To find the average of these 4 numbers add them together then divide by 4:

\( \frac{7 + 5 + 10 + 2}{4} \) = \( \frac{24}{4} \) = 6

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

5\( \sqrt{63} \) + 4\( \sqrt{7} \)
5\( \sqrt{9 \times 7} \) + 4\( \sqrt{7} \)
5\( \sqrt{3^2 \times 7} \) + 4\( \sqrt{7} \)
(5)(3)\( \sqrt{7} \) + 4\( \sqrt{7} \)
15\( \sqrt{7} \) + 4\( \sqrt{7} \)

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

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

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