The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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 + 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

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 = \( \frac{220mi}{55mph} \)
4 hours

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

3\( \sqrt{175} \) + 3\( \sqrt{7} \)
3\( \sqrt{25 \times 7} \) + 3\( \sqrt{7} \)
3\( \sqrt{5^2 \times 7} \) + 3\( \sqrt{7} \)
(3)(5)\( \sqrt{7} \) + 3\( \sqrt{7} \)
15\( \sqrt{7} \) + 3\( \sqrt{7} \)

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