| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
In a class of 22 students, 15 are taking German and 5 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 18 | |
| 7 | |
| 15 |
The number of students taking German or Spanish is 15 + 5 = 20. Of that group of 20, 5 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 20 - 5 = 15 who are taking at least one language. 22 - 15 = 7 students who are not taking either language.
How many hours does it take a car to travel 480 miles at an average speed of 60 miles per hour?
| 2 hours | |
| 8 hours | |
| 3 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 = \( \frac{480mi}{60mph} \)
8 hours
Which of these numbers is a factor of 56?
| 26 | |
| 4 | |
| 30 | |
| 14 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
Simplify \( \sqrt{63} \)
| 7\( \sqrt{7} \) | |
| 3\( \sqrt{7} \) | |
| 3\( \sqrt{14} \) | |
| 7\( \sqrt{14} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{63} \)
\( \sqrt{9 \times 7} \)
\( \sqrt{3^2 \times 7} \)
3\( \sqrt{7} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Ezra buys two shirts, each with a regular price of $26, how much money will he save?
| $1.30 | |
| $2.60 | |
| $3.90 | |
| 51 |
By buying two shirts, Ezra will save $26 x \( \frac{10}{100} \) = \( \frac{$26 x 10}{100} \) = \( \frac{$260}{100} \) = $2.60 on the second shirt.