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

7\( \sqrt{175} \) + 8\( \sqrt{7} \)
7\( \sqrt{25 \times 7} \) + 8\( \sqrt{7} \)
7\( \sqrt{5^2 \times 7} \) + 8\( \sqrt{7} \)
(7)(5)\( \sqrt{7} \) + 8\( \sqrt{7} \)
35\( \sqrt{7} \) + 8\( \sqrt{7} \)

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

If 46% of the town's 46,000 voters cast ballots the number of votes cast is:

(\( \frac{46}{100} \)) x 46,000 = \( \frac{2,116,000}{100} \) = 21,160

The mayor got 73% of the votes cast which is:

(\( \frac{73}{100} \)) x 21,160 = \( \frac{1,544,680}{100} \) = 15,447 votes.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,100
i = 0.08 x $1,100
i = $88

If the tiger has consumed 88 pounds of food in 8 days that's \( \frac{88}{8} \) = 11 pounds of food per day. The tiger needs to consume 132 - 88 = 44 more pounds of food to reach 132 pounds total. At 11 pounds of food per day that's \( \frac{44}{11} \) = 4 more days.