| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
In a class of 30 students, 11 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 19 | |
| 24 | |
| 11 | |
| 14 |
The number of students taking German or Spanish is 11 + 8 = 19. Of that group of 19, 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 19 - 3 = 16 who are taking at least one language. 30 - 16 = 14 students who are not taking either language.
What is (z5)3?
| z15 | |
| 5z3 | |
| 3z5 | |
| z-2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)3Which of the following is not an integer?
0 |
|
-1 |
|
\({1 \over 2}\) |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is 4a7 - 3a7?
| a-7 | |
| -a7 | |
| a7 | |
| 7a14 |
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:
4a7 - 3a7
(4 - 3)a7
a7
A triathlon course includes a 300m swim, a 50.3km bike ride, and a 11.4km run. What is the total length of the race course?
| 62.1km | |
| 48.2km | |
| 36.8km | |
| 62km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 50.3km + 11.4km
total distance = 62km