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 12 workers at the company now and that's enough to staff 3 crews so there are \( \frac{12}{3} \) = 4 workers on a crew. 8 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 8 x 4 = 32 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 32 - 12 = 20 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:

4b⁷ - 2b⁷
(4 - 2)b⁷
2b⁷

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

5\( \sqrt{18} \) - 2\( \sqrt{2} \)
5\( \sqrt{9 \times 2} \) - 2\( \sqrt{2} \)
5\( \sqrt{3^2 \times 2} \) - 2\( \sqrt{2} \)
(5)(3)\( \sqrt{2} \) - 2\( \sqrt{2} \)
15\( \sqrt{2} \) - 2\( \sqrt{2} \)

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

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{8} \) x \( \frac{4}{6} \) = \( \frac{4 x 4}{8 x 6} \) = \( \frac{16}{48} \) = \(\frac{1}{3}\)

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 30% the radius (and, consequently, the total area) increases by \( \frac{30\text{%}}{2} \) = 15%