Water flows through a pipe at a rate of 2800 fluid ounces per week. Express this rate of flow in cups per minute. Round your answer to the nearest hundredth. *Note: you must use these exact conversion factors to get this question right. Volume 1 cup \( (\operatorname{cup})=8 \) fluid ounces ( floz ) 1 pint (pt) \( =2 \) cups (cups) 1 quart (qt) \( =2 \) pints (pt) 1 gallon \( ( \) gal \( )=4 \) quarts \( (q t) \) 1 cubie foot \( \left(\mathrm{ft}^{3}\right)=7.481 \) gallons \( (\mathrm{gal}) \) 1 liter \( (\mathrm{L})=1000 \) milliliters ( mL ) 1 cubic meter \( \left(\mathrm{m}^{3}\right)=1000 \) liters \( (\mathrm{L}) \) 1 gallon \( (\mathrm{mal})=3 .-85 \) liters \( (\mathrm{L}) \) 1 fluid ounce \( (f \mathrm{oz})=29.574 \) milliliters (mL)
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To convert 2800 fluid ounces per week into cups per minute, first, divide the total by the number of fluid ounces in a cup. Since there are 8 fluid ounces in a cup, you get \(2800 \div 8 = 350\) cups per week. Next, convert weeks into minutes. There are \(7\) days in a week, \(24\) hours in a day, and \(60\) minutes in an hour, making it \(7 \times 24 \times 60 = 10080\) minutes in a week. Finally, divide cups per week by minutes per week: \(350 \div 10080 \approx 0.0346\) cups per minute. Rounding to the nearest hundredth gives approximately \(0.03\) cups per minute. Ever wondered why fluid ounces are such a quirky measure? They're often linked to the liquid volume in cooking and serving sizes, making them vital for recipes. For example, if you're whipping up a soup or a sauce, knowing how to convert between ounces and cups can keep your dish just right. Plus, you'll impress friends with your culinary math skills next time you host a dinner!