| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 49,000 seats in a stadium are filled, how many home fans are in attendance?
| 38,400 | |
| 39,200 | |
| 27,000 | |
| 36,000 |
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:
49,000 fans x \( \frac{4}{5} \) = \( \frac{196000}{5} \) = 39,200 fans.
A factor is a positive __________ that divides evenly into a given number.
integer |
|
mixed number |
|
improper fraction |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Find the average of the following numbers: 8, 6, 9, 5.
| 5 | |
| 11 | |
| 3 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{8 + 6 + 9 + 5}{4} \) = \( \frac{28}{4} \) = 7
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common factor |
|
greatest common multiple |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is -5z5 x 6z7?
| -30z2 | |
| z5 | |
| -30z7 | |
| -30z12 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-5z5 x 6z7
(-5 x 6)z(5 + 7)
-30z12