| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Christine scored 88% on her final exam. If each question was worth 2 points and there were 80 possible points on the exam, how many questions did Christine answer correctly?
| 38 | |
| 35 | |
| 29 | |
| 44 |
Christine scored 88% on the test meaning she earned 88% of the possible points on the test. There were 80 possible points on the test so she earned 80 x 0.88 = 70 points. Each question is worth 2 points so she got \( \frac{70}{2} \) = 35 questions right.
Solve for \( \frac{6!}{4!} \)
| 15120 | |
| \( \frac{1}{72} \) | |
| 30 | |
| 72 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{4!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{6 \times 5}{1} \)
\( 6 \times 5 \)
30
What is \( \frac{4}{5} \) x \( \frac{3}{6} \)?
| 2 | |
| \(\frac{2}{35}\) | |
| \(\frac{2}{5}\) | |
| \(\frac{1}{8}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{3}{6} \) = \( \frac{4 x 3}{5 x 6} \) = \( \frac{12}{30} \) = \(\frac{2}{5}\)
What is \( \frac{1}{7} \) ÷ \( \frac{3}{5} \)?
| \(\frac{2}{9}\) | |
| 1\(\frac{2}{3}\) | |
| \(\frac{5}{21}\) | |
| \(\frac{3}{14}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{7} \) ÷ \( \frac{3}{5} \) = \( \frac{1}{7} \) x \( \frac{5}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{7} \) x \( \frac{5}{3} \) = \( \frac{1 x 5}{7 x 3} \) = \( \frac{5}{21} \) = \(\frac{5}{21}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Monty buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $10.75 | |
| $75.25 | |
| $32.25 | |
| $60.20 |
By buying two shirts, Monty will save $43 x \( \frac{25}{100} \) = \( \frac{$43 x 25}{100} \) = \( \frac{$1075}{100} \) = $10.75 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $10.75)
$43.00 + $32.25
$75.25