The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

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 + 9

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 + 9
a₆ = 37 + 9
a₆ = 46

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

7\( \sqrt{8} \) - 9\( \sqrt{2} \)
7\( \sqrt{4 \times 2} \) - 9\( \sqrt{2} \)
7\( \sqrt{2^2 \times 2} \) - 9\( \sqrt{2} \)
(7)(2)\( \sqrt{2} \) - 9\( \sqrt{2} \)
14\( \sqrt{2} \) - 9\( \sqrt{2} \)

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

To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{24}{60} \) = \( \frac{\frac{24}{12}}{\frac{60}{12}} \) = \( \frac{2}{5} \)