To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{40\sqrt{63}}{8\sqrt{9}} \)
\( \frac{40}{8} \) \( \sqrt{\frac{63}{9}} \)
5 \( \sqrt{7} \)

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 equation for this sequence is:

a_n = a_n-1 + 3(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 + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

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

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 25mph \times 1h \)
25 miles

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

\( \frac{3}{5} \) x \( \frac{1}{7} \) = \( \frac{3 x 1}{5 x 7} \) = \( \frac{3}{35} \) = \(\frac{3}{35}\)