| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.85 |
| Score | 0% | 77% |
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
mixed number |
|
integer |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is the greatest common factor of 44 and 28?
| 11 | |
| 5 | |
| 19 | |
| 4 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 28 have in common.
What is the least common multiple of 5 and 7?
| 12 | |
| 2 | |
| 35 | |
| 22 |
The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [35, 70] making 35 the smallest multiple 5 and 7 have in common.
How many hours does it take a car to travel 75 miles at an average speed of 25 miles per hour?
| 1 hour | |
| 8 hours | |
| 3 hours | |
| 2 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 = \( \frac{75mi}{25mph} \)
3 hours
Ezra loaned Damon $800 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $72 | |
| $84 | |
| $40 | |
| $24 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $800
i = 0.05 x $800
i = $40