| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
What is \( \frac{4}{6} \) x \( \frac{4}{6} \)?
| \(\frac{2}{7}\) | |
| \(\frac{4}{9}\) | |
| \(\frac{3}{14}\) | |
| \(\frac{1}{18}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{4}{6} \) = \( \frac{4 x 4}{6 x 6} \) = \( \frac{16}{36} \) = \(\frac{4}{9}\)
A tiger in a zoo has consumed 20 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 55 pounds?
| 4 | |
| 7 | |
| 9 | |
| 2 |
If the tiger has consumed 20 pounds of food in 4 days that's \( \frac{20}{4} \) = 5 pounds of food per day. The tiger needs to consume 55 - 20 = 35 more pounds of food to reach 55 pounds total. At 5 pounds of food per day that's \( \frac{35}{5} \) = 7 more days.
Which of these numbers is a factor of 28?
| 10 | |
| 14 | |
| 25 | |
| 22 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.
What is \( 6 \)\( \sqrt{45} \) - \( 8 \)\( \sqrt{5} \)
| 48\( \sqrt{45} \) | |
| 48\( \sqrt{225} \) | |
| 10\( \sqrt{5} \) | |
| -2\( \sqrt{16} \) |
To subtract these radicals together their radicands must be the same:
6\( \sqrt{45} \) - 8\( \sqrt{5} \)
6\( \sqrt{9 \times 5} \) - 8\( \sqrt{5} \)
6\( \sqrt{3^2 \times 5} \) - 8\( \sqrt{5} \)
(6)(3)\( \sqrt{5} \) - 8\( \sqrt{5} \)
18\( \sqrt{5} \) - 8\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
18\( \sqrt{5} \) - 8\( \sqrt{5} \)Simplify \( \sqrt{80} \)
| 4\( \sqrt{5} \) | |
| 5\( \sqrt{5} \) | |
| 9\( \sqrt{5} \) | |
| 2\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)