parameters p1 and p2. Find: a) P(W1=W2); b) P(W1W2); d) the distribution of min(W1,W2); e) the distribution of max(W1,W2).

Answers

a) The probability of that happening is P(W1 = 1, W2 = 2) = P(W1 = 2, W2 = 1) = p1p2.

b) P(W1 = 1)P(W2 > 1) + P(W1 = 1)P(W2 > 2) + P(W1 = 2)P(W2 > 3) + ...= p1(1 - p2) + p1(1 - p2)p2 + p1p2(1 - p2) + ...= p1(1 - p2)(1 +p2 + p22 + ...) = p1(1 - p2)/(1 - p2)2= p1/(1 - p2)2

c) The probability that their minimum value is k is P(min(W1, W2) = k) = P(W1 = k, W2 > k) + P(W1 > k, W2 = k) = p1(1 - p2)k-1p2 + p2(1 - p1)k-1p1

d) The probability that their maximum value is k is P(max(W1, W2) = k) = P(W1 = k, W2 = k) + P(W1 = k, W2 > k) + P(W1 > k, W2 = k) = p1p2k-1 + p1(1 - p2)k-1 + p2(1 - p1)k-1

a) P(W1 = W2)The probability that W1 = W2 is 0. If W1 and W2 have different values, then W1 is equal to either 1 or 2. The probability of that happening is P(W1 = 1, W2 = 2) = P(W1 = 2, W2 = 1) = p1p2. The probability of that happening is P(W1 = 1, W2 = 2) = P(W1 = 2, W2 = 1) = p1p2.b) P(W1 < W2)The probability of W1 being less than W2 is P(W1 = 1, W2 = 2) + P(W1 = 1, W2 = 3) + P(W1 = 2, W2 = 3) + ... This may be written as P(W1 = 1)P(W2 > 1) + P(W1 = 1)P(W2 > 2) + P(W1 = 2)P(W2 > 3) +...= p1(1 - p2) + p1(1 - p2)p2 + p1p2(1 - p2) + ...= p1(1 - p2)(1 + p2 + p22 + ...) = p1(1 - p2)/(1 - p2)2= p1/(1 - p2)2

d) Distribution of min(W1, W2)If W1 and W2 are independent geometric random variables with parameters p1 and p2, respectively, then the probability that their minimum value is k is P(min(W1, W2) = k) = P(W1 = k, W2 > k) + P(W1 > k, W2 = k) = p1(1 - p2)k-1p2 + p2(1 - p1)k-1p1e) Distribution of max(W1, W2)If W1 and W2 are independent geometric random variables with parameters p1 and p2, respectively, then the probability that their maximum value is k is P(max(W1, W2) = k) = P(W1 = k, W2 = k) + P(W1 = k, W2 > k) + P(W1 > k, W2 = k) = p1p2k-1 + p1(1 - p2)k-1 + p2(1 - p1)k-1

Learn more about Independent Geometric Variables

brainly.com/question/30480240

#SPJ11

How are the products of -3(1) and - 3(-1) the same? How are they different?

Answers

Answer:

Step-by-step explanation:

45342

NEED HELP ASAP WILL MARK BRAINLIST !!
Todd and Eric went to the book store. Eric spent $15 less than three times the
amount that Todd spent. If the shoppers spent a total of $197 in books, How much
did Eric spend?
$34
$53
$65
$71
$29
$59
$48

Answers

If the shoppers spent a total of $197 in books, the amount that Eric spend is $144.

How much did Eric spend?

Let's assume that Todd spent x dollars in the bookstore.

According to the problem, Eric spent $15 less than three times the amount that Todd spent, which can be written as:

3x - 15

The total amount spent by both shoppers is $197, so we can set up the equation:

x + (3x - 15) = 197

Simplifying and solving for x, we get:

4x - 15 = 197

4x = 212

x = 53

Therefore, Todd spent $53 in the bookstore.

To find how much Eric spent, we can substitute Todd's value into the expression we derived for Eric's spending:

3x - 15 = 3(53) - 15 = 144

So Eric spent $144 in the bookstore.

Learn more about amount spent here:https://brainly.com/question/29297461

#SPJ1

1) The area of the shaded sector is 51.3 square feet. What is an estimate for the radius of the
circle? Round the answer to the nearest foot.
B
60°
D
120°
C

Answers

3.31 is an estimate for the radius of the circle.

