| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.69 |
| Score | 0% | 74% |
What is the distance in miles of a trip that takes 9 hours at an average speed of 75 miles per hour?
| 90 miles | |
| 130 miles | |
| 675 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 = \( 75mph \times 9h \)
675 miles
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
absolute value |
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least common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Alex buys two shirts, each with a regular price of $37, how much money will he save?
| $1.85 | |
| $14.80 | |
| $11.10 | |
| $5.55 |
By buying two shirts, Alex will save $37 x \( \frac{15}{100} \) = \( \frac{$37 x 15}{100} \) = \( \frac{$555}{100} \) = $5.55 on the second shirt.
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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distributive property for division |
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distributive property for multiplication |
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commutative property for division |
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.
How many hours does it take a car to travel 450 miles at an average speed of 75 miles per hour?
| 8 hours | |
| 4 hours | |
| 7 hours | |
| 6 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{450mi}{75mph} \)
6 hours