| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
In a class of 23 students, 11 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 22 | |
| 16 | |
| 8 | |
| 12 |
The number of students taking German or Spanish is 11 + 8 = 19. Of that group of 19, 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 19 - 4 = 15 who are taking at least one language. 23 - 15 = 8 students who are not taking either language.
What is \( \frac{14\sqrt{35}}{2\sqrt{7}} \)?
| 5 \( \sqrt{7} \) | |
| 7 \( \sqrt{\frac{1}{5}} \) | |
| 7 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{35}}{2\sqrt{7}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{35}{7}} \)
7 \( \sqrt{5} \)
What is -6x3 + 7x3?
| -13x-3 | |
| 13x-3 | |
| 13x3 | |
| x3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-6x3 + 7x3
(-6 + 7)x3
x3
Monty loaned Monty $100 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $36 | |
| $3 | |
| $18 | |
| $88 |
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 = 0.03 x $100
i = $3
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
greatest common factor |
|
least common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.