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rosijanka [135]
3 years ago
15

Gasoline at a particular gas station costs $2.78 per gallon. If Cory buys $18 of gas, how many gallons did he buy?

Mathematics
1 answer:
Anon25 [30]3 years ago
3 0

Answer:

Cory bought 6.474 gallons of gasolline.

Step-by-step explanation:

The total cost of gasoline (C), measured in dollars, is given by the following expression:

C = n\cdot c

Where:

n - Amount of gasoline, measured in gallons.

c - Unit cost, measured in dollars per gallon.

Given that C = \$\,18 and c = \$\,2.78\,\frac{1}{gal}, the amount of gasoline is cleared and calculated:

n = \frac{C}{c}

n = \frac{\$\,18}{\$\,2.78\,\frac{1}{gal} }

n = 6.474\,gal

Cory bought 6.474 gallons of gasolline.

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4x^{5}

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It could also be x^{2}\sqrt{x} depending on how the problem is actually set up.

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A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t
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Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot (n-k)!}

Compute the number of ways to select 37 people from 101 as follows:

{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}

        =\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

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$1170

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