Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{50}{11} \) = 4\(\frac{6}{11}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.

To subtract these radicals together their radicands must be the same:

3\( \sqrt{175} \) - 4\( \sqrt{7} \)
3\( \sqrt{25 \times 7} \) - 4\( \sqrt{7} \)
3\( \sqrt{5^2 \times 7} \) - 4\( \sqrt{7} \)
(3)(5)\( \sqrt{7} \) - 4\( \sqrt{7} \)
15\( \sqrt{7} \) - 4\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{150mi}{50mph} \)
3 hours

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $600
i = 0.09 x $600

No payments were made so the total amount due is the original amount + the accumulated interest:

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.