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Answer each part. If necessary, round your answers to the nearest hundredth. \( \begin{array}{l}\text { (a) Reuben runs } 9 \text { miles in } 53 \text { minutes. } \\ \text { How many minutes does he take per mile? } \\ \square \text { minutes per mile } \\ \text { (b) Jenny bought } 19 \text { pounds of rice for } \$ 12 \text {. } \\ \text { How many dollars did she pay per pound of rice? } \\ \square \text { dollars per pound }\end{array} \)

Ask by Hilton Nichols. in the United States
Jan 13,2025

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Tutor-Verified Answer

Answer

**(a) 5.89 minutes per mile** **(b) \$0.63 per pound**

Solution

Sure, let's solve each part step by step. --- ### **(a) Minutes per Mile** Reuben runs **9 miles** in **53 minutes**. To find the number of minutes he takes per mile, divide the total minutes by the total miles: \[ \text{Minutes per mile} = \frac{53 \text{ minutes}}{9 \text{ miles}} \approx 5.888\ldots \] Rounded to the nearest hundredth: \[ \boxed{5.89 \text{ minutes per mile}} \] --- ### **(b) Dollars per Pound** Jenny bought **19 pounds** of rice for **\$12**. To find the cost per pound, divide the total cost by the total pounds: \[ \text{Dollars per pound} = \frac{12 \text{ dollars}}{19 \text{ pounds}} \approx 0.6315\ldots \] Rounded to the nearest hundredth: \[ \boxed{\$0.63 \text{ per pound}} \] ---

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To find out how many minutes Reuben takes per mile, we divide the total time he ran by the number of miles: (a) \[ \text{Minutes per mile} = \frac{53 \text{ minutes}}{9 \text{ miles}} \approx 5.89 \text{ minutes per mile} \] So, Reuben takes approximately \(5.89\) minutes per mile. For Jenny, we'll calculate how many dollars she paid per pound of rice by dividing the total cost by the total weight: (b) \[ \text{Dollars per pound} = \frac{12 \text{ dollars}}{19 \text{ pounds}} \approx 0.63 \text{ dollars per pound} \] Therefore, Jenny paid approximately \(0.63\) dollars per pound of rice.

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