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

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

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

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

You have 17 out of the total of 250 raffle tickets sold so you have a (\( \frac{17}{250} \)) x 100 = \( \frac{17 \times 100}{250} \) = \( \frac{1700}{250} \) = 7% chance to win the raffle.

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $600
i = 0.02 x $600

No payments were made so the total amount due is the original amount + the accumulated interest:

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

\( \frac{11 + 5 + 12 + 4}{4} \) = \( \frac{32}{4} \) = 8