Questions: BASEBALL. The formula a=h/b can be used to find the batting average a of a batter who has h hits in b times at bat. a. Solve the formula for b.

BASEBALL. The formula a=h/b can be used to find the batting average a of a batter who has h hits in b times at bat. a. Solve the formula for b.
Transcript text: BASEBALL. The formula $a=\frac{h}{b}$ can be used to find the batting average $a$ of a batter who has $h$ hits in $b$ times at bat. a. Solve the formula for $b$.
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Solution

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Solution Steps

To solve the formula \( a = \frac{h}{b} \) for \( b \), we need to isolate \( b \) on one side of the equation. This can be done by multiplying both sides of the equation by \( b \) and then dividing both sides by \( a \).

Step 1: Start with the Given Formula

We begin with the formula for the batting average: \[ a = \frac{h}{b} \]

Step 2: Multiply Both Sides by \( b \)

To eliminate the fraction, multiply both sides of the equation by \( b \): \[ a \cdot b = h \]

Step 3: Solve for \( b \)

To isolate \( b \), divide both sides by \( a \): \[ b = \frac{h}{a} \]

Final Answer

\(\boxed{b = \frac{h}{a}}\)

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