| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
What is the distance in miles of a trip that takes 7 hours at an average speed of 65 miles per hour?
| 70 miles | |
| 560 miles | |
| 455 miles | |
| 90 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 65mph \times 7h \)
455 miles
How many 6-passenger vans will it take to drive all 83 members of the football team to an away game?
| 14 vans | |
| 4 vans | |
| 5 vans | |
| 11 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{83}{6} \) = 13\(\frac{5}{6}\)
So, it will take 13 full vans and one partially full van to transport the entire team making a total of 14 vans.
What is 6c5 x c3?
| 6c15 | |
| 7c8 | |
| 6c-2 | |
| 6c8 |
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:
6c5 x c3
(6 x 1)c(5 + 3)
6c8
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.
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 30 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?
| 43 | |
| 25 | |
| 26 | |
| 34 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{40}{100} \) = \( \frac{40 x 30}{100} \) = \( \frac{1200}{100} \) = 12 shots
The center makes 35% 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 = \( \frac{12}{\frac{35}{100}} \) = 12 x \( \frac{100}{35} \) = \( \frac{12 x 100}{35} \) = \( \frac{1200}{35} \) = 34 shots
to make the same number of shots as the guard and thus score the same number of points.