| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Which of the following is not a prime number?
7 |
|
9 |
|
5 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Charlie loaned Roger $1,100 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?
| $15 | |
| $18 | |
| $60 | |
| $99 |
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 $1,100
i = 0.09 x $1,100
i = $99
In a class of 29 students, 10 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 23 | |
| 9 | |
| 22 |
The number of students taking German or Spanish is 10 + 14 = 24. Of that group of 24, 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 24 - 4 = 20 who are taking at least one language. 29 - 20 = 9 students who are not taking either language.
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common factor |
|
least common multiple |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Simplify \( \frac{32}{52} \).
| \( \frac{1}{2} \) | |
| \( \frac{10}{17} \) | |
| \( \frac{8}{13} \) | |
| \( \frac{9}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] 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:
\( \frac{32}{52} \) = \( \frac{\frac{32}{4}}{\frac{52}{4}} \) = \( \frac{8}{13} \)