Question

the equation $d = \frac{m}{v}$ can be used to calculate the density, $d$, of an object with mass, $m$, and volume, $v$. which is an equivalent equation solved for $v$?
$m - d = v$
$\frac{d}{m} = v$
$\frac{m}{d} = v$
$dm = v$

Explanation:

Step1: Start with the given equation

We have the density formula \( d = \frac{m}{V} \).

Step2: Solve for \( V \)

To isolate \( V \), we can multiply both sides of the equation by \( V \) first: \( d \times V = \frac{m}{V} \times V \), which simplifies to \( dV = m \). Then, divide both sides by \( d \): \( \frac{dV}{d} = \frac{m}{d} \), so \( V = \frac{m}{d} \).

Answer:

\(\frac{m}{d}=V\) (the third option among the given ones)