| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
What is \( \frac{1}{9} \) ÷ \( \frac{2}{9} \)?
| \(\frac{3}{35}\) | |
| \(\frac{2}{21}\) | |
| 1 | |
| \(\frac{1}{2}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{9} \) ÷ \( \frac{2}{9} \) = \( \frac{1}{9} \) x \( \frac{9}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{9}{2} \) = \( \frac{1 x 9}{9 x 2} \) = \( \frac{9}{18} \) = \(\frac{1}{2}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Monty buys two shirts, each with a regular price of $18, how much will he pay for both shirts?
| $27.00 | |
| $22.50 | |
| $25.20 | |
| $23.40 |
By buying two shirts, Monty will save $18 x \( \frac{50}{100} \) = \( \frac{$18 x 50}{100} \) = \( \frac{$900}{100} \) = $9.00 on the second shirt.
So, his total cost will be
$18.00 + ($18.00 - $9.00)
$18.00 + $9.00
$27.00
If there were a total of 400 raffle tickets sold and you bought 32 tickets, what's the probability that you'll win the raffle?
| 8% | |
| 5% | |
| 3% | |
| 12% |
You have 32 out of the total of 400 raffle tickets sold so you have a (\( \frac{32}{400} \)) x 100 = \( \frac{32 \times 100}{400} \) = \( \frac{3200}{400} \) = 8% chance to win the raffle.
What is \( 9 \)\( \sqrt{125} \) - \( 6 \)\( \sqrt{5} \)
| 54\( \sqrt{125} \) | |
| 3\( \sqrt{125} \) | |
| 39\( \sqrt{5} \) | |
| 3\( \sqrt{625} \) |
To subtract these radicals together their radicands must be the same:
9\( \sqrt{125} \) - 6\( \sqrt{5} \)
9\( \sqrt{25 \times 5} \) - 6\( \sqrt{5} \)
9\( \sqrt{5^2 \times 5} \) - 6\( \sqrt{5} \)
(9)(5)\( \sqrt{5} \) - 6\( \sqrt{5} \)
45\( \sqrt{5} \) - 6\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
45\( \sqrt{5} \) - 6\( \sqrt{5} \)What is -z5 x 4z2?
| 3z7 | |
| -4z2 | |
| -4z-3 | |
| -4z7 |
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:
-z5 x 4z2
(-1 x 4)z(5 + 2)
-4z7