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

Mary drove approximately ________ miles to her grandmother's house.
OPTIONS: 46.208, 49.73, 61.22, OR 52.61

Answer 2

To determine the distance that Mary drove, we need more information about her route or a specific value associated with her drive.

For Nancy, we need to calculate the square root of \( 2840 \):
\[
\sqrt{2840} \approx 53.29 \text{ miles}
\]

Now we have the distances for the three individuals:
- Theo: 50 miles
- Nancy: approximately 53.29 miles

To complete the statement about the distances driven, we need Mary’s distance. Assuming we need to find the order of drives from shortest to longest, let's assume Mary drove a specific distance (for example, let's say Mary also drove 100 miles for the sake of this answer).

Now, we can compile the information (assuming a hypothetical distance for Mary):

1. Theo: 50 miles
2. Nancy: approximately 53.29 miles
3. Mary: 100 miles (hypothetical)

Now we can order the distances:
- Shortest to longest: Theo (50 miles) → Nancy (approximately 53.29 miles) → Mary (100 miles).

Final answers:
1. Mary drove approximately 100 miles (hypothetical).
2. The order of their drives from shortest to longest is Theo, Nancy, Mary.

If you have the actual distance Mary drove, please provide that value to give a precise answer.

Answer 3

To determine how far Mary drove, we can compare her potential distances with those of Theo and Nancy.

Given the distances:
- Theo: 50 miles
- Nancy: approximately \( \sqrt{2840} \approx 53.29 \) miles

Now, let's compare the provided options for Mary:
1. 46.208 miles
2. 49.73 miles
3. 61.22 miles
4. 52.61 miles

To find the ordering:
- **46.208 miles**: Shortest
- **49.73 miles**: Next shortest
- **50 miles** (Theo)
- **52.61 miles**: Next shortest after Theo
- **53.29 miles** (Nancy)
- **61.22 miles**: Longest

Thus, to maintain the order:
- If Mary drove 46.208 miles, the order would be: **Mary (46.208), Theo (50), Nancy (53.29)**
- If Mary drove 49.73 miles, the order would be: **Mary (49.73), Theo (50), Nancy (53.29)**
- If Mary drove 61.22 miles, Mary would have the longest distance.
- If Mary drove 52.61 miles, the order would be: **Theo (50), Mary (52.61), Nancy (53.29)**

Given this analysis, Mary drove approximately **52.61 miles** to her grandmother's house, as this fits into the ordering and is the only value that is close to Theo's distance without exceeding Nancy's.

So the answer is:
Mary drove approximately **52.61** miles to her grandmother's house.