What precisely is a circle?

The circle fοrm is a clοsed twο-dimensiοnal shape because every pοint in the plane that makes up a circle is evenly separated frοm the "centre" οf the fοrm.

Each line tracing the circle cοntributes tο the fοrmatiοn οf the line οf reflectiοn symmetry. In additiοn, it rοtates arοund the center in a symmetrical manner frοm every perspective.

he radius of the circle, we need to use the formula for the area of a sector, which is:

Area of sector = (θ/360) x π x r

the radius of the circle "x" for now, and set up an equation using the given information

51.3 = (120/360) x π x

Simplifying this equation, we get:

= (51.3 x 360)/(120 x π)

x² ≈ 10.95

x ≈ √10.95

x ≈ 3.31

Learn more about circle

brainly.com/question/29142813

#SPJ1

Molly knows that 30% of the students at her school are boys and that there are 600 boys at her school. She wants to find the total number of students at the school, because she needs to order t-shirts for all the students.
What is the total number of students at Molly's school?

Answers

Answer:

Step-by-step explanation:

You ask yourself, "600 is 30% of how many students?". In equation form this looks like:

600 = .30x

Divide both sides by .30 and you'll get that the number of students is 2000

Spiral Review Solve for x
.

A linear pair of angles is shown. The left side is two x. The right side measures fifty degrees.

Enter the correct answer in the box.

Solution: x=

Answers

value of variable x is 65 degree.

define straight line

A straight line is a geometric object that extends infinitely in both directions and has a constant slope or gradient. It is the shortest distance between two points, and it can be described by an equation in the form of y = mx + c, where m is the slope or gradient of the line and c is the y-intercept.

Define supplementary angle

The term "supplementary angles" refers to two angles whose sum is equal to 180 degrees. In other words, if angle A and angle B are supplementary angles, then:

∠A +∠B = 180 degrees

To find value of x

A straight line's angle total is 180°.

2x+50°=180°

2x=130°

x=65

Hence, value of variable x is 65 degree.

To know more about variable, visit:

https://brainly.com/question/17344045

#SPJ1

Isabella's ice cream parlor uses waffle cones that have a diameter of 5 in. and a height of 6 in. what is the volume of ice cream that completely fills one cone to the top? enter your answer as a decimal in the box. use 3.14 for pi.

Answers

The volume of ice cream that fills one waffle cone to the top is 13.09 cubic inches.

The waffle cone has the shape of a circular cone. The volume of a cone is given by the formula [tex]V = (1/3) * \pi * r^2 * h[/tex], where r is the radius of the circular base and h is the height of the cone.

The diameter of the cone is given as 5 inches, so the radius is half of the diameter, or 2.5 inches. The height is given as 6 inches. Substituting these values into the formula, we get:

V = [tex](1/3) * 3.14 * (2.5 inches)^2 * 6 inches[/tex]

V = 13.09 cubic inches

Therefore, the volume of ice cream that completely fills one waffle cone to the top is 13.09 cubic inches (rounded to two decimal places).

To find the volume of ice cream that fills the waffle cone completely to the top, we first note that the waffle cone has the shape of a circular cone. We use the formula for the volume of a cone, which is [tex]V = (1/3) * \pi * r^2 * h[/tex], where r is the radius of the circular base and h is the height of the cone.

We are given the diameter of the cone, which is 5 inches, and we find that the radius is half of the diameter, or 2.5 inches. We are also given the height of the cone, which is 6 inches. Substituting these values into the formula, we can calculate the volume of the cone as 13.09 cubic inches (rounded to two decimal places). Therefore, the volume of ice cream that completely fills one waffle cone to the top is 13.09 cubic inches.

Learn more about diameter here:

https://brainly.com/question/1448361

#SPJ4

A boy 5m tall observes a bird on top of a pole 20m high at an angle of elevation 30°, calculate the horizontal distance between the boy and the pole​

Answers

Answer:

34.28 meters

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's call the horizontal distance between the boy and the pole "d". Then we can draw a right triangle with the boy's height (5m) as one leg, the distance "d" as the other leg, and the hypotenuse being the distance from the boy's eyes to the top of the pole (which we don't know yet).

