If the guard hits 50% of his shots and takes 20 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{50}{100} \) = \( \frac{50 x 20}{100} \) = \( \frac{1000}{100} \) = 10 shots

The center makes 35% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{10}{\frac{35}{100}} \) = 10 x \( \frac{100}{35} \) = \( \frac{10 x 100}{35} \) = \( \frac{1000}{35} \) = 29 shots

to make the same number of shots as the guard and thus score the same number of points.

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 $800
i = 0.03 x $800

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

total = $800 + $24
total = $824

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

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 50mph \times 6h \)
300 miles

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

vans = \( \frac{86}{14} \) = 6\(\frac{1}{7}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.

To divide fractions, invert the second fraction and then multiply:

\( \frac{1}{5} \) ÷ \( \frac{2}{5} \) = \( \frac{1}{5} \) x \( \frac{5}{2} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{5} \) x \( \frac{5}{2} \) = \( \frac{1 x 5}{5 x 2} \) = \( \frac{5}{10} \) = \(\frac{1}{2}\)