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DedPeter [7]
3 years ago
15

3. Brenda's school is selling tickets to a spring musical. On the first day of

Mathematics
1 answer:
Natalija [7]3 years ago
4 0

Answer:

The Answer is that Senior Citizen Tickets cost: $4 and Child tickets cost: $7.

Step-by-step explanation:

Let s = the cost of senior citizen tickets

Let c = the cost of child tickets

The number of tickets sold for each type added together equals the sales for each day. Equations below:

Day 1

3s + 9c = $75

Solve for s:

3s = 75 - 9c

s = 25 - 3c

Day 2

8s + 5c = $67

By substitution:

8(25 - 3c) + 5c = 67

200 - 24c + 5c = 67

-19c = -133

c = -133 / -19 = $7 cost for child tickets.

Solve for s:

s = 25 - 3c

s = 25 - 3(7)

s = 25 - 21 = $4 cost for senior citizen tickets.

Proofs:

Day 1

3s + 9c = $75

3(4) + 9(7) = 75

12 + 63 = 75

75 = 75

Day 2

8s + 5c = $67

8(4) + 5(7) = 67

32 + 35 = 67

67 = 67

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You can try then by plotting the points in. 
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Make sure by plotting in the points, lets take (-5,27)
y = 12 -3(-5)
y = 12 + 15
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27 = 27
This is correct 

Lets try (-1,15)
y = 12 -3(-1)
y = 12 + 3 
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Lets try (8,-12)
y = 12 -3(8)
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This is correct too. 

The correct ordered pairs are <span>C(-5,27),(-1,15),(8,-12)</span>
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3 years ago
The slope of the line below is -3. Which of the following is the point-slope
Anna [14]

Given:

The slope of the line is -3.

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To find:

The point-slope form of the line.

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Answer:

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Answer:

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Step-by-step explanation:

Complete Question

A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?

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