Pregunta
- 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.
innings than his
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
Responder
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
Como
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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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