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Water flows through a pipe at a rate of 7700 milliliters per day. Express this rate of flow in quarts per month. Round your answer to the nearest whole number.

*Note: you must use these exact conversion factors to get this question right.
Volume Time
1 cup left parenthesis, cup, right parenthesis(cup) = 8 fluid ounces left parenthesis, fl oz, right parenthesis(fl oz) 1 minute left parenthesis, min, right parenthesis(min) = 60 seconds left parenthesis, sec, right parenthesis(sec)
1 pint left parenthesis, pt, right parenthesis(pt) = 2 cups left parenthesis, cups, right parenthesis(cups) 1 hour left parenthesis, hr, right parenthesis(hr) = 60 minutes left parenthesis, min, right parenthesis(min)
1 quart left parenthesis, qt, right parenthesis(qt) = 2 pints left parenthesis, pt, right parenthesis(pt) 1 day left parenthesis, day, right parenthesis(day) = 24 hours left parenthesis, hr, right parenthesis(hr)
1 gallon left parenthesis, gal, right parenthesis(gal) = 4 quarts left parenthesis, qt, right parenthesis(qt) 1 week left parenthesis, week, right parenthesis(week) = 7 days left parenthesis, days, right parenthesis(days)
1 cubic foot left parenthesis, ft³, right parenthesis(ft³) = 7.481 gallons left parenthesis, gal, right parenthesis(gal) 1 month left parenthesis, month, right parenthesis(month) = 30 days left parenthesis, days, right parenthesis(days)
1 liter left parenthesis, L, right parenthesis(L) = 1000 milliliters left parenthesis, mL, right parenthesis(mL) 1 year left parenthesis, year, right parenthesis(year) = 365 days left parenthesis, days, right parenthesis(days)
1 cubic meter left parenthesis, m³, right parenthesis(m³) = 1000 liters left parenthesis, L, right parenthesis(L)
1 gallon left parenthesis, gal, right parenthesis(gal) = 3.785 liters left parenthesis, L, right parenthesis(L)
1 fluid ounce left parenthesis, fl oz, right parenthesis(fl oz) = 29.574 milliliters left parenthesis, mL, right parenthesis(mL)

1 answer

To convert the water flow rate from milliliters per day to quarts per month, we can follow a step-by-step conversion process using the provided conversion factors.

  1. Convert milliliters to liters: \[ 7700 \text{ mL} = \frac{7700}{1000} \text{ L} = 7.7 \text{ L} \]

  2. Convert liters to gallons: We know that: \[ 1 \text{ gal} = 3.785 \text{ L} \] So, \[ 7.7 \text{ L} = \frac{7.7}{3.785} \text{ gal} \approx 2.033 \text{ gal} \]

  3. Convert gallons to quarts: We know that: \[ 1 \text{ gal} = 4 \text{ qt} \] Therefore, \[ 2.033 \text{ gal} = 2.033 \times 4 \text{ qt} \approx 8.132 \text{ qt} \]

  4. Convert daily flow to monthly flow: Since there are 30 days in a month, we multiply the daily flow by 30: \[ 8.132 \text{ qt/day} \times 30 \text{ days} \approx 243.96 \text{ qt/month} \]

  5. Round to the nearest whole number: \[ 243.96 \text{ qt/month} \approx 244 \text{ qt/month} \]

Thus, the flow rate of water is approximately 244 quarts per month.