| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.73 |
| Score | 0% | 75% |
How many hours does it take a car to travel 50 miles at an average speed of 50 miles per hour?
| 6 hours | |
| 5 hours | |
| 3 hours | |
| 1 hour |
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 = \( \frac{50mi}{50mph} \)
1 hour
Simplify \( \frac{28}{52} \).
| \( \frac{6}{19} \) | |
| \( \frac{7}{13} \) | |
| \( \frac{3}{4} \) | |
| \( \frac{7}{15} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{52} \) = \( \frac{\frac{28}{4}}{\frac{52}{4}} \) = \( \frac{7}{13} \)
In a class of 27 students, 8 are taking German and 9 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 12 | |
| 24 | |
| 10 | |
| 19 |
The number of students taking German or Spanish is 8 + 9 = 17. Of that group of 17, 2 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 17 - 2 = 15 who are taking at least one language. 27 - 15 = 12 students who are not taking either language.
Convert z-5 to remove the negative exponent.
| \( \frac{-1}{-5z} \) | |
| \( \frac{-1}{z^{-5}} \) | |
| \( \frac{1}{z^5} \) | |
| \( \frac{5}{z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.