| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
What is the distance in miles of a trip that takes 6 hours at an average speed of 55 miles per hour?
| 600 miles | |
| 70 miles | |
| 330 miles | |
| 200 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 6h \)
330 miles
14 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 3 | |
| 5 | |
| 7 |
There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 14 people needing transportation leaving 14 - 12 = 2 who will have to find other transportation.
If all of a roofing company's 9 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 5 | |
| 8 | |
| 12 | |
| 9 |
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 9 workers at the company now and that's enough to staff 3 crews so there are \( \frac{9}{3} \) = 3 workers on a crew. 7 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 7 x 3 = 21 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 21 - 9 = 12 new staff for the busy season.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
least common multiple |
|
greatest common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is 3\( \sqrt{8} \) x 7\( \sqrt{4} \)?
| 21\( \sqrt{12} \) | |
| 21\( \sqrt{8} \) | |
| 10\( \sqrt{4} \) | |
| 84\( \sqrt{2} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{8} \) x 7\( \sqrt{4} \)
(3 x 7)\( \sqrt{8 \times 4} \)
21\( \sqrt{32} \)
Now we need to simplify the radical:
21\( \sqrt{32} \)
21\( \sqrt{2 \times 16} \)
21\( \sqrt{2 \times 4^2} \)
(21)(4)\( \sqrt{2} \)
84\( \sqrt{2} \)