| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Find the average of the following numbers: 10, 2, 7, 5.
| 6 | |
| 5 | |
| 8 | |
| 4 |
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
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 30% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 24 | |
| 12 | |
| 21 | |
| 15 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{30}{100} \) = \( \frac{30 x 20}{100} \) = \( \frac{600}{100} \) = 6 shots
The center makes 25% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{6}{\frac{25}{100}} \) = 6 x \( \frac{100}{25} \) = \( \frac{6 x 100}{25} \) = \( \frac{600}{25} \) = 24 shots
to make the same number of shots as the guard and thus score the same number of points.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
absolute value |
|
least common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
How many 14-passenger vans will it take to drive all 40 members of the football team to an away game?
| 5 vans | |
| 6 vans | |
| 3 vans | |
| 10 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{40}{14} \) = 2\(\frac{6}{7}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
greatest common factor |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.