We can use the angle of elevation to find the length of this hypotenuse. The angle of elevation is the angle between the horizontal and the line of sight from the boy's eyes to the top of the pole. Since the boy is looking up at the bird, this angle is also the same as the angle between the hypotenuse and the vertical (i.e. the angle at the top of the triangle). So we have:

tan(30°) = opposite/adjacent

where "opposite" is the height of the pole (20m) and "adjacent" is the hypotenuse. Solving for "adjacent", we get:

adjacent = opposite/tan(30°) = 20/tan(30°)

We can simplify tan(30°) to 1/√3, so:

adjacent = 20/(1/√3) = 20√3

Now we can use the Pythagorean theorem to find the horizontal distance "d":

d^2 + 5^2 = (20√3)^2

Simplifying and solving for "d", we get:

d = √[(20√3)^2 - 5^2] = √(1200 - 25) = √1175

So the horizontal distance between the boy and the pole is approximately 34.28 meters (rounded to two decimal places

An open box (no lid) with a square base has a volume of 4 cubic feet. What dimensions will minimize the surface area?

Answers

If a square base has a volume of 4 cubic feet, the dimensions that minimize the surface area are: x = 2√2 and h = 4/x^2 = 1/2.

Let x be the side length of the square base and h be the height of the box. Since the volume is 4 cubic feet, we have:

V = x^2h = 4

Solving for h, we get:

h = 4/x^2

The surface area of the box, A, is given by:

A = x^2 + 4xh

Substituting h in terms of x, we get:

A = x^2 + 4x(4/x^2) = x^2 + 16/x

To minimize A, we take the derivative with respect to x and set it equal to zero:

dA/dx = 2x - 16/x^2 = 0

Solving for x, we get:

x = 2√2

To ensure that this is a minimum, we take the second derivative:

d^2A/dx^2 = 2 + 32/x^3

At x = 2√2, this is positive, indicating a minimum.

The box has a square base with side length 2√2 feet and height 1/2 feet.

To learn more about dimensions click on,

https://brainly.com/question/29511012

#SPJ4

Find and simplify the difference quotient \( \frac{f(x+h)-f(x)}{h} \) for the following function. \[ \begin{array}{c} f(x)=6 \\ \frac{6(x+h-1)}{h} \\ x \end{array} \]

Answers

The simplified difference quotient for the function [tex]\(f(x)=6\) is \(\frac{x+h-1}{h/6}\).[/tex]

The difference quotient for the function \(f(x)=6\) is given by the formula \( \[tex]frac{f(x+h)-f(x)}{h}\)[/tex]. To simplify this difference quotient, substitute the given value of \(f(x)\) into the equation:


[tex]\( \frac{f(x+h)-f(x)}{h} = \frac{f(x+h)-6}{h} \).[/tex]  Next, substitute the value of \(f(x)\) into the numerator:

[tex]\frac{6(x+h-1)}{h} \\[/tex]  .

Finally, divide both sides of the equation by 6 to simplify the equation:

[tex]\( \frac{6(x+h-1)}{h} = \frac{x+h-1}{h/6} \)[/tex]

To know more about function, click here:

https://brainly.com/question/31062578

#SPJ11

Frankie is flying to Seattle, Washington from Detroit, Michigan. He
leaves at 12 pm Eastern time. The flight is 5 hours. What time will it be in
Seattle (Pacific time) when he lands

Answers

Seattle is 3 hrs behind Detroit, so she’ll be landing in Seattle at 2pm.

Without using a calculator, find the values of the integers a and b for which the solution of the equation (a) x√24 + √96 = √108 + x√12 is √a + b₁ (b), x√40 =x√5 + √10 is a + √№b 7​

Answers

(a) The solution of the equation is √6 + 2.

(b) a = 10 and b = 2, and the solution of the equation is √10 + 7.

What is the solution of the equation?

((a) To solve this equation, we need to isolate the term with the variable x on one side and move all other terms to the other side.

Let's start by simplifying each term using the fact that;

√24 = √(4 × 6) = 2√6,

√96 = √(16 × 6) = 4√6,

√108 = √(36 × 3) = 6√3, and

√12 = √(4 × 3) = 2√3.

