(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
.

1 answer

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

Calculating \( \sqrt{2840} \):

\[ \sqrt{2840} \approx 53.33 \text{ miles} \quad (\text{using a calculator}) \]

Now, we can summarize the distances:

  • Theo: 50 miles
  • Nancy: approximately 53.33 miles
  • Mary: We'll need the specific distance for Mary to complete the comparison.

Assuming Mary drove \( x \) miles, we will need that value to order the distances appropriately. However, if we just focus on Theo and Nancy's trips:

From shortest to longest at this point, we already know:

  1. Theo: 50 miles
  2. Nancy: approximately 53.33 miles

Thus, if \( x \) miles (Mary's distance) is evaluated, the order can change. If Mary drove more than approximately 53.33 miles, then the order will be Theo, Nancy, then Mary. If Mary drove less than 50 miles, the order would be Mary, Theo, then Nancy. If Mary drove between 50 and approximately 53.33 miles, then the order would be Theo, Mary, then Nancy.

Could you please provide the distance Mary drove, or would you like to proceed without it?