| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
How many hours does it take a car to travel 45 miles at an average speed of 45 miles per hour?
| 8 hours | |
| 4 hours | |
| 1 hour | |
| 5 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 = \( \frac{45mi}{45mph} \)
1 hour
Latoya scored 76% on her final exam. If each question was worth 4 points and there were 280 possible points on the exam, how many questions did Latoya answer correctly?
| 66 | |
| 65 | |
| 53 | |
| 62 |
Latoya scored 76% on the test meaning she earned 76% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.76 = 212 points. Each question is worth 4 points so she got \( \frac{212}{4} \) = 53 questions right.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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distributive |
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PEDMAS |
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commutative |
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.
If \( \left|a - 8\right| \) - 6 = 9, which of these is a possible value for a?
| -5 | |
| 23 | |
| 2 | |
| 16 |
First, solve for \( \left|a - 8\right| \):
\( \left|a - 8\right| \) - 6 = 9
\( \left|a - 8\right| \) = 9 + 6
\( \left|a - 8\right| \) = 15
The value inside the absolute value brackets can be either positive or negative so (a - 8) must equal + 15 or -15 for \( \left|a - 8\right| \) to equal 15:
| a - 8 = 15 a = 15 + 8 a = 23 | a - 8 = -15 a = -15 + 8 a = -7 |
So, a = -7 or a = 23.
In a class of 36 students, 14 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 31 | |
| 28 | |
| 15 | |
| 23 |
The number of students taking German or Spanish is 14 + 11 = 25. Of that group of 25, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 25 - 4 = 21 who are taking at least one language. 36 - 21 = 15 students who are not taking either language.