Then, we have:

x√24 + √96 = √108 + x√12

2x√6 + 4√6 = 6√3 + 2x√3

2(√6 + 2√3) = (x√3 + 2x√6)

2√6 + 4√3 = x(√3 + 2√6)

Now, we can equate the coefficients of √6 and √3 on both sides to get a system of equations:

2 = x

4 = 2x

Solving this system, we find that x = 2 and therefore a = 6 and b₁ = 2.

So, the solution of the equation is √6 + 2.

(b) To solve this equation, we also need to isolate the term with the variable x on one side and move all other terms to the other side.

Let's start by squaring both sides of the equation to eliminate the square roots:

(x√40)² = (x√5 + √10)²

40x² = 5x² + 10 + 2x√50 + 10

35x² - 20 = 2x√50

Now, we can square both sides again to eliminate the remaining square root:

(35x² - 20)² = (2x√50)²

1225x⁴ - 1400x² + 400 = 0

This is a quadratic equation in x². We can solve it using the quadratic formula:

x² = (1400 ± √(1400² - 4 × 1225 × 400)) / (2 × 1225)

x² = (1400 ± 200) / 245

x² = 2 or x² = 8/7

Since x² cannot be negative, we have x² = 2 and therefore x = √2.

Substituting this value of x back into the original equation, we have:

x√40 = x√5 + √10

√80 = √10 + √10

√80 = 2√10

So, a = 10 and b = 2, and the solution of the equation is √10 + 7.

Learn more about integers here: https://brainly.com/question/17695139

#SPJ1

Alexander went to the store to buy some walnuts. The price per pound of the walnuts is $8 per pound and he has a coupon for $1 off the final amount. With the coupon, how much would Alexander have to pay to buy 2 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.

Answers

Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.

What is a cost function?

The functional connection between cost and output is referred to as the cost function. It examines the cost behaviour at various output levels under the assumption of constant technology. An essential factor in determining how well a machine learning model performs for a certain dataset is the cost function. It determines and expresses as a single real number the difference between the projected value and expected value.

Given that, the price per pound of walnuts is $8.

2 pounds x $8/pound = $16

Alexander would get $1 off the final amount.

Thus,

$16 - $1 = $15

So Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon.

The expression for the cost can be written as:

cost = ($8/pound) x pp - $1

Hence, Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.

Learn more about algebraic expressions here:

https://brainly.com/question/24875240

#SPJ1

What is the remainder when 5x3 + 2x2 - 7 is divided by x + 9?

Answers

Answer:

The remainder when 5x3 + 2x2 - 7 is divided by x + 9 is -692.

Explanation:

We can use long division to divide 5x^3 + 2x^2 - 7 by x + 9:

-5x^2 + 43x - 385

x + 9 | 5x^3 + 2x^2 + 0x - 7

5x^3 + 45x^2

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

-43x^2 + 0x

-43x^2 - 387x

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

387x - 7

Therefore, the remainder when 5x^3 + 2x^2 - 7 is divided by x + 9 is 387x - 7.

Hope this helps, sorry if this is wrong! :]

James had 20 minutes to do a three-problem quiz. He spent 8 1 4 minutes on question A and 3 4 5 minutes on question B. How much time did he have left for question C?

Answers

Answer:

8.41

Step-by-step explanation:

8.14+3.45=11,59

20-11,59=8.41

6) (8 pts) A hospital is interested in evaluating the percent of patients entering the emergency department who are admitted to the hospital. Data for randomly selected day was collected and out of 187 patients who entered the emergency department, 42 were admitted to the hospital. a) (6 pts) Calculate a 90% two-sided confidence interval for p, the percent of people entering the emergency department who are admitted to the hospital. b) (2 pts) In planning staffing to care for admitted patients, the hospital has assumed that 25% of people who enter the emergency department are admitted to the hospital. Based on your answer to part (a), is it reasonable for the hospital to use this assumption? Explain your answer using information from part (a)

Answers

90% people entering the emergency department is within the interval of [0.1559, 0.2933].

