The linear equation in the form p(n) = mn + b that gives the price p they can charge for n shirt is p(n) = - 1 / 250n + 34.
How to linear equation in slope intercept form?Linear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p , it can charge per shirt. 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 .
Therefore,
using (1000, 30) and (3000, 22) let's find the slope.
m = 22 - 30 / 3000 - 1000
m = - 8 / 2000
m = - 1 / 250
Hence, let's find the y-intercept using (1000, 30)
p(n) = mn + b
where
p = pricen = number of shirtTherefore,
30 = - 1 / 250 (1000) + b
30 = - 4 + b
b = 30 + 4
b = 34
Hence, the linear equation is p(n) = - 1 / 250n + 34
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Please answer for brainly and 5 star thanks
Using the graph given, the rate of change from hour 4 to hour 7 is: -20.
How to Find the Rate of Change of a Graph?The rate of change of a relationship that is represented on a graph is determined using the formula below:
Rate of change = f(b) - f(a) / b - a.
Given the graph above, we are asked to find the rate of change between the interval x = 4 to x = 7:
a = 4
f(a) = f(4) = 120
b = 7
f(b) = f(7) = 60
Plug in the values:
Rate of change = f(b) - f(a) / b - a = (60 - 120) / (7 - 4)
= -60/3
Rate of change = -20.
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6,370 x 30 find the products
How do I show my thinking or ideas
Example
637•3 6370•30
=1911 =(6370•3)• (10•10)
Answer:
Product: 191,100
Step-by-step explanation:
Show your work:
(It should look something like this)
6370 x 30
First: 0 x 0 = 0 (so you put):
6370 x 30
0
(everything else times 0 just equals 0 so you'd get this):
6370 x 30
0000
Next: 3 x 0 = (so you put):
6370 x 30
0000
0
Next: 3 x 7 = 21 (so you put):
6370 x 30
0000
10
(carry the 2)
Next: 3 x 3 = 9 (so you put):
2
6370 x 30
0000
1 10
(add the number you carried to 9: giving you 11 so you also have to carry a 1 again)
(the first number: 0 of 110 goes under the third 0 of 0000)
(the spacing is just to make sure that the placement is correct: the first 1: of 110 goes under the first 0 of 0000)
Next: 3 x 6 = 18 (so you put):
1 2
6370 x 30
0000
191 10
(you add the 1 that you carried to 18 to give you 19)
(again: I only moved the zeros over so that the placement is correct)
Next: Now you add(this is why the placement of the numbers is important):
1 2
6370 x 30
0000
+ 191 10
191,100
(you will put imaginary zeros over 19 because you know that there is already nothing there. You will also add an imaginary zero under the last zero that is hanging there because you know there is nothing there either.)
(Hope this helps! I know its really confusing, if you have any further questions or if the way I explained confused you please tell me or ask me those questions.) :)
Write an equation of the line through (-4,0) and (6,-1). Write the equation in standard form.
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-1 -0}{6 +4} \implies \cfrac{ -1 }{ 10 } \implies - \cfrac{1 }{ 10}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- \cfrac{1 }{ 10}}(x-\stackrel{x_1}{(-4)}) \implies y -0 = - \cfrac{1 }{ 10} ( x +4) \\\\\\ y=- \cfrac{1 }{ 10}(x+4)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10(y)=10\left( - \cfrac{1 }{ 10} ( x +4) \right)}\implies 10y=-(x+4) \\\\\\ 10y=-x-4\implies {\Large \begin{array}{llll} x+10y=-4 \end{array}}[/tex]
What is the perimeter of this triangle?
The triangle has a perimeter of 48 units.
How to determine the perimeter of a triangle
Triangles are figures with three sides, the perimeter is the sum of the lengths of the three sides. The length of each side is determined by Pythagorean theorem:
l = √(x² + y²)
Where:
l - Side lengthx - Horizontal length of the side.y - Vertical length of the side.First, determine the horizontal and vertical length of each side:
Side 1
x = 18, y = 0
Sides 2, 3
x = 9, y = 12
Second, determine the side lengths:
Side 1:
l = 18
Sides 2, 3
l = √(9² + 12²)
l = 15
Third, calculate the perimeter of the triangle:
p = 18 + 15 + 15
p = 48
The perimeter of the triangle is equal to 48 units.
