QUESTION IMAGE
Question
in game 1, emerson struck out 30 times in 90 times at bat. in game 2, he struck out 40 times in 120 times at bat. in game 3, emerson struck out 42 times in 140 times at bat.
part a
drag numbers to complete the proportion to represent the percent of strike outs per at - bats.
numbers may be used once or not at all
350
112
=
238
100
×
350
part b
what percentage of times at bat did emerson actually hit the ball?
%
Step1: Calculate total at - bats and strike - outs
Total at - bats \(=90 + 120+140=350\). Total strike - outs \(=30 + 40+42 = 112\).
Step2: Set up proportion for percentage
The formula for percentage is \(\frac{\text{strike - outs}}{\text{total at - bats}}=\frac{x}{100}\). Substituting values, we get \(\frac{112}{350}=\frac{x}{100}\).
Step3: Solve for \(x\) (percentage of strike - outs)
Cross - multiply: \(112\times100 = 350x\). Then \(x=\frac{112\times100}{350}\). Simplify: \(x = 32\).
Step4: Calculate percentage of hits
Percentage of hits \(=100 - 32=68\).
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