| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 3 | |
| 7 | |
| 6 | |
| 8 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
If a car travels 315 miles in 9 hours, what is the average speed?
| 40 mph | |
| 15 mph | |
| 35 mph | |
| 60 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)A bread recipe calls for 2\(\frac{5}{8}\) cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| 1\(\frac{1}{8}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 1 cups | |
| 2\(\frac{7}{8}\) cups |
The amount of flour you need is (2\(\frac{5}{8}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{21}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{9}{8} \) cups
1\(\frac{1}{8}\) cups
What is the greatest common factor of 44 and 76?
| 8 | |
| 4 | |
| 42 | |
| 36 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 76 have in common.