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Christopher has $780 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $446.45.
He buys 2 bicycle reflectors for $16.82 each and a pair of bike gloves for $24.60.
He plans to spend some or all of the money he has left to buy new biking outfits for $43.70 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Christopher can purchase while staying within his budget.
The required inequality for number of outfit is n ≤ 6.3 and Christopher can purchase 6 biking outfits.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Given that,
Maximum amount that Christopher can spend = $780.
The price of new bicycle = $446.45.
Also, Christopher buys 2 bicycle reflectors for $16.82 each.
And a pair of bike gloves for $24.60.
Let Christopher buys n outfits.
The price of 1 outfit is $43.70.
The price of n outfits = $43.70n
Since, Price of 1 bicycle reflectors = $16.82
Price of 2 reflectors = $16.82 x 2 = $33.64
The inequality to determine the number of outfits can be written as,
43.70n + 446.45 + 24.60 + 33.64 ≤ 780.
43.70n + 504.69 ≤ 780.
43.70n ≤ 780 - 504.69
43.70n ≤ 275.31
n ≤ 6.3
The maximum number of outfit Christopher can purchase is 6.
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Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon. What is the best estimate for the total time Jordan went swimming?
The total time for Jordan went swimming will be;
⇒ 41/24
What is Addition?
The process of combining two or more numbers is called the Addition.
Given that;
Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.
Now,
Since, Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.
Hence, The total time for Jordan went swimming will be;
⇒ 7/8 + 5/6
⇒ (21 + 20) / 24
⇒ 41/24
Thus, The total time for Jordan went swimming will be;
⇒ 41/24
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What is the length of Line segment AC?
3 ft
4 ft
18 ft
12 ft
The sales tax rate on a new vehicke is 6.5 percent. If the vehicle is priced at 12,000, how much will you be charged for sales tax?
If sales tax rate on a new vehicle is 6.5 percent. If the vehicle is priced at 12,000, then 780 will be charged for sales tax
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The sales tax rate on a new vehicle is 6.5 percent.
The price of the vehicle is 12000
We need to find the how much will you be charged for sales tax
Let us convert 6.5 percent to the decimal value by dividing it with 100
6.5/100×12000
0.065×12000
780
Hence, 780 will be charged for sales tax.
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Consider a function f(x) = x^ 2.
A second function h(x) is the result of reflecting f(x) across the x-axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).
Please Help will mark brainliest :)
Answer:
h(x) = - x² + 3
Step-by-step explanation:
Given f(x) reflected in the x- axis , then
h(x) = - x²
Given h(x) then h(x) + c is a vertical translation
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here h(x) is shifted 3 units up , then
h(x) = - x² + 3
i gotchu
Graph the solution to this inequality on the number line.
35z>34
Answer:
see the attached image.
Step-by-step explanation:
First, divide by 35 on both sides to isolate 1 multiple of z.
[tex]35z > 34\\\overline{\ 35\ } \ \ \ \: \overline{35}[/tex]
[tex]z > \dfrac{34}{35}[/tex]
See the attached image for a graph.
The values of z stop at an open circle at the point 34/35.
The temperature T°C of a cup a tea t minutes after being poured is modelled by the exponential decay function:
T=18+68e^-t/8, t>/= 0
a) What is the initial temperature of the tea the moment it was poured?
b) When will the temperature of the tea reach 35°C?
c) Explain why the tea will never reach an ambient temperature of 15°C.
Using the exponential function T = 18 + 68e^(-t/8), the initial temperature is 86°C, the time the temperature will reach 35°C is 11.1 minutes
Exponential FunctionAn exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
An exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The exponential function is an important mathematical function which is of the form f(x) = aˣ
In the question given, the exponential function given shows an exponential decay
T = 18 + 68e^(-t/8)
a) The initial temperature when the tea was poured would be (t = 0)
T = 18 + 68e^(-0/8)
T = 16 + 68 = 86°C
b) The temperature of the tea at 35°C
35 = 18 + 68e^(-t / 8)
T = 11.1
c) The reason why the the tea will never reach 15°C is because there's no solution for the expression.
