| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
The total water usage for a city is 15,000 gallons each day. Of that total, 30% is for personal use and 59% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 16,000 | |
| 2,800 | |
| 4,350 | |
| 500 |
59% of the water consumption is industrial use and 30% is personal use so (59% - 30%) = 29% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{29}{100} \) x 15,000 gallons = 4,350 gallons.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
absolute value |
|
least common multiple |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of these numbers is a factor of 72?
| 32 | |
| 54 | |
| 34 | |
| 1 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Solve for \( \frac{4!}{2!} \)
| 5 | |
| 12 | |
| \( \frac{1}{9} \) | |
| 72 |
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:
\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12
Which of the following is not an integer?
0 |
|
1 |
|
\({1 \over 2}\) |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.