The factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 the greatest factor 72 and 52 have in common.

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{45}{100} \) = \( \frac{45 x 30}{100} \) = \( \frac{1350}{100} \) = 13 shots

The center makes 40% 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 = \( \frac{13}{\frac{40}{100}} \) = 13 x \( \frac{100}{40} \) = \( \frac{13 x 100}{40} \) = \( \frac{1300}{40} \) = 33 shots

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

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

vans = \( \frac{58}{11} \) = 5\(\frac{3}{11}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.

The amount of flour you need is (3\(\frac{1}{8}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{25}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{17}{8} \) cups
2\(\frac{1}{8}\) cups

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

9\( \sqrt{125} \) - 3\( \sqrt{5} \)
9\( \sqrt{25 \times 5} \) - 3\( \sqrt{5} \)
9\( \sqrt{5^2 \times 5} \) - 3\( \sqrt{5} \)
(9)(5)\( \sqrt{5} \) - 3\( \sqrt{5} \)
45\( \sqrt{5} \) - 3\( \sqrt{5} \)

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