(2 points) Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove 2840−−−−√ miles, and Mary's route is shown below. Mary drove approximately miles to her grandmother's house. The order of their drives from shortest to longest is . Skip to navigation

Answer 1

To determine the order of the drives from shortest to longest, we need to calculate the distance Nancy drove, which is \( \sqrt{2840} \).

1. Calculate \( \sqrt{2840} \): \[ \sqrt{2840} \approx 53.31 \text{ miles} \quad (\text{using a calculator}) \]

Now we have the distances driven by each person:

• Theo: 50 miles
• Nancy: \( \sqrt{2840} \approx 53.31 \) miles
• Mary: (we need additional information to find out how far Mary drove, as it's not specified in the problem)

Assuming that Mary drove a certain distance \( d_M \) that you need to provide, we can then compare the three distances.

Next, to find the order from shortest to longest:

1. If Mary drove less than 50 miles, the order would be:
   • Mary, Theo, Nancy
2. If Mary drove exactly 50 miles, the order would be:
   • Theo, Mary, Nancy
3. If Mary drove between 50 and 53.31 miles, the order would be:
   • Theo, Mary, Nancy
4. If Mary drove exactly 53.31 miles, the order would be:
   • Theo, Nancy, Mary
5. If Mary drove more than 53.31 miles, the order would be:
   • Theo, Nancy, Mary

Please confirm Mary's distance so we can finalize the order!