To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{16}} \)
\( \frac{\sqrt{4}}{\sqrt{16}} \)
\( \frac{\sqrt{2^2}}{\sqrt{4^2}} \)
\(\frac{1}{2}\)

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{70}{100} \) = \( \frac{70 x 20}{100} \) = \( \frac{1400}{100} \) = 14 shots

The center makes 50% 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 = \( \frac{14}{\frac{50}{100}} \) = 14 x \( \frac{100}{50} \) = \( \frac{14 x 100}{50} \) = \( \frac{1400}{50} \) = 28 shots

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

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

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.

If 54% of the town's 35,000 voters cast ballots the number of votes cast is:

(\( \frac{54}{100} \)) x 35,000 = \( \frac{1,890,000}{100} \) = 18,900

The mayor got 51% of the votes cast which is:

(\( \frac{51}{100} \)) x 18,900 = \( \frac{963,900}{100} \) = 9,639 votes.