Question

The formula a=s + 2d + 3t + 4h / b determines a baseball batter’s slugging average, a, given the batter’s number of singles, s, doubles, d, triples, t, homeruns, h, and at bats, b. What is the best way to start solving the equation for h?

Answer 1

Multiply each side by b.
Enter your answer below.

a = s + 2d + 3t + 4h / b

___ = s + 2d + 3t + 4h

Answer 2

To solve the formula \( a = \frac{s + 2d + 3t + 4h}{b} \) for \( h \), you can follow these steps:

1. **Start by isolating the fraction**: Multiply both sides by \( b \) to eliminate the fraction. This gives you:

\[
a \cdot b = s + 2d + 3t + 4h
\]

2. **Rearrange the equation**: Next, isolate the term containing \( h \):

\[
4h = ab - s - 2d - 3t
\]

3. **Solve for \( h \)**: Finally, divide by 4:

\[
h = \frac{ab - s - 2d - 3t}{4}
\]

Now you have \( h \) expressed in terms of \( a \), \( b \), \( s \), \( d \), and \( t \).

Answer 3

To multiply both sides of the equation by \( b \), we can write:

\[
a \cdot b = s + 2d + 3t + 4h
\]

So the complete equation becomes:

\[
ab = s + 2d + 3t + 4h
\]