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 30% 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 = \( \frac{13}{\frac{30}{100}} \) = 13 x \( \frac{100}{30} \) = \( \frac{13 x 100}{30} \) = \( \frac{1300}{30} \) = 43 shots

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

The equation for this sequence is:

a_n = a_n-1 + 2(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 2(6 - 1)
a₆ = 21 + 2(5)
a₆ = 31

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

\( \frac{2}{7} \) ÷ \( \frac{2}{5} \) = \( \frac{2}{7} \) x \( \frac{5}{2} \)

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

\( \frac{2}{7} \) x \( \frac{5}{2} \) = \( \frac{2 x 5}{7 x 2} \) = \( \frac{10}{14} \) = \(\frac{5}{7}\)

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

vans = \( \frac{51}{16} \) = 3\(\frac{3}{16}\)

So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.

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

\( \frac{3}{8} \) x \( \frac{4}{8} \) = \( \frac{3 x 4}{8 x 8} \) = \( \frac{12}{64} \) = \(\frac{3}{16}\)