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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 steps

Here are the conversions:

1. Convert to m:

  • a) 540 mm
  1. Use the conversion factor 1 m=1000 mm1 \text{ m} = 1000 \text{ mm}.

    $$
    540 \text{ mm} \times \frac{1 \text{ m}}{1000 \text{ mm}} = 0.54 \text{ m}
    $$
    
  2. Round to one decimal place.

    $$
    \boxed{0.5 \text{ m}}
    $$
    
    • b) 38,5 km
  3. Use the conversion factor 1 km=1000 m1 \text{ km} = 1000 \text{ m}.

    $$
    38.5 \text{ km} \times \frac{1000 \text{ m}}{1 \text{ km}} = 38500 \text{ m}
    $$
    
  4. Round to one decimal place.

    $$
    \boxed{38500.0 \text{ m}}
    $$
    
    • c) 50 yards
  5. Use the conversion factor 1 yard=0.9144 m1 \text{ yard} = 0.9144 \text{ m}.

    $$
    50 \text{ yards} \times \frac{0.9144 \text{ m}}{1 \text{ yard}} = 45.72 \text{ m}
    $$
    
  6. Round to one decimal place.

    $$
    \boxed{45.7 \text{ m}}
    $$
    

    2. Convert to pints: (Assuming US liquid pints)

    • a) 3,5 gallons
  7. Use the conversion factor 1 gallon=8 pints1 \text{ gallon} = 8 \text{ pints}.

    $$
    3.5 \text{ gallons} \times \frac{8 \text{ pints}}{1 \text{ gallon}} = 28 \text{ pints}
    $$
    
  8. Round to one decimal place.

    $$
    \boxed{28.0 \text{ pints}}
    $$
    
    • b) 11,366 ℓ\ell
  9. Use the conversion factor 1 L≈2.11338 pints1 \text{ L} \approx 2.11338 \text{ pints}.

    $$
    11.366 \text{ L} \times \frac{2.11338 \text{ pints}}{1 \text{ L}} \approx 24.019 \text{ pints}
    $$
    
  10. Round to one decimal place.

    $$
    \boxed{24.0 \text{ pints}}
    $$
    
    • c) 1 m3^3
  11. Convert cubic meters to liters using 1 m3=1000 L1 \text{ m}^3 = 1000 \text{ L}.

    $$
    1 \text{ m}^3 \times \frac{1000 \text{ L}}{1 \text{ m}^3} = 1000 \text{ L}
    $$
    
  12. Convert liters to pints using 1 L≈2.11338 pints1 \text{ L} \approx 2.11338 \text{ pints}.

    $$
    1000 \text{ L} \times \frac{2.11338 \text{ pints}}{1 \text{ L}} = 2113.38 \text{ pints}
    $$
    
  13. Round to one decimal place.

    $$
    \boxed{2113.4 \text{ pints}}
    $$
    

    3. Convert to kg:

    • a) 9540 g
  14. Use the conversion factor 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}.

    $$
    9540 \text{ g} \times \frac{1 \text{ kg}}{1000 \text{ g}} = 9.54 \text{ kg}
    $$
    
  15. Round to one decimal place.

    $$
    \boxed{9.5 \text{ kg}}
    $$
    
    • b) 7,5 pounds
  16. Use the conversion factor 1 pound≈0.453592 kg1 \text{ pound} \approx 0.453592 \text{ kg}.

    $$
    7.5 \text{ pounds} \times \frac{0.453592 \text{ kg}}{1 \text{ pound}} \approx 3.40194 \text{ kg}
    $$
    
  17. Round to one decimal place.

    $$
    \boxed{3.4 \text{ kg}}
    $$
    
    • c) 5,6 ton (Assuming metric ton)
  18. Use the conversion factor 1 metric ton=1000 kg1 \text{ metric ton} = 1000 \text{ kg}.

    $$
    5.6 \text{ ton} \times \frac{1000 \text{ kg}}{1 \text{ ton}} = 5600 \text{ kg}
    $$
    
  19. Round to one decimal place.

    $$
    \boxed{5600.0 \text{ kg}}
    $$
    
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