| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 45,000 seats in a stadium are filled, how many home fans are in attendance?
| 35,833 | |
| 37,500 | |
| 35,200 | |
| 30,000 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
45,000 fans x \( \frac{2}{3} \) = \( \frac{90000}{3} \) = 30,000 fans.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
least common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Find the average of the following numbers: 10, 2, 7, 5.
| 3 | |
| 6 | |
| 2 | |
| 9 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 2 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6
Solve for \( \frac{2!}{5!} \)
| \( \frac{1}{9} \) | |
| 210 | |
| 5 | |
| \( \frac{1}{60} \) |
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:
\( \frac{2!}{5!} \)
\( \frac{2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4 \times 3} \)
\( \frac{1}{60} \)
How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 3 | |
| 8 | |
| 7 | |
| 5 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3