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Chapter 0: Problem 35

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$B=\frac{F}{S-V} \text { for } S$$

Short Answer

Expert verified
The formula \( S = \frac{F}{B} + V \) describes the value of \( S \) in terms of \( F \), \( B \) and \( V \).

Step by step solution

01

Isolate the Variable

First, start by isolating \( S \) on one side of the equation. This can be achieved by first multiplying both sides by \( S-V \) to get rid of the denominator. This results in the equation \( B(S - V) = F \).
02

Distribute B

Next, distribute \( B \) to \( S \) and \( -V \) separately, which results in \( BS - BV = F \).
03

Move terms across the equation

To solve the equation for \( S \), move \( BV \) to the right side of the equation. This can be done by adding \( BV \) to both sides of the equation, resulting in \( BS = F + BV \).
04

Final Simplification

Finally, divide both sides of the equation by \( B \) to fully isolate \( S \). This results in the final equation: \( S = \frac{F}{B} + V \).

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