| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
What is the greatest common factor of 68 and 24?
| 24 | |
| 14 | |
| 13 | |
| 4 |
The factors of 68 are [1, 2, 4, 17, 34, 68] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 3 factors [1, 2, 4] making 4 the greatest factor 68 and 24 have in common.
If a mayor is elected with 83% of the votes cast and 70% of a town's 22,000 voters cast a vote, how many votes did the mayor receive?
| 12,782 | |
| 10,780 | |
| 13,090 | |
| 10,626 |
If 70% of the town's 22,000 voters cast ballots the number of votes cast is:
(\( \frac{70}{100} \)) x 22,000 = \( \frac{1,540,000}{100} \) = 15,400
The mayor got 83% of the votes cast which is:
(\( \frac{83}{100} \)) x 15,400 = \( \frac{1,278,200}{100} \) = 12,782 votes.
What is the least common multiple of 3 and 5?
| 8 | |
| 15 | |
| 5 | |
| 12 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 have in common.
Convert b-3 to remove the negative exponent.
| \( \frac{-1}{b^{-3}} \) | |
| \( \frac{-1}{-3b} \) | |
| \( \frac{-1}{-3b^{3}} \) | |
| \( \frac{1}{b^3} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
How many 1 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 4 | |
| 7 | |
| 5 | |
| 9 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4