| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
Solve for \( \frac{5!}{6!} \)
| 840 | |
| \( \frac{1}{6} \) | |
| 336 | |
| 60480 |
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:
\( \frac{5!}{6!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6} \)
\( \frac{1}{6} \)
15 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 5 | |
| 9 | |
| 33 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 15 people needing transportation leaving 15 - 10 = 5 who will have to find other transportation.
The total water usage for a city is 25,000 gallons each day. Of that total, 14% is for personal use and 24% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,200 | |
| 3,450 | |
| 2,500 | |
| 10,800 |
24% of the water consumption is industrial use and 14% is personal use so (24% - 14%) = 10% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{10}{100} \) x 25,000 gallons = 2,500 gallons.
Find the average of the following numbers: 14, 12, 14, 12.
| 13 | |
| 9 | |
| 18 | |
| 15 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 12 + 14 + 12}{4} \) = \( \frac{52}{4} \) = 13
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.