| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is \( \frac{3}{8} \) x \( \frac{2}{9} \)?
| \(\frac{2}{81}\) | |
| \(\frac{3}{10}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{1}{12}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{2}{9} \) = \( \frac{3 x 2}{8 x 9} \) = \( \frac{6}{72} \) = \(\frac{1}{12}\)
Ezra loaned Charlie $1,200 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $36 | |
| $96 | |
| $20 | |
| $4 |
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 $1,200
i = 0.08 x $1,200
i = $96
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Alex buys two shirts, each with a regular price of $21, how much will he pay for both shirts?
| $40.95 | |
| $19.95 | |
| $31.50 | |
| $1.05 |
By buying two shirts, Alex will save $21 x \( \frac{5}{100} \) = \( \frac{$21 x 5}{100} \) = \( \frac{$105}{100} \) = $1.05 on the second shirt.
So, his total cost will be
$21.00 + ($21.00 - $1.05)
$21.00 + $19.95
$40.95
| 1 | |
| 2.7 | |
| 2.0 | |
| 5.0 |
1
What is \( \frac{18\sqrt{36}}{6\sqrt{9}} \)?
| 3 \( \sqrt{\frac{1}{4}} \) | |
| 3 \( \sqrt{4} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{4}} \) | |
| \(\frac{1}{4}\) \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{18\sqrt{36}}{6\sqrt{9}} \)
\( \frac{18}{6} \) \( \sqrt{\frac{36}{9}} \)
3 \( \sqrt{4} \)