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

vans = \( \frac{38}{7} \) = 5\(\frac{3}{7}\)

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

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{35}{100} \) = \( \frac{35 x 30}{100} \) = \( \frac{1050}{100} \) = 10 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 = \( \frac{10}{\frac{30}{100}} \) = 10 x \( \frac{100}{30} \) = \( \frac{10 x 100}{30} \) = \( \frac{1000}{30} \) = 33 shots

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

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

\( \frac{4}{7} \) x \( \frac{2}{7} \) = \( \frac{4 x 2}{7 x 7} \) = \( \frac{8}{49} \) = \(\frac{8}{49}\)

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

6y³ x 5y²
(6 x 5)y^{(3 + 2)}
30y⁵

Jennifer scored 97% on the test meaning she earned 97% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.97 = 174 points. Each question is worth 3 points so she got \( \frac{174}{3} \) = 58 questions right.