| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
A bread recipe calls for 3\(\frac{3}{4}\) cups of flour. If you only have \(\frac{1}{8}\) cup, how much more flour is needed?
| 3\(\frac{5}{8}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| \(\frac{7}{8}\) cups |
The amount of flour you need is (3\(\frac{3}{4}\) - \(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{30}{8} \) - \( \frac{1}{8} \)) cups
\( \frac{29}{8} \) cups
3\(\frac{5}{8}\) cups
Simplify \( \sqrt{80} \)
| 8\( \sqrt{5} \) | |
| 6\( \sqrt{5} \) | |
| 4\( \sqrt{5} \) | |
| 6\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{80} \)
\( \sqrt{16 \times 5} \)
\( \sqrt{4^2 \times 5} \)
4\( \sqrt{5} \)
If all of a roofing company's 8 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 4 complete crews out on jobs?
| 18 | |
| 8 | |
| 9 | |
| 3 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 2 crews so there are \( \frac{8}{2} \) = 4 workers on a crew. 4 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 4 x 4 = 16 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 16 - 8 = 8 new staff for the busy season.
A tiger in a zoo has consumed 56 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 80 pounds?
| 3 | |
| 9 | |
| 5 | |
| 4 |
If the tiger has consumed 56 pounds of food in 7 days that's \( \frac{56}{7} \) = 8 pounds of food per day. The tiger needs to consume 80 - 56 = 24 more pounds of food to reach 80 pounds total. At 8 pounds of food per day that's \( \frac{24}{8} \) = 3 more days.
Find the average of the following numbers: 14, 8, 13, 9.
| 7 | |
| 12 | |
| 11 | |
| 16 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 8 + 13 + 9}{4} \) = \( \frac{44}{4} \) = 11