| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
Monica scored 78% on her final exam. If each question was worth 3 points and there were 120 possible points on the exam, how many questions did Monica answer correctly?
| 33 | |
| 19 | |
| 20 | |
| 31 |
Monica scored 78% on the test meaning she earned 78% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.78 = 93 points. Each question is worth 3 points so she got \( \frac{93}{3} \) = 31 questions right.
How many hours does it take a car to travel 40 miles at an average speed of 20 miles per hour?
| 8 hours | |
| 2 hours | |
| 9 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 = \( \frac{40mi}{20mph} \)
2 hours
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
|
distributive property for division |
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commutative property for division |
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distributive 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.
A triathlon course includes a 200m swim, a 20.3km bike ride, and a 6.7km run. What is the total length of the race course?
| 29.6km | |
| 27.2km | |
| 37.3km | |
| 47.7km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 20.3km + 6.7km
total distance = 27.2km
A factor is a positive __________ that divides evenly into a given number.
integer |
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fraction |
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improper fraction |
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mixed number |
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.