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 subtract these radicals together their radicands must be the same:

8\( \sqrt{18} \) - 2\( \sqrt{2} \)
8\( \sqrt{9 \times 2} \) - 2\( \sqrt{2} \)
8\( \sqrt{3^2 \times 2} \) - 2\( \sqrt{2} \)
(8)(3)\( \sqrt{2} \) - 2\( \sqrt{2} \)
24\( \sqrt{2} \) - 2\( \sqrt{2} \)

Now that the radicands are identical, you can subtract them:

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

If the tiger has consumed 55 pounds of food in 11 days that's \( \frac{55}{11} \) = 5 pounds of food per day. The tiger needs to consume 75 - 55 = 20 more pounds of food to reach 75 pounds total. At 5 pounds of food per day that's \( \frac{20}{5} \) = 4 more days.

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 4 workers at the company now and that's enough to staff 2 crews so there are \( \frac{4}{2} \) = 2 workers on a crew. 5 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 5 x 2 = 10 total workers to staff the crews during the busy season. The company already employs 4 workers so they need to add 10 - 4 = 6 new staff for the busy season.