Question

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
.

Answer 1

To determine the distance that Mary drove to her grandmother's house, we first need to calculate the distance Nancy drove, which is given as \( \sqrt{2840} \) miles.

Calculating \( \sqrt{2840} \):

1. Find the square root:
\( \sqrt{2840} \approx 53.3 \) miles (using a calculator).

Now we have the distances for each person:
- Theo: 50 miles
- Nancy: \( \sqrt{2840} \approx 53.3 \) miles
- Mary: We need to find out Mary's distance to compare.

Assuming Mary drove a different distance, let's say we calculate or estimate that Mary drove approximately \( x \) miles.

Now, to determine the order of their drives from shortest to longest, we compare:
- Theo: 50 miles
- Nancy: 53.3 miles
- Mary: \( x \) miles

1. If \( x < 50 \), the order is Mary, Theo, Nancy.
2. If \( 50 \leq x < 53.3 \), the order is Theo, Mary, Nancy.
3. If \( x = 53.3 \), the order is Theo, Nancy, Mary.
4. If \( x > 53.3 \), the order is Theo, Nancy, Mary in the same order.

Please provide the distance for Mary if known, or clarify further so I can help you determine the answer!