If 41% of the town's 44,000 voters cast ballots the number of votes cast is:

(\( \frac{41}{100} \)) x 44,000 = \( \frac{1,804,000}{100} \) = 18,040

The mayor got 79% of the votes cast which is:

(\( \frac{79}{100} \)) x 18,040 = \( \frac{1,425,160}{100} \) = 14,252 votes.

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

3\( \sqrt{80} \) + 7\( \sqrt{5} \)
3\( \sqrt{16 \times 5} \) + 7\( \sqrt{5} \)
3\( \sqrt{4^2 \times 5} \) + 7\( \sqrt{5} \)
(3)(4)\( \sqrt{5} \) + 7\( \sqrt{5} \)
12\( \sqrt{5} \) + 7\( \sqrt{5} \)

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

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:

3c⁶ - 1c⁶
(3 - 1)c⁶
2c⁶

Monica scored 93% on the test meaning she earned 93% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.93 = 296 points. Each question is worth 4 points so she got \( \frac{296}{4} \) = 74 questions right.

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

7\( \sqrt{63} \) - 3\( \sqrt{7} \)
7\( \sqrt{9 \times 7} \) - 3\( \sqrt{7} \)
7\( \sqrt{3^2 \times 7} \) - 3\( \sqrt{7} \)
(7)(3)\( \sqrt{7} \) - 3\( \sqrt{7} \)
21\( \sqrt{7} \) - 3\( \sqrt{7} \)

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