Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{25mi}{25mph} \)
1 hour

The equation for this sequence is:

a_n = a_n-1 + 4(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61

The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 36 and 24 have in common.

If 68% of the town's 13,000 voters cast ballots the number of votes cast is:

(\( \frac{68}{100} \)) x 13,000 = \( \frac{884,000}{100} \) = 8,840

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

(\( \frac{73}{100} \)) x 8,840 = \( \frac{645,320}{100} \) = 6,453 votes.

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

4\( \sqrt{32} \) + 8\( \sqrt{2} \)
4\( \sqrt{16 \times 2} \) + 8\( \sqrt{2} \)
4\( \sqrt{4^2 \times 2} \) + 8\( \sqrt{2} \)
(4)(4)\( \sqrt{2} \) + 8\( \sqrt{2} \)
16\( \sqrt{2} \) + 8\( \sqrt{2} \)

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