| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
In a class of 28 students, 14 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 8 are taking both courses. How many students are not enrolled in either course?
| 12 | |
| 15 | |
| 23 | |
| 27 |
The number of students taking German or Spanish is 14 + 10 = 24. Of that group of 24, 8 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 - 8 = 16 who are taking at least one language. 28 - 16 = 12 students who are not taking either language.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
least common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is -7c3 + 9c3?
| 2c9 | |
| 16c-3 | |
| 2c-6 | |
| 2c3 |
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:
-7c3 + 9c3
(-7 + 9)c3
2c3
What is \( \frac{3}{6} \) x \( \frac{1}{7} \)?
| \(\frac{3}{7}\) | |
| \(\frac{1}{14}\) | |
| \(\frac{1}{15}\) | |
| \(\frac{1}{2}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{6} \) x \( \frac{1}{7} \) = \( \frac{3 x 1}{6 x 7} \) = \( \frac{3}{42} \) = \(\frac{1}{14}\)
What is \( \frac{56\sqrt{14}}{8\sqrt{7}} \)?
| 7 \( \sqrt{2} \) | |
| \(\frac{1}{7}\) \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{2}\) \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{56\sqrt{14}}{8\sqrt{7}} \)
\( \frac{56}{8} \) \( \sqrt{\frac{14}{7}} \)
7 \( \sqrt{2} \)