| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
If all of a roofing company's 20 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?
| 3 | |
| 13 | |
| 6 | |
| 20 |
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 20 workers at the company now and that's enough to staff 5 crews so there are \( \frac{20}{5} \) = 4 workers on a crew. 10 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 10 x 4 = 40 total workers to staff the crews during the busy season. The company already employs 20 workers so they need to add 40 - 20 = 20 new staff for the busy season.
A tiger in a zoo has consumed 48 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 108 pounds?
| 5 | |
| 6 | |
| 7 | |
| 9 |
If the tiger has consumed 48 pounds of food in 4 days that's \( \frac{48}{4} \) = 12 pounds of food per day. The tiger needs to consume 108 - 48 = 60 more pounds of food to reach 108 pounds total. At 12 pounds of food per day that's \( \frac{60}{12} \) = 5 more days.
How many 1 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 3 | |
| 5 | |
| 4 | |
| 8 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4
Simplify \( \sqrt{18} \)
| 5\( \sqrt{2} \) | |
| 3\( \sqrt{2} \) | |
| 6\( \sqrt{2} \) | |
| 2\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 41 | |
| 44 | |
| 46 | |
| 54 |
The equation for this sequence is:
an = an-1 + 9
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 9
a6 = 37 + 9
a6 = 46