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

vans = \( \frac{94}{12} \) = 7\(\frac{5}{6}\)

So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.

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

\( \frac{3}{7} \) ÷ \( \frac{3}{7} \) = \( \frac{3}{7} \) x \( \frac{7}{3} \)

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

\( \frac{3}{7} \) x \( \frac{7}{3} \) = \( \frac{3 x 7}{7 x 3} \) = \( \frac{21}{21} \) = 1

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

Latoya scored 86% on the test meaning she earned 86% of the possible points on the test. There were 100 possible points on the test so she earned 100 x 0.86 = 86 points. Each question is worth 2 points so she got \( \frac{86}{2} \) = 43 questions right.

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.