Pregunta
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  1. After pitching innings in his latest game, Barron has pitched more
    innings than his innings pitched tast season. How many innings, ,
    might he have pitched before his latest game? Write an inequality to
    represent the situation. Solve your inequality.

Ask by Norris Wang. in the United States
Jan 22,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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The inequality is . Solving this gives innings pitched before the latest game.

Solución

Let’s break down the problem step by step.

Understanding the Problem

  • Latest Game: Barron pitched innings.
  • Total After Latest Game: This total should exceed his previous season’s innings of innings.
  • Goal: Find the number of innings, , Barron might have pitched before his latest game.

Simplifying Mixed Numbers

First, simplify the mixed numbers to improper fractions or decimal form for easier calculation:
  • innings
  • innings

Setting Up the Inequality

Let represent the number of innings pitched before the latest game. After pitching 7 innings in the latest game, his total innings become:
According to the problem, this total is more than innings:

Solving the Inequality

Subtract 7 from both sides to isolate :

Conclusion

Barron must have pitched more than innings before his latest game.

Final Answer

An inequality is x + 7 > 82 1⁄3. Solving gives x > 75 1⁄3 innings pitched before the latest game.

Respondido por UpStudy AI y revisado por un tutor profesional

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The Deep Dive

Barron has pitched innings in his latest game, which simplifies to innings. The total innings he has pitched can be represented as . Converting to an improper fraction gives us . This leads to the inequality: .
To solve for , we subtract from both sides. This gives us , which simplifies to . Therefore, Barron must have pitched more than innings before today’s game.
So the final inequality is .
Now go pitch those innings, Barron!

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