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

vans = \( \frac{68}{9} \) = 7\(\frac{5}{9}\)

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

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

Betty scored 79% on the test meaning she earned 79% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.79 = 142 points. Each question is worth 2 points so she got \( \frac{142}{2} \) = 71 questions right.

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{42\sqrt{25}}{6\sqrt{5}} \)
\( \frac{42}{6} \) \( \sqrt{\frac{25}{5}} \)
7 \( \sqrt{5} \)