| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
If all of a roofing company's 6 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 8 | |
| 4 | |
| 15 | |
| 19 |
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 6 workers at the company now and that's enough to staff 2 crews so there are \( \frac{6}{2} \) = 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 6 workers so they need to add 21 - 6 = 15 new staff for the busy season.
How many hours does it take a car to travel 260 miles at an average speed of 65 miles per hour?
| 4 hours | |
| 2 hours | |
| 1 hour | |
| 3 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{260mi}{65mph} \)
4 hours
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 6 | |
| 0 | |
| -3 | |
| 8 |
The equation for this sequence is:
an = an-1 + 1
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 + 1
a6 = 5 + 1
a6 = 6
In a class of 31 students, 9 are taking German and 9 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 17 | |
| 15 | |
| 11 |
The number of students taking German or Spanish is 9 + 9 = 18. Of that group of 18, 2 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 - 2 = 16 who are taking at least one language. 31 - 16 = 15 students who are not taking either language.
Convert 7,516,000 to scientific notation.
| 7.516 x 106 | |
| 75.16 x 105 | |
| 7.516 x 10-6 | |
| 7.516 x 107 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
7,516,000 in scientific notation is 7.516 x 106