| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
What is \( \sqrt{\frac{9}{64}} \)?
| 1\(\frac{1}{5}\) | |
| \(\frac{2}{3}\) | |
| 2 | |
| \(\frac{3}{8}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)
If there were a total of 150 raffle tickets sold and you bought 13 tickets, what's the probability that you'll win the raffle?
| 7% | |
| 9% | |
| 12% | |
| 6% |
You have 13 out of the total of 150 raffle tickets sold so you have a (\( \frac{13}{150} \)) x 100 = \( \frac{13 \times 100}{150} \) = \( \frac{1300}{150} \) = 9% chance to win the raffle.
If all of a roofing company's 15 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 10 complete crews out on jobs?
| 9 | |
| 4 | |
| 11 | |
| 15 |
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 15 workers at the company now and that's enough to staff 5 crews so there are \( \frac{15}{5} \) = 3 workers on a crew. 10 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 10 x 3 = 30 total workers to staff the crews during the busy season. The company already employs 15 workers so they need to add 30 - 15 = 15 new staff for the busy season.
The __________ is the greatest factor that divides two integers.
least common multiple |
|
absolute value |
|
greatest common multiple |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
In a class of 28 students, 5 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 17 | |
| 16 | |
| 14 | |
| 18 |
The number of students taking German or Spanish is 5 + 13 = 18. Of that group of 18, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 18 - 4 = 14 who are taking at least one language. 28 - 14 = 14 students who are not taking either language.