| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Damon buys two shirts, each with a regular price of $37, how much money will he save?
| $5.55 | |
| $12.95 | |
| $1.85 | |
| $14.80 |
By buying two shirts, Damon will save $37 x \( \frac{40}{100} \) = \( \frac{$37 x 40}{100} \) = \( \frac{$1480}{100} \) = $14.80 on the second shirt.
What is \( \frac{42\sqrt{18}}{6\sqrt{6}} \)?
| 3 \( \sqrt{7} \) | |
| \(\frac{1}{3}\) \( \sqrt{7} \) | |
| 7 \( \sqrt{3} \) | |
| 3 \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{42\sqrt{18}}{6\sqrt{6}} \)
\( \frac{42}{6} \) \( \sqrt{\frac{18}{6}} \)
7 \( \sqrt{3} \)
Which of these numbers is a factor of 36?
| 33 | |
| 30 | |
| 7 | |
| 1 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
What is \( \frac{3}{5} \) - \( \frac{3}{7} \)?
| \(\frac{6}{35}\) | |
| \( \frac{9}{13} \) | |
| 2 \( \frac{3}{35} \) | |
| 2 \( \frac{7}{35} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [35, 70] making 35 the smallest multiple 5 and 7 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 7}{5 x 7} \) - \( \frac{3 x 5}{7 x 5} \)
\( \frac{21}{35} \) - \( \frac{15}{35} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{21 - 15}{35} \) = \( \frac{6}{35} \) = \(\frac{6}{35}\)
What is (z5)5?
| z0 | |
| z10 | |
| 5z5 | |
| z25 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)5