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

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.

Answer:

y=0.25x+3

Step-by-step explanation:

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.

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

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).

Learn more: https://brainly.com/question/15816805

Answer:

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

Answer:

£15.6

Step-by-step explanation:

78/5=15.6

Answer:

I would say your answer is (D

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

Answer:

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

Hope this helps you

Answer:

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

Step-by-step explanation:

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

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.

Answer:48

Step-by-step explanation:

Answer:

48

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

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.

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.

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

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.

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

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

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]

Step-by-step explanation:

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

Answer:

The answer is -2/Trust

Step-by-step explanation:

Answer:

Its D 100%

Step-by-step explanation:

Answer:6 because 42/7=6

Step-by-step explanation:

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

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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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 ?

To learn more about : Equation of a line.

Ref : https://brainly.com/question/13763238

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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.

Answer: k 2 + 3 g − 6

hope this helps