The confidence interval of the percent of patients entering the emergency department who are admitted to the hospital is [0.1763, 0.3137]. It is not reasonable for the hospital to assume that 25% of people who enter the emergency department are admitted to the hospital. Here's why.How to calculate a 90% two-sided confidence interval for p, the percent of people entering the emergency department who are admitted to the hospital:$$CI_p =\bigg(\hat{p}-Z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}, \hat{p}+Z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\bigg)$$ where $\hat{p} = \frac{x}{n}$, $\alpha = 0.10$, $Z_{\alpha/2} = 1.645$ (for a 90% confidence interval), and $n = 187$. The margin of error is given by $$ME = Z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$Plugging in the values, we get $$\hat{p} = \frac{42}{187} = 0.2246$$$$ME = 1.645 \cdot \sqrt{\frac{0.2246\cdot 0.7754}{187}} \approx 0.0687$$Therefore, the confidence interval for $p$ is $$CI_p = (0.2246-0.0687, 0.2246+0.0687) = (0.1559, 0.2933)$$The 90% two-sided confidence interval for the percent of people entering the emergency department who are admitted to the hospital is [0.1559, 0.2933].Since the interval doesn't include 0.25, the hospital should not use the assumption that 25% of people who enter the emergency department are admitted to the hospital. This is because the interval does not overlap with the value of 0.25. As a result, we are 90% confident that the true proportion of people who are admitted to the hospital after entering the emergency department is within the interval of [0.1559, 0.2933].

Learn more about confidence interval

brainly.com/question/24131141

#SPJ4

7. A man wishes to invest $3500. He can buy savings bonds which pay simple
interest at the rate of 12% per annum or he can start a savings account which
pays compound interest at the same rate. Calculate the difference in the
amounts of the two investments at the end of the 3 years.
a)
1200 x 9 x2
=​

Answers

Robert is currently 10 years old.Given that five years ago Sharon was twice as old as Robert was then, we can set up the following equation: y + 5 = 2(y)

We are given the information that Sharon is five years older than Robert, and five years ago Sharon was twice as old as Robert was then. This means we can create a system of equations to solve for Robert's age.

Let x = Robert's current age

Let y = Robert's age five years ago

Given that Sharon is five years older than Robert, we can set up the following equation:

x + 5 = Sharon's current age

Given that five years ago Sharon was twice as old as Robert was then, we can set up the following equation:

y + 5 = 2(y)

Solving the first equation for x, we get x = Sharon's current age - 5. Substituting this into the second equation, we get:

y + 5 = 2(Sharon's current age - 5)

Solving this equation for y, we get y = (Sharon's current age - 5)/2.

Since Sharon is five years older than Robert, Sharon's current age is x + 5. Substituting this into our equation for y, we get:

y = (x + 5 - 5)/2

Simplifying this equation, we get y = x/2. This means that Robert's age five years ago was half of his current age.

Since we know that Robert is currently 10 years old, Robert's age five years ago was 5. Therefore, Robert is currently 10 years old.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Find the area of the sector whose radius and central angle are 42cm and 60° respectively.​

Answers

Answer:

Step-by-step explanation:

[tex]D=\frac{\theta}{360} \times2\times\pi \times r[/tex]

[tex]D=\frac{60}{360} \times2\times\pi \times 42[/tex]

    [tex]=\frac{1}{6} \times84\times\pi[/tex]

    [tex]=12\pi cm^2[/tex]

Justin is joining a gym the gym is offering a discount on the fee to join and on the monthly rate the discounted price in dollars the gym charges can be represented by the equation Y equals 10 X +5

Part A what are the slope and the Y intercept of the equation what do the slope and y-intercept each represent in this situation ?.

Part B the regular price in dollar the gym charges can be represented by the equation Y equals 15 X +20. How much money in dollars does Justin save the first month by joining the gym at the discounted price rather than the regular price


Part C Justin create a system of equation based on the equation from part a and the equation from part B, the solution to the system of equation is (-3, -25) Why is the point (-3, ,-25) not possible solution in this solution ?

Answers

Part A:

The equation Y = 10X + 5 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Therefore, in this equation, the slope is 10 and the y-intercept is 5.

The slope represents the rate of change in the monthly rate of the gym membership. For every one unit increase in the number of months, the monthly rate will increase by $10. The y-intercept represents the initial cost of joining the gym, which is $5.

Part B:

To find out how much money Justin saves the first month by joining the gym at the discounted price, we need to calculate the difference between the regular price and the discounted price for the first month.

The regular price for the first month can be found by plugging in X = 1 into the equation Y = 15X + 20, which gives Y = 35.

