200k views
4 votes
To find a baseball pitcher's earned run average (ERA), you can use the formula Ei = 9r, in which E represents ERA, i represents the number of innings pitched, and r represents the number of earned runs allowed. Solve the equation for E. What is a pitcher's ERA if he allows 25 earned runs in 54 innings pitched? If necessary, round your answer to the nearest hundredth. The equation for E is E = . If a pitcher allows 25 earned runs in 54 innings, then the ERA = .

User PLAYCUBE
by
8.9k points

2 Answers

4 votes
Ei=9r
E(54)=9(25)
E(54)=225
divide 54 from both sides
E=4.1666
the six repeats, but rounds up to 4.167, or 4.17
5 votes

Answer: ERA = 4.17

Explanation:

1. First, you need to identify the data you get from the sentence.

Earned runs: 25 (r)

Innings pitched: 54 (i)

Earned runs average: ? (ERA/E)

2. Replace your data in the formula.

Ei = 9r

E(54) = 9(25)

3. Solve the operations.

E(54) = 225

4. Now we use the transposing method to find E (ERA). 54 is

multiplying E, so it's going to move to the other side of the

equation dividing like this.

E(54) = 225 ⇒ E = 225/54

5. Calculate the result for E.

E = 4.1666666667

6. Finally, we round our answer.

E = 4.17

So, the earned runs average (ERA) is 4.17.

User ErikAGriffin
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories