The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. 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 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

To simplify a radical, factor out the perfect squares:

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

By buying two shirts, Alex will save $44 x \( \frac{5}{100} \) = \( \frac{$44 x 5}{100} \) = \( \frac{$220}{100} \) = $2.20 on the second shirt.

If the tiger has consumed 72 pounds of food in 9 days that's \( \frac{72}{9} \) = 8 pounds of food per day. The tiger needs to consume 104 - 72 = 32 more pounds of food to reach 104 pounds total. At 8 pounds of food per day that's \( \frac{32}{8} \) = 4 more days.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{8 x 3}{8 x 3} \) + \( \frac{3 x 2}{12 x 2} \)

\( \frac{24}{24} \) + \( \frac{6}{24} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{24 + 6}{24} \) = \( \frac{30}{24} \) = 1\(\frac{1}{4}\)