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sergij07 [2.7K]
2 years ago
15

A baseball player gives up 6 earned runs in 18 innings . If he continues at this rate how many earned runs will he give up in 81

innings?​
Mathematics
1 answer:
Mariana [72]2 years ago
3 0

Answer:

27 earned runs

Step-by-step explanation:

Given

Rate: 6 runs in 18 innings.

Required

Determine the number of runs in 81 innings

First, we need to calculate the rate.

Rate = \frac{Runs}{Innings}

Rate = \frac{6}{18}

Rate = \frac{1}{3}

Represent the number of runs in 81 innings as x.

The rate of x runs in 81 innings is;

Rate = \frac{x}{81}

Equate both rates

\frac{1}{3} = \frac{x}{81}

Make x the subject

x = \frac{1}{3} * 81

x = \frac{81}{3}

x = 27

<em>Hence, he will give up 27 earned runs</em>

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Ishaan is 222 times as old as Christopher. 353535 years ago, Ishaan was 777 times as old as Christopher.
klemol [59]
<h3><u>Question:</u></h3>

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Christoper now?

<h3><u>Answer:</u></h3>

The present age of Christoper is 42 years old

<h3><u>Solution:</u></h3>

Given that Ishaan is 2 times as old as Christoper

Let the present age of Christoper be "x"

Then, Present age of Ishaan = 2 times as old as Christoper

present age of Ishaan = 2x

<em><u>35 years ago, Ishaan was 7 times as old as Christopher</u></em>

Age of Ishaan 35 years ago = Present age of Ishaan - 35

Age of Ishaan 35 years ago = 2x - 35

Similarly,

Age of christoper 35 years ago = Present age of christoper - 35

Age of christoper 35 years ago = x - 35

From given statement, 35 years ago, Ishaan was 7 times as old as Christopher

Age of Ishaan 35 years ago = 7 times the age of Christoper 35 years ago

(2x - 35) = 7(x - 35)

<em><u>Solve the above equation for "x"</u></em>

2x - 35 = 7x - 245

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-5x = -210

<h3>x = 42</h3>

Thus present age of Christoper is 42 years old

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