| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.69 |
| Score | 0% | 74% |
How many 2 gallon cans worth of fuel would you need to pour into an empty 12 gallon tank to fill it exactly halfway?
| 4 | |
| 5 | |
| 3 | |
| 6 |
To fill a 12 gallon tank exactly halfway you'll need 6 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{6 \text{ gallons}}{2 \text{ gallons}} \) = 3
What is (y5)3?
| y8 | |
| y15 | |
| 5y3 | |
| y-2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y5)3If a car travels 490 miles in 7 hours, what is the average speed?
| 15 mph | |
| 70 mph | |
| 50 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)How many 15-passenger vans will it take to drive all 98 members of the football team to an away game?
| 11 vans | |
| 6 vans | |
| 4 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{98}{15} \) = 6\(\frac{8}{15}\)
So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.
What is the least common multiple of 3 and 7?
| 11 | |
| 21 | |
| 4 | |
| 9 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] 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 [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 have in common.