Math

QuestionInches to mils ratio: Inches25 mils=Inches12.5 miles\frac{\text{Inches}}{25 \text{ mils}} = \frac{\text{Inches}}{12.5 \text{ miles}}

Studdy Solution

STEP 1

Assumptions1. We are given a proportionality equation that equates the ratio of inches to25 mils with the ratio of inches to12.5 miles. . We need to find the value of inches in both cases. 3.1 mile =63360 inches4.1 mil =0.001 inch

STEP 2

First, we need to convert12.5 miles and25 mils to inches using the conversion factors.
12.5miles=12.5×63360inches12.5\, miles =12.5 \times63360\, inches25mils=25×0.001inches25\, mils =25 \times0.001\, inches

STEP 3

Now, plug in the values to calculate the inches.
12.5miles=12.5×63360inches=792000inches12.5\, miles =12.5 \times63360\, inches =792000\, inches25mils=25×0.001inches=0.025inches25\, mils =25 \times0.001\, inches =0.025\, inches

STEP 4

Now, we can substitute these values back into the original equation.
Inches0.025inches=Inches792000inches\frac{Inches}{0.025\, inches} = \frac{Inches}{792000\, inches}

STEP 5

To solve for Inches, we can cross multiply.
Inches×792000inches=Inches×0.025inchesInches \times792000\, inches = Inches \times0.025\, inches

STEP 6

This simplifies to792000Inches2=0.025Inches2792000\, Inches^2 =0.025\, Inches^2

STEP 7

Divide both sides by Inches to solve for Inches.
Inches=0.025Inches2792000InchesInches = \frac{0.025\, Inches^2}{792000\, Inches}

STEP 8

implify to find the value of Inches.
Inches=0.025792000=3.1565656565656566e8Inches = \frac{0.025}{792000} =3.1565656565656566e-8So, the value of Inches in both cases is approximately 3.16×1083.16 \times10^{-8}.

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