A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.

SCREENSHOT OF GRAPH! HELP

A Shorter Style Of Cup Is Stacked Tall. The Graph Displays The Height Of The Stack In Centimeters For

Answers

Answer 1

Answer:

0.5 cm

Step-by-step explanation:

We are looking for how much height is gained per cup added.

Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).

Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5.5) = (x_1, y_1) [/tex]

[tex] (8, 8) = (x_2, y_2) [/tex]

[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]

[tex] m = \frac{2.5}{5} [/tex]

[tex] m = 0.5 [/tex]

0.5 cm is gained per cup added.

Answer 2

The rise in height per cup will be 0.5 cm.

Given information:

The given graph displays the height of the stack in centimeters for different numbers of cups.

The given points on the graph are (3,5.5) and (8,8).

Now, the slope of the line joining these two-point will give the rise per cup.

So, the slope will be calculated as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]

So, the slope is 0.5 centimeters per cup.

Therefore, the rise in height per cup will be 0.5 cm.

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Related Questions

Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?

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Answer:

I would say your answer is (D

The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.

Answers

Answer:

Inequality 1) y≤110−x; shade down

Inequality 2) y≥80− -2/3x; shade up

Possible solution: (40,60)​

*The drama club could sell 40 student tickets and 60 adult tickets.

Step-by-step explanation:

Hope I helped ;)

Solution is image 1.

One possible solution is = (0, 100).

Given that:

x represents the number of student  tickets sold and

y represents the number of adult tickets sold.

According to the question:

[tex]x+y\le110\\7x+10.50y\ge840[/tex]

Using a graphing calculator the graph is: image 1.

One possible solution is = (0, 100).

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Need help with the equations thank you

Answers

Step-by-step explanation:

#1

Equation 1 = 2-6 over 1-3

#2

Equation 1 = 1-4 over 2+3 Because instead of subtracting a negative you can write adding cause the double negative makes a positive

Write a sentence as an equation using the given information in each problem.

1. Write the sentence as an equation.
the product of 371 and ​d​ is the same as 52

2. Write the sentence as an equation. n​ decreased by 320 is equal to 139

3. Write the sentence as an equation. 317 is equal to ​k​ plus 110

4. Write the sentence as an equation.
the total of 374 and ​k​ is the same as 305

5. Write the sentence as an equation. 398 is the same as ​d​ plus 6

Answers

Answer:

1. 371 × d = 52

2. n - 320 = 139

3. 317 = k + 110

4. 374 + k = 305

5. 398 = d + 6

Step-by-step explanation:

1. 371 × d = 52

d = 52/371

d = 0.14016172506

2. n - 320 = 139

n = 139 + 320

n= 459

3. 317 = k + 110

k = 317 - 110

k = 207

4. 374 + k = 305

k = 305 - 374

k = -69

5. 398 = d + 6

d = 398 - 6

d = 392

Find the measure of x that would make m∥n.

Answers

Answer:

to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees

HELP!! What is the value of B in terms of pie?

Answers

Answer:48

Step-by-step explanation:

Answer:

48

Explanation, cone with it's height to the value.

In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.

Answers

Given:

Total score = 24 points

They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.

To find:

The system of equations for the given problem.

Solution:

Let x be the number of touchdowns.

y be the number of field goals.

z be the number of "extra points."

Total score is 24 points. So,

[tex]x+y+z=24[/tex]

They made 2 more touchdowns than field goals.

[tex]x=y+2[/tex]

They made 3 times as many "extra points" as field goals.

[tex]z=3y[/tex]

Therefore, the required system of equation is

[tex]x+y+z=24[/tex]

[tex]x=y+2[/tex]

[tex]z=3y[/tex]

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Help with what? If there was an image I can’t see it

I don’t understand please help me

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Answer:

Easy! Answer my question and I'll answer urs! Mine is simple tho. Go on my account and if you answer it I'll send you my reponse to the question. I've wrriten the steps and taken the picture on a paper so pls hurry.

A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?

Answers

Answer:

The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3

Step-by-step explanation:

The given information are;

The vertices of ΔPQR are;

P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)

Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For side PQ, we have;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)

Given that the points have equal y-values, the length is the difference of their x-values as follows;

[tex]l_{PQ}[/tex] = 6 - 3 = 3

Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;

[tex]l_{QR}[/tex] = -3 - (-6) = 3

Length PR is given as follows;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)

[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]

[tex]l_{PR}[/tex] = 3·√2

For P'Q', we have

P'(-2, 2), Q'(-2, 1)

[tex]l_{P'Q'}[/tex] = 2 - 1 = 1

[tex]l_{P'Q'}[/tex] = 1

For Q'R', we have

Q'(-2, 1), R'(-1, 1)

[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1

[tex]l_{Q'R'}[/tex] = 1

For P'R', we have;

P'(-2, 2), R'(-1, 1)

[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]

[tex]l_{P'R'}[/tex] = √2

Therefore, given that we have

PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3

The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.

PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)

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Answer:

Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.

write a situation to represent the equation y=0.5x

Answers

Answer:

John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?

Pretty simple, hopefully it is good enough, hope this helps!

A line's equation is a unified representation of all of the line's points.

