Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (4 + 2) ÷ 2 x 4 - 3²
P: 4 + (6) ÷ 2 x 4 - 3²
E: 4 + 6 ÷ 2 x 4 - 9
MD: 4 + \( \frac{6}{2} \) x 4 - 9
MD: 4 + \( \frac{24}{2} \) - 9
AS: \( \frac{8}{2} \) + \( \frac{24}{2} \) - 9
AS: \( \frac{32}{2} \) - 9
AS: \( \frac{32 - 18}{2} \)
\( \frac{14}{2} \)
7

To add these radicals together their radicands must be the same:

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

Now that the radicands are identical, you can add them together:

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.

The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 have in common.

If the tiger has consumed 65 pounds of food in 5 days that's \( \frac{65}{5} \) = 13 pounds of food per day. The tiger needs to consume 130 - 65 = 65 more pounds of food to reach 130 pounds total. At 13 pounds of food per day that's \( \frac{65}{13} \) = 5 more days.