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KIM [24]
3 years ago
5

You can by 20 fluid ounces of shampoo for $4.40 at Wal Mart or 24 fluid ounces for $4.80 at Smith's. Which is the better buy?

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

Smith's

Step-by-step explanation:

Walmart

4.40÷20=0.22

0.22 per ounce

Smith's

4.80÷24=0.2

0.20 per ounce

Smith's is cheaper

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Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water (Q), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

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Q = 32160\,ft^{3}

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

Q = \frac{\pi}{4}\cdot D^{2}\cdot h (2)

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h - Height, measured in feet.

If we know that Q = 32160\,ft^{3} and h = 12\,ft, then the minimum diameter is:

D^{2} = \frac{4\cdot Q}{\pi\cdot h}

D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }

D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }

D \approx 58.415\,ft

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