Question
Water flows through a pipe at a rate of 5 quarts per month. Express this rate of flow in fluid ounces per hour. Round your answer to the nearest hundredth.
*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)
*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)
Answers
GPT-4o mini
To convert the flow rate of 5 quarts per month to fluid ounces per hour, we can follow these steps:
1. **Convert quarts to fluid ounces:**
We know from the conversion factors that:
\[
1 \text{ quart} = 2 \text{ pints} \times 2 \text{ cups} \times 8 \text{ fluid ounces} = 2 \times 2 \times 8 \text{ fl oz}
\]
Hence,
\[
1 \text{ quart} = 32 \text{ fluid ounces}
\]
Therefore, 5 quarts is:
\[
5 \text{ quarts} = 5 \times 32 \text{ fl oz} = 160 \text{ fluid ounces}
\]
2. **Convert months to hours:**
We know that:
\[
1 \text{ month} = 30 \text{ days}
\]
and
\[
1 \text{ day} = 24 \text{ hours}
\]
Therefore, the number of hours in a month is:
\[
30 \text{ days} \times 24 \text{ hours/day} = 720 \text{ hours}
\]
3. **Calculate the flow rate in fluid ounces per hour:**
Now, we can find the flow rate in fluid ounces per hour by dividing the total fluid ounces by the total hours:
\[
\text{flow rate in fl oz/hr} = \frac{160 \text{ fl oz}}{720 \text{ hours}} \approx 0.2222 \text{ fl oz/hr}
\]
4. **Round the answer to the nearest hundredth:**
Rounding 0.2222 to the nearest hundredth gives:
\[
0.22 \text{ fl oz/hr}
\]
Thus, the final answer for the flow rate of water in fluid ounces per hour is approximately **0.22 fluid ounces per hour**.
1. **Convert quarts to fluid ounces:**
We know from the conversion factors that:
\[
1 \text{ quart} = 2 \text{ pints} \times 2 \text{ cups} \times 8 \text{ fluid ounces} = 2 \times 2 \times 8 \text{ fl oz}
\]
Hence,
\[
1 \text{ quart} = 32 \text{ fluid ounces}
\]
Therefore, 5 quarts is:
\[
5 \text{ quarts} = 5 \times 32 \text{ fl oz} = 160 \text{ fluid ounces}
\]
2. **Convert months to hours:**
We know that:
\[
1 \text{ month} = 30 \text{ days}
\]
and
\[
1 \text{ day} = 24 \text{ hours}
\]
Therefore, the number of hours in a month is:
\[
30 \text{ days} \times 24 \text{ hours/day} = 720 \text{ hours}
\]
3. **Calculate the flow rate in fluid ounces per hour:**
Now, we can find the flow rate in fluid ounces per hour by dividing the total fluid ounces by the total hours:
\[
\text{flow rate in fl oz/hr} = \frac{160 \text{ fl oz}}{720 \text{ hours}} \approx 0.2222 \text{ fl oz/hr}
\]
4. **Round the answer to the nearest hundredth:**
Rounding 0.2222 to the nearest hundredth gives:
\[
0.22 \text{ fl oz/hr}
\]
Thus, the final answer for the flow rate of water in fluid ounces per hour is approximately **0.22 fluid ounces per hour**.