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

vans = \( \frac{87}{7} \) = 12\(\frac{3}{7}\)

So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.

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

5\( \sqrt{18} \) + 3\( \sqrt{2} \)
5\( \sqrt{9 \times 2} \) + 3\( \sqrt{2} \)
5\( \sqrt{3^2 \times 2} \) + 3\( \sqrt{2} \)
(5)(3)\( \sqrt{2} \) + 3\( \sqrt{2} \)
15\( \sqrt{2} \) + 3\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

Diane scored 87% on the test meaning she earned 87% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.87 = 208 points. Each question is worth 4 points so she got \( \frac{208}{4} \) = 52 questions right.

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

\( \frac{2}{7} \) ÷ \( \frac{2}{8} \) = \( \frac{2}{7} \) x \( \frac{8}{2} \)

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

\( \frac{2}{7} \) x \( \frac{8}{2} \) = \( \frac{2 x 8}{7 x 2} \) = \( \frac{16}{14} \) = 1\(\frac{1}{7}\)

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

\( \frac{-8y^6}{9y^2} \)
\( \frac{-8}{9} \) y^{(6 - 2)}
-\(\frac{8}{9}\)y⁴