| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
4! = ?
5 x 4 x 3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 |
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 the ratio of home fans to visiting fans in a crowd is 4:1 and all 37,000 seats in a stadium are filled, how many home fans are in attendance?
| 31,667 | |
| 29,600 | |
| 29,250 | |
| 27,750 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
37,000 fans x \( \frac{4}{5} \) = \( \frac{148000}{5} \) = 29,600 fans.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
absolute value |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
How many hours does it take a car to travel 675 miles at an average speed of 75 miles per hour?
| 9 hours | |
| 6 hours | |
| 3 hours | |
| 5 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{675mi}{75mph} \)
9 hours
What is (x3)2?
| x5 | |
| 3x2 | |
| 2x3 | |
| x6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x3)2