| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Monica scored 76% on her final exam. If each question was worth 4 points and there were 360 possible points on the exam, how many questions did Monica answer correctly?
| 68 | |
| 77 | |
| 72 | |
| 63 |
Monica scored 76% on the test meaning she earned 76% of the possible points on the test. There were 360 possible points on the test so she earned 360 x 0.76 = 272 points. Each question is worth 4 points so she got \( \frac{272}{4} \) = 68 questions right.
Convert c-5 to remove the negative exponent.
| \( \frac{1}{c^{-5}} \) | |
| \( \frac{1}{c^5} \) | |
| \( \frac{-5}{-c} \) | |
| \( \frac{5}{c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
In a class of 35 students, 12 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 30 | |
| 11 | |
| 29 | |
| 13 |
The number of students taking German or Spanish is 12 + 15 = 27. Of that group of 27, 3 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 27 - 3 = 24 who are taking at least one language. 35 - 24 = 11 students who are not taking either language.
What is -8y3 - 9y3?
| 17y3 | |
| y9 | |
| y6 | |
| -17y3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-8y3 - 9y3
(-8 - 9)y3
-17y3
What is (z2)2?
| 2z2 | |
| 34 | |
| z0 | |
| z4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z2)2