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

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

3\( \sqrt{4} \) x 3\( \sqrt{5} \)
(3 x 3)\( \sqrt{4 \times 5} \)
9\( \sqrt{20} \)

Now we need to simplify the radical:

9\( \sqrt{20} \)
9\( \sqrt{5 \times 4} \)
9\( \sqrt{5 \times 2^2} \)
(9)(2)\( \sqrt{5} \)
18\( \sqrt{5} \)

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

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 $1,000
i = 0.04 x $1,000
i = $40

You have 31 out of the total of 350 raffle tickets sold so you have a (\( \frac{31}{350} \)) x 100 = \( \frac{31 \times 100}{350} \) = \( \frac{3100}{350} \) = 9% chance to win the raffle.