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Convert 16.1 km to miles using the follo...

Convert 16.1 km to miles using the following units equivalents:
1 km = 1000 m, 1 ft = 12 inches, 1 m = 100 cm, 1 mile = 1760 yd, 1 inch = 2.54 cm, 1 yd = 3 ft

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The correct Answer is:
To convert 16.1 km to miles using the given unit equivalents, we will follow a step-by-step approach. ### Step-by-Step Solution: 1. **Start with the given distance**: \[ 16.1 \text{ km} \] 2. **Convert kilometers to meters**: Using the conversion factor \(1 \text{ km} = 1000 \text{ m}\): \[ 16.1 \text{ km} \times \frac{1000 \text{ m}}{1 \text{ km}} = 16100 \text{ m} \] 3. **Convert meters to centimeters**: Using the conversion factor \(1 \text{ m} = 100 \text{ cm}\): \[ 16100 \text{ m} \times \frac{100 \text{ cm}}{1 \text{ m}} = 1610000 \text{ cm} \] 4. **Convert centimeters to inches**: Using the conversion factor \(1 \text{ inch} = 2.54 \text{ cm}\): \[ 1610000 \text{ cm} \times \frac{1 \text{ inch}}{2.54 \text{ cm}} \approx 634251.9685 \text{ inches} \] 5. **Convert inches to feet**: Using the conversion factor \(1 \text{ ft} = 12 \text{ inches}\): \[ 634251.9685 \text{ inches} \times \frac{1 \text{ ft}}{12 \text{ inches}} \approx 52854.3307 \text{ ft} \] 6. **Convert feet to yards**: Using the conversion factor \(1 \text{ yd} = 3 \text{ ft}\): \[ 52854.3307 \text{ ft} \times \frac{1 \text{ yd}}{3 \text{ ft}} \approx 17618.1102 \text{ yd} \] 7. **Convert yards to miles**: Using the conversion factor \(1 \text{ mile} = 1760 \text{ yd}\): \[ 17618.1102 \text{ yd} \times \frac{1 \text{ mile}}{1760 \text{ yd}} \approx 10.0 \text{ miles} \] ### Final Answer: Thus, \(16.1 \text{ km} \approx 10.0 \text{ miles}\).

To convert 16.1 km to miles using the given unit equivalents, we will follow a step-by-step approach. ### Step-by-Step Solution: 1. **Start with the given distance**: \[ 16.1 \text{ km} \] ...
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