Let's solve these problems:

7. A hot-air balloon travels 2016 miles in 96 hours. How many miles does the balloon travel in 1 hour?

To find the number of miles per hour: $\text{Miles per hour} = \frac{\text{Total miles}}{\text{Total hours}} = \frac{2016}{96}$

Divide $2016 \div 96 = 21$.

Answer: The balloon travels 21 miles per hour.

8. The area of a rectangle is 1875 square feet. One side is 75 feet. What is the width of the rectangle?

The formula for the area of a rectangle is: $\text{Area} = \text{Width} \times \text{Length}$

Rearrange the formula to solve for width: $\text{Width} = \frac{\text{Area}}{\text{Length}} = \frac{1875}{75}$

Divide $1875 \div 75 = 25$.

Answer: The width of the rectangle is 25 feet.

Let me know if you want a detailed breakdown or have further questions! Here are 5 related questions to consider:

1. What would be the travel time if the balloon had to travel 1000 miles at the same speed?
2. How would the calculation change if the balloon's speed was inconsistent across hours?
3. What if the rectangle's area was given in different units (e.g., square meters)? How would the calculation adjust?
4. Can you calculate the perimeter of the rectangle with the given dimensions?
5. What is the significance of dividing proportions in real-world applications like these?

Tip: Always double-check your division when solving problems with larger numbers to ensure accuracy.