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.

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

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

2\( \sqrt{5} \) x 3\( \sqrt{6} \)
(2 x 3)\( \sqrt{5 \times 6} \)
6\( \sqrt{30} \)

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

vans = \( \frac{57}{14} \) = 4\(\frac{1}{14}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{65}{100} \) = \( \frac{65 x 20}{100} \) = \( \frac{1300}{100} \) = 13 shots

The center makes 45% 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 = \( \frac{13}{\frac{45}{100}} \) = 13 x \( \frac{100}{45} \) = \( \frac{13 x 100}{45} \) = \( \frac{1300}{45} \) = 29 shots

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