Given:
set-up fee 5,500
variable fee 1 per CD.

Cost per CD is $5.50

5.50 - 1= 4.50

5,500 / 4.50 = 1,222 CDs Choice A.

1*1,222 = 1,222
1,222 + 5,500 = 6,722
6,722/1,222 = 5.50

6 0

4 years ago

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Simplify 12^3 ÷ 12^7

dangina [55]

12^3 / 12^7 = 12^3-7
= 12^-4

8 0

4 years ago

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the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer l

Artyom0805 [142]

Answer:

Short leg = 24inches

Long leg = 32inches

Hypotenuse = 40inches

Step-by-step explanation:

Given:

shorter leg is 8inches shorter than the longer leg
hypotenuse is 8inches longer than the longer leg
longer leg = x inches

<u>Pythagorean Theorem:</u>

a²+b²=c² → (x-8)²+ x² = (x+8)²

Solving for both sides:

x² - 16x+ 64 + x² = x²+ 16x + 64

<u>More Painful Solving:</u>

x² - 32x = 0

x(x-32) = 0

x=0 or 32

Can't use the 0 so we trash it!

x=32

add 8 to get the hypotenuse and subtract 8 to get the short leg

8 0

3 years ago

Alex has a block of wood that is in the shape of a prism with the dimensions shown. He cuts a 10-cm square hole through the cent

eimsori [14]

Answer:

Step-by-step explanation:

I think your question is missing key information and the one below is similar to yours. Hope it will find you well:

"Alex has a block of wood that is in the shape of a rectangular prism dimensions 70 cm by 50 cm by 30 cm. He cuts a 10-cm square hole through the center of the prism. What is the volume of the remaining solid?

Here is my answer:

The volume of the rectangular prism: 70∗50∗30=105000 $cm^{3}$

The volume in the center (intersection of “square holes”): 10∗10∗10=1000 $cm^{3}$

=> the volume of the remaining solid = The volume of the rectangular prism - The volume in the center = 105000 - 1000 = 104000 $cm^{3}$

8 0

3 years ago

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