QQuestionMathematics
QuestionMathematics
Use the conversion factor 8km/h= 5mph to convert 96km/h to mph.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the given information
- Initial speed: $$96 \text{ km/h}
- Conversion factor: 8 \text{ km/h} = 5 \text{ mph}
Step 3:: Set up the conversion proportion
\frac{8 \text{ km/h}}{5 \text{ mph}} = \frac{96 \text{ km/h}}{x \text{ mph}}
We'll use the given conversion factor to create a proportion:
Step 4:: Cross multiply
8x = 96 \cdot 5
Step 5:: Solve for x
x = 60
x = \frac{480}{8}
Final Answer
Verification: - Original conversion factor: 8 \text{ km/h} = 5 \text{ mph} - Our calculation shows 96 \text{ km/h} = 60 \text{ mph} - This is consistent with the original ratio (multiplied by 12)
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