| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
The total water usage for a city is 40,000 gallons each day. Of that total, 20% is for personal use and 34% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,600 | |
| 11,700 | |
| 8,400 | |
| 3,600 |
34% of the water consumption is industrial use and 20% is personal use so (34% - 20%) = 14% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{14}{100} \) x 40,000 gallons = 5,600 gallons.
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
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commutative property for division |
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commutative property for multiplication |
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distributive 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.
What is the distance in miles of a trip that takes 5 hours at an average speed of 40 miles per hour?
| 450 miles | |
| 200 miles | |
| 35 miles | |
| 400 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 = \( 40mph \times 5h \)
200 miles
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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least common factor |
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greatest common factor |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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fraction |
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integer |
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improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.