| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
In a class of 27 students, 14 are taking German and 7 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 23 | |
| 18 | |
| 14 | |
| 8 |
The number of students taking German or Spanish is 14 + 7 = 21. Of that group of 21, 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 21 - 2 = 19 who are taking at least one language. 27 - 19 = 8 students who are not taking either language.
How many hours does it take a car to travel 175 miles at an average speed of 25 miles per hour?
| 5 hours | |
| 8 hours | |
| 2 hours | |
| 7 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 = \( \frac{175mi}{25mph} \)
7 hours
Simplify \( \sqrt{112} \)
| 8\( \sqrt{7} \) | |
| 4\( \sqrt{14} \) | |
| 4\( \sqrt{7} \) | |
| 6\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 35,000 seats in a stadium are filled, how many home fans are in attendance?
| 31,500 | |
| 29,250 | |
| 27,750 | |
| 28,000 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
35,000 fans x \( \frac{4}{5} \) = \( \frac{140000}{5} \) = 28,000 fans.
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
integer |
|
mixed number |
|
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.