| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
What is the least common multiple of 6 and 8?
| 24 | |
| 25 | |
| 45 | |
| 44 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.
How many 7-passenger vans will it take to drive all 48 members of the football team to an away game?
| 13 vans | |
| 7 vans | |
| 15 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{48}{7} \) = 6\(\frac{6}{7}\)
So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.
Solve for \( \frac{3!}{2!} \)
| 3 | |
| \( \frac{1}{3024} \) | |
| 6720 | |
| \( \frac{1}{30} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{3!}{2!} \)
\( \frac{3 \times 2 \times 1}{2 \times 1} \)
\( \frac{3}{1} \)
3
If a car travels 90 miles in 2 hours, what is the average speed?
| 45 mph | |
| 75 mph | |
| 65 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Which of the following statements about exponents is false?
b0 = 1 |
|
all of these are false |
|
b1 = 1 |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).