You have 4 out of the total of 50 raffle tickets sold so you have a (\( \frac{4}{50} \)) x 100 = \( \frac{4 \times 100}{50} \) = \( \frac{400}{50} \) = 8% chance to win the raffle.

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{18\sqrt{10}}{6\sqrt{2}} \)
\( \frac{18}{6} \) \( \sqrt{\frac{10}{2}} \)
3 \( \sqrt{5} \)

If a single cook can bake 5 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 5 x 4 = 20 large cakes during that time. 39 large cakes are needed for the party so \( \frac{39}{20} \) = 1\(\frac{19}{20}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 14 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 14 x 4 = 56 small cakes during that time. 400 small cakes are needed for the party so \( \frac{400}{56} \) = 7\(\frac{1}{7}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 2 + 8 = 10 cooks.

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 15 workers at the company now and that's enough to staff 5 crews so there are \( \frac{15}{5} \) = 3 workers on a crew. 8 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 8 x 3 = 24 total workers to staff the crews during the busy season. The company already employs 15 workers so they need to add 24 - 15 = 9 new staff for the busy season.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-7z⁵ - 4z⁵
(-7 - 4)z⁵
-11z⁵