Pregunta
Solve the following proportion for \( u \). \[ \frac{u}{9}=\frac{8}{17} \] Round your answer to the nearest tenth. \( u= \),
Ask by Lane Garza. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( u = 4.2 \)
Solución
To solve the proportion \(\frac{u}{9} = \frac{8}{17}\) for \( u \), follow these steps:
1. **Cross-Multiply:**
Multiply both sides of the equation by 9 and 17 to eliminate the fractions.
\[
u \times 17 = 8 \times 9
\]
2. **Simplify the Equation:**
Calculate the multiplication on the right side.
\[
17u = 72
\]
3. **Solve for \( u \):**
Divide both sides by 17 to isolate \( u \).
\[
u = \frac{72}{17} \approx 4.2353
\]
4. **Round to the Nearest Tenth:**
Rounding \( 4.2353 \) to the nearest tenth gives \( 4.2 \).
\[
u \approx 4.2
\]
**Final Answer:**
\( u = 4.2 \)
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Extra Insights
To solve the proportion \(\frac{u}{9}=\frac{8}{17}\), you can use cross-multiplication. This gives you: \[ u \cdot 17 = 8 \cdot 9 \] Calculating the right side: \[ u \cdot 17 = 72 \] Now, divide both sides by 17 to isolate \( u \): \[ u = \frac{72}{17} \] Calculating this gives: \[ u \approx 4.2353 \] Rounded to the nearest tenth, \( u \approx 4.2 \). So, \( u = 4.2 \).
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