Pregunta
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Imagine that Amy counted 60 numbers per minute and continued to count nonstop until she reached 10,000 . Determine a reasonable estimate of the number of hours it would take Amy to complete the counting. It will take Amy approximately \( \square \) hours to count to 10,000 . (Type a whole number)

Ask by Reese Wyatt. in the United States
Jan 31,2025

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It will take Amy approximately 3 hours to count to 10,000.

Solución

To determine how long it will take Amy to count to 10,000 at a rate of 60 numbers per minute, follow these steps: 1. **Calculate the total minutes needed:** \[ \text{Total minutes} = \frac{10,000 \text{ numbers}}{60 \text{ numbers/minute}} \approx 166.67 \text{ minutes} \] 2. **Convert minutes to hours:** \[ \text{Hours} = \frac{166.67 \text{ minutes}}{60 \text{ minutes/hour}} \approx 2.78 \text{ hours} \] 3. **Round to the nearest whole number:** Since 2.78 hours is closer to 3 hours than to 2 hours, a reasonable estimate is **3 hours**. **Answer:** It will take Amy approximately **3** hours to count to 10,000.

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Beyond the Answer

First, let's break down the problem: Amy counts 60 numbers per minute. To find out how long it takes her to count to 10,000, we need to calculate the total minutes required. Dividing 10,000 by 60 gives us approximately 166.67 minutes. Now, to convert those minutes into hours, we divide by 60 again, which results in roughly 2.78 hours. So rounding to the nearest whole number, it will take Amy approximately 3 hours to count to 10,000. Keep in mind that real-life counting could be affected by distractions and fatigue, so this estimate is based purely on constant counting without breaks. This means that, practically, Amy should probably allocate a little more time to reach her counting goal!

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