Question

Javier used the equivalent ratios to find the number of millimeters in 8 inches.

StartFraction 8 inches Over question mark millimeters EndFraction = StartFraction 40 inches Over 1,016 millimeters EndFraction

How many millimeters are in 8 inches?
127 mm
163.2 mm
167 mm
203.2 mm

Answer 1

To find the number of millimeters in 8 inches using the given equivalent ratios, you can set up a proportion based on the information:

\[
\frac{8 \text{ inches}}{x \text{ mm}} = \frac{40 \text{ inches}}{1016 \text{ mm}}
\]

Now, cross-multiply to solve for \(x\):

\[
8 \text{ inches} \times 1016 \text{ mm} = 40 \text{ inches} \times x \text{ mm}
\]

This simplifies to:

\[
8128 = 40x
\]

Now, divide both sides by 40 to isolate \(x\):

\[
x = \frac{8128}{40} = 203.2
\]

Thus, there are **203.2 mm** in 8 inches.

So the correct answer is **203.2 mm**.