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Q
QuestionMathematics

32 km = x miles, correct to the nearest mile. Work out the value of x.
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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 conversion factor

1 \text{ mile} = 1.609 \text{ kilometers}
The problem requires converting kilometers to miles. We know that:

Step 3:
: Set up the conversion equation

x = \frac{32}{1.609}
To convert 32 kilometers to miles, we'll divide the total kilometers by the conversion factor:

Step 4:
: Perform the division

x = 19.88 \text{ miles}

Step 5:
: Round to the nearest mile

x = 20 \text{ miles}
Rounding 19.88 to the nearest mile gives:

Final Answer

Key points: - The conversion factor is 1 \text{ mile} = 1.609 \text{ kilometers} - Dividing 32 by 1.609 gives 19.88 - Rounding to the nearest mile results in 20 miles