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Convert the following units to meters and pints, rounding to one decimal place: 540 mm, 38.5 km, 50 yards 3.5 gallons, 11.366 L
Mathematics
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Step-by-step solution
19 stepsHere are the conversions:
1. Convert to m:
- a) 540 mm
Use the conversion factor .
$$ 540 \text{ mm} \times \frac{1 \text{ m}}{1000 \text{ mm}} = 0.54 \text{ m} $$Round to one decimal place.
$$ \boxed{0.5 \text{ m}} $$- b) 38,5 km
Use the conversion factor .
$$ 38.5 \text{ km} \times \frac{1000 \text{ m}}{1 \text{ km}} = 38500 \text{ m} $$Round to one decimal place.
$$ \boxed{38500.0 \text{ m}} $$- c) 50 yards
Use the conversion factor .
$$ 50 \text{ yards} \times \frac{0.9144 \text{ m}}{1 \text{ yard}} = 45.72 \text{ m} $$Round to one decimal place.
$$ \boxed{45.7 \text{ m}} $$2. Convert to pints: (Assuming US liquid pints)
- a) 3,5 gallons
Use the conversion factor .
$$ 3.5 \text{ gallons} \times \frac{8 \text{ pints}}{1 \text{ gallon}} = 28 \text{ pints} $$Round to one decimal place.
$$ \boxed{28.0 \text{ pints}} $$- b) 11,366
Use the conversion factor .
$$ 11.366 \text{ L} \times \frac{2.11338 \text{ pints}}{1 \text{ L}} \approx 24.019 \text{ pints} $$Round to one decimal place.
$$ \boxed{24.0 \text{ pints}} $$- c) 1 m
Convert cubic meters to liters using .
$$ 1 \text{ m}^3 \times \frac{1000 \text{ L}}{1 \text{ m}^3} = 1000 \text{ L} $$Convert liters to pints using .
$$ 1000 \text{ L} \times \frac{2.11338 \text{ pints}}{1 \text{ L}} = 2113.38 \text{ pints} $$Round to one decimal place.
$$ \boxed{2113.4 \text{ pints}} $$3. Convert to kg:
- a) 9540 g
Use the conversion factor .
$$ 9540 \text{ g} \times \frac{1 \text{ kg}}{1000 \text{ g}} = 9.54 \text{ kg} $$Round to one decimal place.
$$ \boxed{9.5 \text{ kg}} $$- b) 7,5 pounds
Use the conversion factor .
$$ 7.5 \text{ pounds} \times \frac{0.453592 \text{ kg}}{1 \text{ pound}} \approx 3.40194 \text{ kg} $$Round to one decimal place.
$$ \boxed{3.4 \text{ kg}} $$- c) 5,6 ton (Assuming metric ton)
Use the conversion factor .
$$ 5.6 \text{ ton} \times \frac{1000 \text{ kg}}{1 \text{ ton}} = 5600 \text{ kg} $$Round to one decimal place.
$$ \boxed{5600.0 \text{ kg}} $$
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