| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
How many 6-passenger vans will it take to drive all 71 members of the football team to an away game?
| 12 vans | |
| 10 vans | |
| 3 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{71}{6} \) = 11\(\frac{5}{6}\)
So, it will take 11 full vans and one partially full van to transport the entire team making a total of 12 vans.
Which of these numbers is a factor of 40?
| 47 | |
| 42 | |
| 40 | |
| 33 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
What is the distance in miles of a trip that takes 3 hours at an average speed of 35 miles per hour?
| 120 miles | |
| 105 miles | |
| 180 miles | |
| 45 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 = \( 35mph \times 3h \)
105 miles
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
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distributive property for division |
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commutative property for division |
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commutative property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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least common factor |
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least common multiple |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.