Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.27 |
Score | 0% | 65% |
If all of a roofing company's 16 workers are required to staff 4 roofing crews, how many workers need to be added during the busy season in order to send 9 complete crews out on jobs?
20 | |
9 | |
10 | |
14 |
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 16 workers at the company now and that's enough to staff 4 crews so there are \( \frac{16}{4} \) = 4 workers on a crew. 9 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 9 x 4 = 36 total workers to staff the crews during the busy season. The company already employs 16 workers so they need to add 36 - 16 = 20 new staff for the busy season.
What is \( \frac{63\sqrt{27}}{9\sqrt{9}} \)?
7 \( \sqrt{\frac{1}{3}} \) | |
7 \( \sqrt{3} \) | |
\(\frac{1}{3}\) \( \sqrt{7} \) | |
\(\frac{1}{3}\) \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{63\sqrt{27}}{9\sqrt{9}} \)
\( \frac{63}{9} \) \( \sqrt{\frac{27}{9}} \)
7 \( \sqrt{3} \)
What is -4b6 + 2b6?
6b6 | |
-2b12 | |
-2b-12 | |
-2b6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-4b6 + 2b6
(-4 + 2)b6
-2b6
If there were a total of 100 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
10% | |
7% | |
5% | |
3% |
You have 7 out of the total of 100 raffle tickets sold so you have a (\( \frac{7}{100} \)) x 100 = \( \frac{7 \times 100}{100} \) = \( \frac{700}{100} \) = 7% chance to win the raffle.
What is 8c2 x 7c3?
56c-1 | |
56c3 | |
56c5 | |
15c6 |
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:
8c2 x 7c3
(8 x 7)c(2 + 3)
56c5