Question
Water flows through a pipe at a rate of 10 cups every 5.5 hours. Express this rate of flow in gallons per week. Round your answer to the nearest tenth.
*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 water from cups per hour to gallons per week, we can start with the given flow rate and make use of the conversion factors provided.
1. **Calculate cups per hour**:
The given flow rate is 10 cups every 5.5 hours.
\[
\text{Cups per hour} = \frac{10 \text{ cups}}{5.5 \text{ hours}} \approx 1.8182 \text{ cups/hour}
\]
2. **Calculate cups per week**:
There are \(24\) hours in a day and \(7\) days in a week:
\[
\text{Hours per week} = 24 \text{ hours/day} \times 7 \text{ days/week} = 168 \text{ hours/week}
\]
\[
\text{Cups per week} = 1.8182 \text{ cups/hour} \times 168 \text{ hours/week} \approx 305.454 \text{ cups/week}
\]
3. **Convert cups to gallons**:
- First, convert cups to pints:
\[
\text{Pints per week} = \frac{305.454 \text{ cups}}{2} \approx 152.727 \text{ pints/week}
\]
- Next, convert pints to quarts:
\[
\text{Quarts per week} = \frac{152.727 \text{ pints}}{2} \approx 76.3635 \text{ quarts/week}
\]
- Finally, convert quarts to gallons:
\[
\text{Gallons per week} = \frac{76.3635 \text{ quarts}}{4} \approx 19.090875 \text{ gallons/week}
\]
4. **Round to the nearest tenth**:
Rounding \(19.090875\) gallons to the nearest tenth gives:
\[
\text{Gallons per week} \approx 19.1
\]
Therefore, the final rate of flow is approximately **19.1 gallons per week**.
1. **Calculate cups per hour**:
The given flow rate is 10 cups every 5.5 hours.
\[
\text{Cups per hour} = \frac{10 \text{ cups}}{5.5 \text{ hours}} \approx 1.8182 \text{ cups/hour}
\]
2. **Calculate cups per week**:
There are \(24\) hours in a day and \(7\) days in a week:
\[
\text{Hours per week} = 24 \text{ hours/day} \times 7 \text{ days/week} = 168 \text{ hours/week}
\]
\[
\text{Cups per week} = 1.8182 \text{ cups/hour} \times 168 \text{ hours/week} \approx 305.454 \text{ cups/week}
\]
3. **Convert cups to gallons**:
- First, convert cups to pints:
\[
\text{Pints per week} = \frac{305.454 \text{ cups}}{2} \approx 152.727 \text{ pints/week}
\]
- Next, convert pints to quarts:
\[
\text{Quarts per week} = \frac{152.727 \text{ pints}}{2} \approx 76.3635 \text{ quarts/week}
\]
- Finally, convert quarts to gallons:
\[
\text{Gallons per week} = \frac{76.3635 \text{ quarts}}{4} \approx 19.090875 \text{ gallons/week}
\]
4. **Round to the nearest tenth**:
Rounding \(19.090875\) gallons to the nearest tenth gives:
\[
\text{Gallons per week} \approx 19.1
\]
Therefore, the final rate of flow is approximately **19.1 gallons per week**.