Complete each statement.

1. 9 gal/s = ___ qt/min
2. 5.5 days = __ min
3. 50 yd= _____m
4. 10mi/hr = ____m/min

1 answer

Let's convert each measurement step by step.

  1. 9 gal/s = ___ qt/min

    • There are 4 quarts in a gallon. Therefore, \[ 9 , \text{gal/s} \times 4 , \text{qt/gal} = 36 , \text{qt/s} \]
    • To convert seconds to minutes (1 minute = 60 seconds), \[ 36 , \text{qt/s} \times 60 , \text{s/min} = 2160 , \text{qt/min} \]
    • So, 9 gal/s = 2160 qt/min.
  2. 5.5 days = __ min

    • There are 24 hours in a day, and 60 minutes in an hour. Thus: \[ 5.5 , \text{days} \times 24 , \text{hours/day} \times 60 , \text{min/hour} = 7920 , \text{min} \]
    • So, 5.5 days = 7920 min.
  3. 50 yd = _____m

    • The conversion factor from yards to meters is 1 yard ≈ 0.9144 meters. Therefore, \[ 50 , \text{yd} \times 0.9144 , \text{m/yd} = 45.72 , \text{m} \]
    • So, 50 yd = 45.72 m.
  4. 10 mi/hr = ____m/min

    • The conversion factors are: 1 mile ≈ 1609.34 meters and 1 hour = 60 minutes. Thus, \[ 10 , \text{mi/hr} \times 1609.34 , \text{m/mi} = 16093.4 , \text{m/hr} \]
    • Now convert hours to minutes: \[ 16093.4 , \text{m/hr} \div 60 , \text{min/hr} \approx 268.224 , \text{m/min} \]
    • So, 10 mi/hr ≈ 268.224 m/min.

In summary:

  1. 9 gal/s = 2160 qt/min
  2. 5.5 days = 7920 min
  3. 50 yd = 45.72 m
  4. 10 mi/hr = 268.224 m/min