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What 3 parts are needed to show a number in scientific notation?
1. A whole number and a decimal, a multiplication symbol, a power of 10
2. An exponent to the 2nd power, a multiplication symbol, a whole number from 1 to 10
3. A decimal or whole number, a multiplication symbol, a power of 10
4. A decimal between 1 and 10, a multiplication symbol, a power of 10
3) A
a
Square with an area of 25m² and
perimeter of 20 is reflected across line
L, then translated 20m right, and then
rotated 20 degrees clockwise, what is
area and perimeter after these transformations?
the
Answer:
Area =25m²
Perimeter = 20m
Step-by-step explanation:
None of the transformations described change the size or shape of the original object, only position and orientation are changed
3 + 5 to the power of 2 - 6 • 4
Answer: The correct answer is 4
Step-by-step explanation:
You welcome have a great day
floor of a classroom is 38 feet in length and 34 feet in width. A scale drawing of the floor has a length of 19 inches.
Answer:
38 i think i hope this helps
Use the distributive property to simplify: 5(4x - 7)
Group of answer choices
20x-35
5x-5
35-20x
4x-35
Answer:
the answer is 20x -35
Step-by-step explanation:
5 x 4x = 20x
5 x -7 = -35
The answer options for exercise 5(4x-7) are:
A) 20x-35
B) 5x-5
C) 35-20x
D) 4x-35
To solve this exercise 5(4x-7), we organize the expression with the distributive law.
The distributive law is: a(b+c)=ab+ac.
5(4x - 7) = 5 × 4x - 5 × 720x - 35Therefore, the correct option is alternative "A".
find the paramater 1/2x-7 x
Answer:
-13/2x
Step-by-step explanation:
1/2x +(−7x)
Combine Like Terms:
12x +(−7x)
(1/2x +−7x)
−13/2x
Given m || n, find the value of x.
Answer:
x=11°
Step-by-step explanation:
Because line t is 180°, (9x-5)°+(6x+20)°=180°
Simplify:
(9x-5)°+(6x+20)°=180°
9x-5+6x+20=180
15x-5+20=180
15x+15=180
15x=165
x=11
PLEASE MARK AS BRAINLIEST!!Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week. how much money did Kylie make?
If Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week.
We have to find the money did Kylie make,
We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.
Suppose the money did Kylie make is x,
x = 8.50 × 20.88
x=$ 177.48
Thus, if Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.
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Point P was rotated about the origin (0, 0) by - 15°.
Answer:
the answer is d.
Step-by-step explanation:
find the greatest perfect square that is a factor of 495
Answer:
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495 are the factors of 495. Additionally, the highest perfect square on this list is 9, and 3 is 9's square root. So, A is equal to 3.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The factors of 495 are:
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.
The greatest perfect square that is a factor of 495 is 9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
495
The factors of 495 are:
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.
Now,
The perfect squares from the factors of 495 are 1 and 9.
9 is the greatest perfect square of 495.
Thus,
The greatest perfect square that is a factor of 495 is 9.
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Does the volume of a cone increase more when you double the height of the original or when you double its radius? Explain why.
The volume of a cone increase more when you double the height of the original or when you double its radius. This is true.
What is a cone?A cone is a shape formed by connecting a common point, known as the apex or vertex, to all the points of a circular base with a set of line segments. The height of the cone is the distance from the vertex to the base.
A cone always contains a right angle. To solve for the volume of a cone, we need to get the radius of the cone and its height. radius is the line from the center of the circle of the cone going to the edge of the circle. height is the measurement of the cone from its pointy tip going downward.
The volume of a cone is 1/3πr²h, so if you double the radius the volume would quadruple. So, when the height is doubled, the volume is also doubled.
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(04.06A) Which of the following does not describe slope?
The option that doesn't describe slope is A. A line joining points.
What is a slope?Slope is determined by dividing the vertical change by the horizontal change between two distinct points on a line.