Find the equation of the line pass though origin and slope 1/2 ?

What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general form, which is of the form ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

To learn more about : Equation of a line.

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Simplify this expression: ½k² + g - 3 + ½k² - 3 + 2g

Answers

Answer: k 2 + 3 g − 6

hope this helps

45 + 15(n − 1) for n = 6

Answers

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Plug in what you know so: 45+15(6-1)

So, following the order of operations, you do the parentheses first so: 45+15(5)

Then, still following the order of operations, you'd multiply from left to right. So: 45+75

Then, you add from left to right, so you get 45+75=120

Your answer is 120.

What is the equation of the line that passes through the points (-4, 2) and (12,6)?

Answers

Answer:

y=0.25x+3

Step-by-step explanation:

HELPPP!!!
Question 6 of 10
Which of the following ratios are equivalent to 25%?
Check all that apply.
A. 6:18
B. 5:20
C. 4:20
D. 3:12
E. 8:24

Answers

Answer:

5:20 3:12

Step-by-step explanation:

The first number is 1/4 the size of the second number, hence thise being correct.

Find the gradient of the line segment between the points (10,-4) and (6,-16).

Answers

Answer:

The answer is 3

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(10,-4) and (6,-16)

We have

[tex]m = \frac{ - 16 - - 4}{6 - 10} = \frac{ - 16 + 4}{ - 4} = \frac{12}{4} = 3 \\ [/tex]

We have the final answer as

3

Hope this helps you




£78 is split equally between 5 people how many will each person get

Answers

Answer:

15,6....................

Answer:

£15.6

Step-by-step explanation:

78/5=15.6

Which of the following is equivalent to 6-3?

A
-1/216
B
216
C
-216
D
1/216

Answers

Answer: Im not sure if this is correct I just need points. B

Step-by-step explanation:

Option D is correct,  1/216 is the equivalent expression of 6⁻³ .

The given expression is 6⁻³.

Six to the power of minus three.

We have to find the equivalent expression.

Equivalent expression are expressions whose value is same but looks different.

6⁻³ can be written as 1/6³.

1/6×6×6

1/216.

Hence, 1/216 is the equivalent expression of 6⁻³ .

To learn more on Expressions click:

https://brainly.com/question/14083225

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I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute

Answers

The first triangle: x=25 and is a Acute angle

The second triangle: x=30 and is a right triangle

Sam is seven times as old as Tim.If Sam is 42 how old is Tim?

Answers

Answer:6 because 42/7=6

Step-by-step explanation:

What is the slope line through (0,4) and (3,2)?

Answers

Answer:

The answer is -2/Trust

Step-by-step explanation:

Answer:

Its D 100%

Step-by-step explanation:

Find the range of this function

Answers

{1,3, 4,5, 3,4 and 5,6} but I’m not sure.

Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8

Answers

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

solve for y on both i will give brainlizest thankssss & HURRY

2y+7x=4

6x=7-4y

Answers

Answer:

1- Y=-7/2x+2.

2. Y=-6/4+7

Step-by-step explanation:

Subtract 7x from both sides

Divide both sides by two

Add 4y to both sides

Subtract 6x from both sides

Divide by 4 on both sides

Mariah and Jakob have $35 to spend at the fair. Jakob takes a ride that costs $13 then takes another ride that costs more than the last ride. Mariah spends $10 on 3 cake pops. Then spends five more dollars on the photo booth with Jakob, only Mariah spends her money on the photo booth. How much does the other ride cost for Jakob. How much money does Mariah spend on the photo booth?

Answers

Answer:

The cost of the other ride Jacob took = $22

The amount Mariah spends on the photo boot with Jacob = $5

Step-by-step explanation:

The given information are;

Whereby the question states that amount Mariah and Jacob each have to spend = $35

The amount Jacob spends on the first ride = $13

The amount Mariah spends on the 3 cup cakes = $10

The amount Mariah spends on the photo boot with Jacob = $5

Let the cost of the other ride Jacob took = R

Given that Jakob spent all his available money at the fair, we have;

35 = 13 + R

R = 35 - 13

R = $22

Therefore, the cost of the other ride Jacob took = R = $22

The amount Mariah spends on the photo boot with Jacob = $5.

Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?

Answers

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

[tex]\frac{5-2}{7- (-4)}[/tex]  =   [tex]\frac{3}{11}[/tex]

PLEASE HELP !!!!!!!!!!!! ASAP
If set A = {3,4,7,9) and set B = [8, 9, 10, 11), then AUB is​

Answers

Step-by-step explanation:

AuB={3,4,7,9}U{8,9,10,11}

PLEASE help me with this! (50+ Points)
The given table of values represents a linear equation. What is the slope?

Answers

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

Answer:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?

Answers

Answer:

0 n=11

Step-by-step explanation:

1. Distribute

+1=4(−8)

2. Subtract 1 from both sides of the equation

+1=4−32

+1−1=4−32−1

3. Simplify

=4n−33

4. Subtract 4 from both sides of the equation

=4−33

−4=4−33−4

5. Simplify

−3=−33

6. Divide both sides of the equation by the same term

−3=−33

-3n/-3=-33/-3

7. Simplify

=11

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