The discounted price for the first month can be found by plugging in X = 1 into the equation Y = 10X + 5, which gives Y = 15.

Therefore, Justin saves $20 (35 - 15) the first month by joining the gym at the discounted price rather than the regular price.

Part C:

The system of equations is:

Y = 10X + 5 (discounted price)

Y = 15X + 20 (regular price)

The solution to the system of equations is (-3, -25), which means that if X = -3, then Y = -25 is a solution to both equations. However, this solution is not possible in this situation because X represents the number of months, which cannot be negative. Therefore, the point (-3, -25) is not a valid solution.

Alex is a single taxpayer with $80,000 in taxable income. His investment income consists of $500 of qualified dividends and short-term capital gains of $2,000. Use the tables to complete the statement

Answers

Due to Alex's salary falling inside the 22% tax bracket, his short-term capital gains would be subject to the same rate of taxation as his income.

What is short-term capital?

A profit realized from the sale of a capital asset, such as a piece of personal or investment property, that has been possessed for one year or less is referred to as a short-term gain.

These profits are classified as ordinary income subject to tax at your personal income tax rate. Gain earned by selling assets that are held for a year or less are called short-term capital gains.

Alex is a single taxpayer who has taxable income of $80,000.

His investment income is made up of $2,000 in short-term capital gains and $500 in qualifying dividends.

As a result of his tax rate income falling between 38,601 and 425,800, which is below 15%, his qualifying dividends would be subject to a 15% tax.

Hence, we must deduct 15% of 500 and 22% of 2000 before combining them.

15% x 500

= 15 x 5

=  75

22% x 2000

= 22 x 20

= 440.

The total is = 75 + 440 = 515.

To know more about short-term capital, visit:

https://brainly.com/question/20910889

#SPJ1

For isosceles trapezoid LNOP, m\angle N=84m∠N=84, m\angle O=\left(4y-4\right)m∠O=(4y−4), now find the value of y, m\angle Lm∠L and m\angle Pm∠P

Answers

When we simplify the equation, we obtain: 2y + 20 = 56 2y = 36 y = 18 Hence, mL = 140 – 2y = 104°, mP = 104°, and mN = mO = (180° – mL – 84° – (4y–4)°)/2 = 76°.

The base angles are equivalent because the LNOP is an isosceles trapezoid. As a result, mP = mL. Since we now know that a quadrilateral's total angles equal 360°, we can say. 360° = mL + mN + mO + mP Inputting the values provided yields: m∠L + 84° + (4y-4)° + m∠L = 360° When we simplify the equation, we obtain: 2m∠L + 4y + 80 = 360 2m∠L = 280 - 4y m∠L = 140 - 2y The non-parallel sides of LNOP are congruent since it is an isosceles trapezoid. As a result, mN = mO. We are aware of: 180° - mL = mN + mO Inputting the values provided yields: 84° + (4y-4)° = 180° - (140-2y)° When we simplify the equation, we obtain: 2y + 20 = 56 2y = 36 y = 18 Hence, mL = 140 – 2y = 104°, mP = 104°, and mN = mO = (180° – mL – 84° – (4y–4)°)/2 = 76°.

learn more about  angles here:

https://brainly.com/question/28451077

#SPJ4

Use the following statement to answer parts ​a) and​ b). Five hundred raffle tickets are sold for​ $3 each. One prize of ​$200 is to be awarded. Winners do not have their ticket costs of​ $3 refunded to them. Raul purchases one ticket.

​a) Determine his expected value.

​b) Determine the fair price of a ticket.


11. 3#12

Answers

Therefore, the fair price of one raffle ticket is $2.60, which is slightly less than the amount Raul paid ($3).

a) The fair price of one raffle ticket is $3. This is because 500 tickets were sold at this price and one prize of $200 is to be awarded. Therefore, the 500 tickets collected add up to $1,500, while the prize to be awarded is $200. The net amount to be divided among all the ticket holders is $1,300.

b) The fair price of one raffle ticket is $2.60. This is calculated by dividing the total prize money of $200 by the total number of tickets sold (500). Therefore, 500 tickets multiplied by $2.60 gives a total prize money of $1,300 which is equal to the total ticket sales of $1,500 less the prize money of $200.

