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The equation [tex]d=\frac{m}{V}[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. Which is an equivalent equation solved for [tex]V[/tex]?

A. [tex]dm = V[/tex]
B. [tex]\frac{d}{m} = V[/tex]
C. [tex]\frac{m}{d} = V[/tex]
D. [tex]m - d = V[/tex]

Sagot :

GinnyAnsweridn
To find an equivalent equation solved for [tex]\( V \)[/tex], let's start with the given equation:
[tex]\[ d = \frac{m}{V} \][/tex]

Our goal is to isolate [tex]\( V \)[/tex] on one side of the equation. Here are the detailed steps to do that:

1. Step 1: Eliminate the denominator
Multiply both sides of the equation by [tex]\( V \)[/tex] to get rid of the denominator:
[tex]\[ d \cdot V = m \][/tex]

2. Step 2: Isolate [tex]\( V \)[/tex]
Now, to isolate [tex]\( V \)[/tex], divide both sides of the equation by [tex]\( d \)[/tex]:
[tex]\[ V = \frac{m}{d} \][/tex]

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

So, from the given options, the correct choice is:
[tex]\[ \boxed{\frac{m}{d}=V} \][/tex]
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