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math

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Use digits to write seventeen billion and twenty-three ten thousadnths. Where is the zero in the hundredth's place?

And last one: 1/4 in. = 100 mi

1 1/4in = ? mi

May 22, 2017

#1
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17000000000.0023 is 17 billion and twenty-three ten thousandths written out.

$$1\frac{1}{4}in=500mi$$

Let's set up a proportion to solve:

$$\frac{\frac{1}{4}}{100}=\frac{1\frac{1}{4}}{x}$$  Cross multiply and solve

$$\frac{1}{4}x=100*1\frac{1}{4}$$  Convert mixed fraction to an improper one

$$\frac{1}{4}x=\frac{100}{1}*\frac{5}{4}$$  Simplify the right side of the equation

$$\frac{1}{4}x=\frac{500}{4}$$  Multiply both sides by 4 to get rid of the pesky fractions

$$x=500$$

Therefore, if 1/4in=100mi, then 1 1/4in=500mi!

May 22, 2017