| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
What is the distance in miles of a trip that takes 5 hours at an average speed of 55 miles per hour?
| 480 miles | |
| 275 miles | |
| 270 miles | |
| 90 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 = \( 55mph \times 5h \)
275 miles
If \( \left|z + 7\right| \) - 4 = -9, which of these is a possible value for z?
| 11 | |
| 5 | |
| -2 | |
| 6 |
First, solve for \( \left|z + 7\right| \):
\( \left|z + 7\right| \) - 4 = -9
\( \left|z + 7\right| \) = -9 + 4
\( \left|z + 7\right| \) = -5
The value inside the absolute value brackets can be either positive or negative so (z + 7) must equal - 5 or --5 for \( \left|z + 7\right| \) to equal -5:
| z + 7 = -5 z = -5 - 7 z = -12 | z + 7 = 5 z = 5 - 7 z = -2 |
So, z = -2 or z = -12.
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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fraction |
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improper fraction |
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integer |
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.
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 5 | |
| 8 | |
| 10 | |
| 3 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5
In a class of 16 students, 7 are taking German and 5 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 15 | |
| 8 | |
| 12 | |
| 16 |
The number of students taking German or Spanish is 7 + 5 = 12. Of that group of 12, 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 12 - 4 = 8 who are taking at least one language. 16 - 8 = 8 students who are not taking either language.