| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
If a mayor is elected with 78% of the votes cast and 78% of a town's 22,000 voters cast a vote, how many votes did the mayor receive?
| 13,042 | |
| 13,385 | |
| 10,468 | |
| 14,929 |
If 78% of the town's 22,000 voters cast ballots the number of votes cast is:
(\( \frac{78}{100} \)) x 22,000 = \( \frac{1,716,000}{100} \) = 17,160
The mayor got 78% of the votes cast which is:
(\( \frac{78}{100} \)) x 17,160 = \( \frac{1,338,480}{100} \) = 13,385 votes.
Convert b-4 to remove the negative exponent.
| \( \frac{1}{b^{-4}} \) | |
| \( \frac{-1}{b^{-4}} \) | |
| \( \frac{1}{b^4} \) | |
| \( \frac{4}{b} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A triathlon course includes a 300m swim, a 50.9km bike ride, and a 3.1km run. What is the total length of the race course?
| 35.7km | |
| 27.7km | |
| 38km | |
| 54.3km |
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 + 50.9km + 3.1km
total distance = 54.3km
In a class of 30 students, 13 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 10 | |
| 17 | |
| 21 |
The number of students taking German or Spanish is 13 + 11 = 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. 30 - 20 = 10 students who are not taking either language.
A factor is a positive __________ that divides evenly into a given number.
mixed number |
|
improper fraction |
|
integer |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.