It is defined as the difference in y coordinate divided by the difference in x coordinate between two distinct points on the line.
A line's slope is a number that describes both its direction and its steepness. Slope is a measure of change or a constant rate of change between two points.
As a result, from the options given, slope is not a line segment connecting two points, but rather the change in a line segment between two points.
It should be noted that the correct option is A.
The complete question is given below.
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Complete question
Which of the following does not describe slope?
A. A line joining points.
B. A constant rate of change
C. A proportional relationship
D. A measure of change
I need help with this ! Anything helps.
Which of the following choices is equivalent to the equation?
3(x−1) = 27
x – 1 = 9
x – 1 = 3
x – 1 = -3
Answer:
just finished a challenge
Step-by-step explanation:
There is a store that is having a 25% sale off of everything.Lin is buying a jacket that costs $40. What is the cost of the jacket after the discount?
Answer:
30
Step-by-step explanation:
Solve for m.
m+15<−123
Responses
m>−11315
m is greater than negative 1 and 13 over 15
m>−1715
m is greater than negative 1 and 7 over 15
m<−1715
m is less than negative 1 and 7 over 15
m<−11315
help
The solution to the value of m in the inequality m + 1/5 < - 1 2/3 is "m is less than negative 1 and 13 over 15".
The correct answer option is option D
How to solve inequality?Inequality is a statement that is of two quantities I'm which one is specifically less than (or greater than) another. The symbols of inequality are;
Greater than >Less than <Equal to =Greater than or equal toLess than or equal tom + 1/5 < - 1 2/3
substract 1/5 from both sides
m < -5/3 - 1/5
m < (-25-3) / 15
m < -28/15
Therefore, from the inequality m + 1/5 < - 1 2/3, m is less than negative 1 and 13 over 15.
Complete question:
m + 1/5 < -1 2/3
Responses
A. m > −1 13/15
m is greater than negative 1 and 13 over 15
B. m > −1 7/15
m is greater than negative 1 and 7 over 15
C. m < −1 7/15
m is less than negative 1 and 7 over 15
D. m < −1 13/15
m is less than negative 1 and 7 over 15
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Write three and seven eighths as an improper fraction and as a mixed number.
A 17/8, 3 7/8
B 31/8, 3 7/8
C 31/8, 7 3/8
D 59/8, 7 3/8
Evie just had her birthday. she got a $30 gift card for dunkin donuts and she can’t spend more than $30. the small coffees cost $2 and the large cost $4. she wants to buy at least 10 coffees. how many coffees can she buy using only her gift card?
Answer:
Step-by-step explanation:
30 dollars to spend she wants to buy at least ten which mean's since 2 times 5 is 10 and 4 times 5 is 20 and 10 plus 20 equals thirty which means she can buy 5 small coffee's and 5 large coffee's
Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function G (t) = 174 . 1.67^t where t is the number of years singe 2009 and G (t) is measured in millions of smartphones.
Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below.
The y-intercept indicates that 174 million smartphones were shipped to stores in 2009. This implies that after two years, in 2011, smartphone manufacturers shipped 500 million smartphones to stores worldwide.
Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially.
What is the exponential function?
The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
The growth from 2009 through 2015 can be modeled using the function G(t) = 174 * 1.67^t where t is the number of years since 2009 and G(t) is measured in millions of smartphones.
The required graph of the exponential function G(t) has been attached below
Now, finding the y-intercept
G(t) = 174· 1.67^t...(i)
Substitute the value of t = 0 in the above function,
G(t) = 174* 1.67⁰
G(t) = 174(1)
G(t) = 174
The meaning of the y-intercept is that 174 million smartphones are being shipped to stores in years 2009.
Substitute the value of G(t) =500 in the exponential function(i),
500 = 174 * 1.67^t
500/174 = 1.67^t
2.8735 = 1.67^t
In(2.8735 ) = t In (1.67)
t = In (2.8735 ) / In (1.67
t = 2.05827 ≈ 2
Hence, This means after 2 years i.e. in 2011, smartphone manufacturers were shipping 500 million smartphones to stores around the world.
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