Question

The equation d = d equals StartFraction m Over V EndFraction. can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?

dm = V
StartFraction d Over m EndFraction equals V. = V
StartFraction m Over d EndFraction equals V. = V
m – d = V

Answer 1

To solve the equation \( d = \frac{m}{V} \) for \( V \), you can rearrange it as follows:

1. Start with the original equation:
\[
d = \frac{m}{V}
\]

2. Multiply both sides by \( V \) to eliminate the fraction:
\[
dV = m
\]

3. Now, divide both sides by \( d \) to isolate \( V \):
\[
V = \frac{m}{d}
\]

So, the equivalent equation solved for \( V \) is:
\[
V = \frac{m}{d}
\]

From the options you provided, the correct choice is:
\[
\text{StartFraction m Over d EndFraction equals V.} = V
\]