| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
What is the distance in miles of a trip that takes 3 hours at an average speed of 75 miles per hour?
| 275 miles | |
| 385 miles | |
| 225 miles | |
| 120 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 = \( 75mph \times 3h \)
225 miles
How many 11-passenger vans will it take to drive all 97 members of the football team to an away game?
| 17 vans | |
| 4 vans | |
| 6 vans | |
| 9 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{97}{11} \) = 8\(\frac{9}{11}\)
So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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absolute value |
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least common multiple |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 36,000 seats in a stadium are filled, how many home fans are in attendance?
| 28,333 | |
| 28,800 | |
| 32,000 | |
| 35,250 |
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:
36,000 fans x \( \frac{4}{5} \) = \( \frac{144000}{5} \) = 28,800 fans.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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distributive |
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associative |
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PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.