The zone where the pitcher tries to throw her pitches

Asked by wiki @ in Mathematics viewed by 208 People

Diana is practicing her pitching. She rotates pitching from the mound with the other pitchers on the team. Diana throws 20 pitches each time she rotates to the mound. Her coach said she must throw more than 400 pitches in the strike zone during today’s practice. How many rotations must Diana take if a total of 20 of her pitches miss the strike zone?

Someone Please help!

Answered by wiki @

Answer:

Diana must take 22 rotations to throw at least 400 strikes

Step-by-step explanation:

Diana needs to throw more than 400 pitches in the strike zone and each time she rotates to the mound, she throws 20 pitches. We know she misses a total of 20 pitches on that practice. She still needs to throw more than 400 strikes, so the total pitches she needs is at least 401+20=421. Recall she needs to throw more than 400 strikes.

In rotations of 20 pitches she will need 421/20=21.05 rotations, but we need to round up. Thus the answer is

Diana must take 22 rotations to throw at least 400 strikes

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