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Aleksandr-060686 [28]
2 years ago
9

If an 8" X 8" square cake serves 8 people, how many 24" X 24" square cakes are needed for a

Mathematics
1 answer:
tigry1 [53]2 years ago
4 0

Answer:

2 24" X 24" square cakes are needed.

Step-by-step explanation:

This question is solved by proportions.

Area of a square:

The area of a square of side l is given by:

A = l^2

8" X 8" square cake serves 8 people

Thus:

A = 8*8 = 64

Area of 64 serves 8 people, so for 1 people, an area of 64/8 = 8 is needed.

144 people

The total area needed is:

A = 144*8 = 1152

How many 24" X 24" square cakes?

24*24 = 576

1 cake - 576

x cakes - 1152

Applying cross multiplication:

1152/576 = 2

2 24" X 24" square cakes are needed.

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Help please and thanks! I'll award brainliest if you show your work as well :)
iren2701 [21]

Answer:

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Step-by-step explanation:

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Plug in values and solve for the radius:

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Divide both sides by 2\pi

90=r^{2} +r(9)

Subtract 90 from both sides

0=r^{2} +9r-90

Use the quadratic equation to find the roots

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x=\frac{(-9+21)}{2}                   and          x=\frac{(-9-21)}{2}

x=\frac{12}{2}                           and          x=\frac{-30}{2}

x=6                             and          x=-15  

We can't have a negative radius, so that leaves us with r=6 in.

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2 years ago
Felix's washing machine uses 6 gallons of water. How much water does it use in liters? A gallon is approximately 3.79 liters. Ro
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Step-by-step explanation:

GIven data

Felix's washing machine uses 6 gallons of water

we are told that  A gallon is approximately 3.79 liters

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