You have 7 out of the total of 100 raffle tickets sold so you have a (\( \frac{7}{100} \)) x 100 = \( \frac{7 \times 100}{100} \) = \( \frac{700}{100} \) = 7% chance to win the raffle.

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

3\( \sqrt{80} \) + 3\( \sqrt{5} \)
3\( \sqrt{16 \times 5} \) + 3\( \sqrt{5} \)
3\( \sqrt{4^2 \times 5} \) + 3\( \sqrt{5} \)
(3)(4)\( \sqrt{5} \) + 3\( \sqrt{5} \)
12\( \sqrt{5} \) + 3\( \sqrt{5} \)

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

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

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.

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. 7 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 7 x 2 = 14 total workers to staff the crews during the busy season. The company already employs 4 workers so they need to add 14 - 4 = 10 new staff for the busy season.