If the tiger has consumed 120 pounds of food in 8 days that's \( \frac{120}{8} \) = 15 pounds of food per day. The tiger needs to consume 195 - 120 = 75 more pounds of food to reach 195 pounds total. At 15 pounds of food per day that's \( \frac{75}{15} \) = 5 more days.

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 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:

\( \sqrt{\frac{49}{36}} \)
\( \frac{\sqrt{49}}{\sqrt{36}} \)
\( \frac{\sqrt{7^2}}{\sqrt{6^2}} \)
\( \frac{7}{6} \)
1\(\frac{1}{6}\)

First, solve for \( \left|y + 2\right| \):

\( \left|y + 2\right| \) + 1 = 2
\( \left|y + 2\right| \) = 2 - 1
\( \left|y + 2\right| \) = 1

The value inside the absolute value brackets can be either positive or negative so (y + 2) must equal + 1 or -1 for \( \left|y + 2\right| \) to equal 1:

So, y = -3 or y = -1.

By buying two shirts, Roger will save $19 x \( \frac{15}{100} \) = \( \frac{$19 x 15}{100} \) = \( \frac{$285}{100} \) = $2.85 on the second shirt.