QUESTION IMAGE
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 pint (pt) = 2 cups (cups) | 1 hour (hr) = 60 minutes (min) |
| 1 quart (qt) = 2 pints (pt) | 1 day (day) = 24 hours (hr) |
| 1 gallon (gal) = 4 quarts (qt) | 1 week (week) = 7 days (days) |
| 1 cubic foot (ft³) = 7.481 gallons (gal) | 1 month (month) = 30 days (days) |
| 1 liter (l) = 1000 milliliters (ml) | 1 year (year) = 365 days (days) |
| 1 cubic meter (m³) = 1000 liters (l) | |
| 1 gallon (gal) = 3.785 liters (l) |
Step1: Convert quarts to fluid ounces
Since 1 quart = 2 pints and 1 pint = 2 cups and 1 cup = 8 fluid ounces, then 1 quart = 2×2×8 = 32 fluid ounces. So 5 quarts = 5×32 = 160 fluid ounces.
Step2: Convert months to hours
Since 1 month = 30 days and 1 day = 24 hours, then 1 month = 30×24 = 720 hours.
Step3: Calculate the rate in fluid ounces per hour
The rate is the number of fluid ounces divided by the number of hours. So the rate is $\frac{160}{720}\approx0.22$ fluid ounces per hour.
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