Pregunta
\( \mid<\quad \) Solve for \( x \). Don't forget to perform a check. \( \frac{5}{11} x=30 \)
Ask by Valdez Mills. in the United States
Feb 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( x = 66 \)
Solución
We start with the equation:
(5/11) * x = 30
Step 1: Multiply both sides of the equation by 11 to eliminate the fraction:
5 * x = 30 * 11
5x = 330
Step 2: Divide both sides by 5 to solve for x:
x = 330 / 5
x = 66
Check:
Substitute x = 66 back into the original equation:
(5/11) * 66 = (5 * 66) / 11 = 330 / 11 = 30
Since both sides equal 30, the solution is correct.
Final Answer: x = 66
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Bonus Knowledge
To solve for \( x \), you can start by isolating \( x \) in the equation. Multiply both sides by the reciprocal of \( \frac{5}{11} \), which is \( \frac{11}{5} \): \[ x = 30 \cdot \frac{11}{5} \] Calculating that gives: \[ x = \frac{330}{5} = 66 \] Now, to check your solution, substitute \( x \) back into the original equation: \[ \frac{5}{11} \cdot 66 = \frac{330}{11} = 30 \] Since both sides are equal, \( x = 66 \) is indeed the correct solution!
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