| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
Simplify \( \sqrt{45} \)
| 4\( \sqrt{10} \) | |
| 7\( \sqrt{5} \) | |
| 3\( \sqrt{5} \) | |
| 9\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{45} \)
\( \sqrt{9 \times 5} \)
\( \sqrt{3^2 \times 5} \)
3\( \sqrt{5} \)
In a class of 21 students, 11 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?
| 9 | |
| 16 | |
| 15 | |
| 17 |
The number of students taking German or Spanish is 11 + 5 = 16. Of that group of 16, 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 16 - 4 = 12 who are taking at least one language. 21 - 12 = 9 students who are not taking either language.
Which of these numbers is a factor of 56?
| 8 | |
| 41 | |
| 42 | |
| 7 |
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.
Charlie loaned Damon $100 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $28 | |
| $5 | |
| $9 | |
| $8 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $100
i = 0.09 x $100
i = $9
If a car travels 260 miles in 4 hours, what is the average speed?
| 15 mph | |
| 35 mph | |
| 65 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)