| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
If all of a roofing company's 12 workers are required to staff 4 roofing crews, how many workers need to be added during the busy season in order to send 8 complete crews out on jobs?
| 11 | |
| 16 | |
| 12 | |
| 2 |
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 4 crews so there are \( \frac{12}{4} \) = 3 workers on a crew. 8 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 8 x 3 = 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.
The total water usage for a city is 35,000 gallons each day. Of that total, 17% is for personal use and 27% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 12,150 | |
| 3,500 | |
| 3,100 | |
| 3,300 |
27% of the water consumption is industrial use and 17% is personal use so (27% - 17%) = 10% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{10}{100} \) x 35,000 gallons = 3,500 gallons.
If there were a total of 200 raffle tickets sold and you bought 18 tickets, what's the probability that you'll win the raffle?
| 10% | |
| 9% | |
| 6% | |
| 5% |
You have 18 out of the total of 200 raffle tickets sold so you have a (\( \frac{18}{200} \)) x 100 = \( \frac{18 \times 100}{200} \) = \( \frac{1800}{200} \) = 9% chance to win the raffle.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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associative |
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distributive |
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commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
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a = 7 or a = -7 |
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a = -7 |
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none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).