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 = .

Respuesta :

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

Answer: ERA = 4.17

Step-by-step 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.