For more such ticket related questions

https://brainly.com/question/107024

#SPJ11

Other Questions
gina prepara un postre para 8 personas usa 1/2 de libra de mantequilla 1/4 de libra de azucar ,una lib a de harina y 3/2 libra de queso cuantas libras de ingredientes necesita si para preparar la receta para 16 personas cuantas libras necesita how weather conditions affect the look and appearance of snow? 2.1 How would you describe the way in which Columbus and the Spanish are drawn? Discuss on the following in relation to property value;Substitution Principle(5 marks)Contribution Principle(5 marks)Highest and Best Use Principle(5 marks) Let n be a positive integer. If (1+2+3+4+5+6)^2 = 1^3+2^3+. N^3, what is the value of n? PLEASE HELP :| In OPQ,OPQ, QOPQQO PQ and mQ=50. mQ=50 . Find mP. mP inventory records for capetown, incorporated revealed the following: date transaction number of units unit cost april 1 beginning inventory 460 $ 2.31 april 20 purchase 390 2.75 capetown sold 580 units of inventory during the month. ending inventory assuming fifo would be: (do not round your intermediate calculations. round your answer to the nearest dollar amount.) multiple choice Three times a number lies between negative three and six in digits One type of marketing strategy is targeted marketing. Which of the following best describes targeted marketing?A. deciding on target safety concerns B. Creating profit targets for the final year figuring out a target market C. Figuring out a target market You invest $100 in a risky asset with an expected rate of return of 0.14 and a standard deviation of 0.23 and a T-bill with a rate of return of 0.04. To form a portfolio with an expected return of 0.147, you must invest ________% of your money in the risky asset and the rest in the T-bill. (Please round your answer to one decimal place and note 0.325 should be expressed as 32.5%) The Great African Elephant Census, completed in 2016, found a total population of about 350,000 African ele- phants, and concluded that the population was decreasing at a rate of about 8% per year, primarily due to poaching. What is the approximate half-life for the population? Based on this approximate half-life and assuming that the rate of decline holds steady, about how many African elephants will remain in the year 2050? SUN The temperature of the Sun's surface is about 5.510^3 degrees Celsius. The temperature of the Sun's core is about 2.710^3 times hotter than the surface. What is the approximate temperature of the Sun's core? (In Celsius) PLEASE BE QUICK!! simplity: 2x3 + 3y3 + 5x3 + 4y What is the role of respiration in living organisms? Responses It transports materials like food and oxygen to the cells. It transports materials like food and oxygen to the cells. It provides the energy needed by cells. It provides the energy needed by cells. It removes the carbon dioxide that is a waste product. It removes the carbon dioxide that is a waste product. It takes in the oxygen that organisms need. You are required to identify five industries that are familiar to you and explain the transformation process (input, process and output). Assignment Guidelines - Word limit 800 words (+- 10%) - This Assignment carries a total of 10 marks. - Please use the format from the word file that is uploaded to the Moodle for the cover page. - Rename your file using your registration number. For example, if your registration number is A/13/009, rename your PDF file as - A13009.pdf. - The answer should be original and free from plagiarism. - Deadline for online submission - 27.02.2021, 11.55 p.m. PLEASE HELP DO VERY SOON! What is Radar's response when Quentin complains about Ben to him? What flaw in Quentin does Radar identify?A. Radar is empathetic toward Quentin. He tells Quentin that he's simply too much a people pleaser and as a result, he's always going to feel disappointed in return. B. Radar is frank with Quentin. He says that Quentin has to accept people for who they are, flaws and all, just as Quentin's friends accept him too in spite of his ownflaws.C. Radar is frustrated with Quentin. He tells Quentin that he needs to stop complaining so much and being so negative when his life really isn't that bad. D. Radar is impatient with Quentin. He tells Quentin that he needs to stop obsessing over his problems and instead try to come up with solutions. 1000x100/2+8-4=____________ Discuss about the advantage of GUI operating system (MS-Window) over Text based operating system (DOS). Frank needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 56-m-by-56-m square. Frank says the area is 1,787. 52m squared. Find the area enclosed by the figure. Use 3. 14 for pi. What error might have made? Short poem using genetics heredity, chromosomes, DNA, genes, dominant ,recessive,Mendel genotypes, and colorblind