By buying two shirts, Roger will save $50 x \( \frac{50}{100} \) = \( \frac{$50 x 50}{100} \) = \( \frac{$2500}{100} \) = $25.00 on the second shirt.

So, his total cost will be
$50.00 + ($50.00 - $25.00)
$50.00 + $25.00
$75.00

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. 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 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

To simplify a radical, factor out the perfect squares:

\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)

Christine scored 75% on the test meaning she earned 75% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.75 = 180 points. Each question is worth 3 points so she got \( \frac{180}{3} \) = 60 questions right.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

3z⁴ + 7z⁴
(3 + 7)z⁴
10z⁴