| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Find the average of the following numbers: 11, 7, 12, 6.
| 9 | |
| 7 | |
| 8 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 7 + 12 + 6}{4} \) = \( \frac{36}{4} \) = 9
4! = ?
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
|
4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
A bread recipe calls for 2\(\frac{5}{8}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{1}{2}\) cups | |
| 1\(\frac{1}{4}\) cups | |
| 1\(\frac{3}{4}\) cups |
The amount of flour you need is (2\(\frac{5}{8}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{21}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{10}{8} \) cups
1\(\frac{1}{4}\) cups
What is \( 6 \)\( \sqrt{12} \) - \( 2 \)\( \sqrt{3} \)
| 4\( \sqrt{12} \) | |
| 4\( \sqrt{36} \) | |
| 10\( \sqrt{3} \) | |
| 4\( \sqrt{5} \) |
To subtract these radicals together their radicands must be the same:
6\( \sqrt{12} \) - 2\( \sqrt{3} \)
6\( \sqrt{4 \times 3} \) - 2\( \sqrt{3} \)
6\( \sqrt{2^2 \times 3} \) - 2\( \sqrt{3} \)
(6)(2)\( \sqrt{3} \) - 2\( \sqrt{3} \)
12\( \sqrt{3} \) - 2\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
12\( \sqrt{3} \) - 2\( \sqrt{3} \)If all of a roofing company's 12 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?
| 12 | |
| 9 | |
| 10 | |
| 11 |
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 12 workers at the company now and that's enough to staff 3 crews so there are \( \frac{12}{3} \) = 4 workers on a crew. 6 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 6 x 4 = 24 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 24 - 12 = 12 new staff for the busy season.