You have 4 out of the total of 150 raffle tickets sold so you have a (\( \frac{4}{150} \)) x 100 = \( \frac{4 \times 100}{150} \) = \( \frac{400}{150} \) = 3% chance to win the raffle.

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{5} \) ÷ \( \frac{2}{5} \) = \( \frac{4}{5} \) x \( \frac{5}{2} \)

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

\( \frac{4}{5} \) x \( \frac{5}{2} \) = \( \frac{4 x 5}{5 x 2} \) = \( \frac{20}{10} \) = 2

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

6\( \sqrt{48} \) - 8\( \sqrt{3} \)
6\( \sqrt{16 \times 3} \) - 8\( \sqrt{3} \)
6\( \sqrt{4^2 \times 3} \) - 8\( \sqrt{3} \)
(6)(4)\( \sqrt{3} \) - 8\( \sqrt{3} \)
24\( \sqrt{3} \) - 8\( \sqrt{3} \)

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

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 $1,300
i = 0.02 x $1,300

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

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

5a⁷ x a⁴
(5 x 1)a^{(7 + 4)}
5a¹¹