Mathematics: There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup. Based on this, about how many grains of sand would there be in a 5-gallon container (note: 1 gallon = 16 cups). Write the result in scientific notation.

The function rule for the sequence is a(n)=6n-1....

There are about 3.5725 * 10^4 grains of sand in an

kieran1982

30.01.2022

3.5725 * 10^5

Step-by-step explanation:

Given

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.

Required

How many grains of sand would there be in a 5-gallon container?

Let x represent the number of grains in 5 gallon; So, From the question, we have that;

8 cups = 3.5725 * 10^4

5 gallon = x

Cross Multiply

x * 8 cups = 5 gallon * 3.5725 * 10^4

Recall that 1 gallon = 16 cups

$x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4$

x * 8 = 5 * 16 * 3.5725 * 10^4

Divide both sides by 8

$\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}$

$x = \frac{5 * 16 * 3.5725 * 10^4}{8}$

x = 5 * 2 * 3.5725 * 10^4

x = 10 * 3.5725 * 10^4

x = 3.5725 * 10^5

Hence, the number of grains of sand in 5 gallon is 3.5725 * 10^5

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