| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is the least common multiple of 4 and 10?
| 23 | |
| 26 | |
| 3 | |
| 20 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [20, 40, 60, 80] making 20 the smallest multiple 4 and 10 have in common.
How many hours does it take a car to travel 450 miles at an average speed of 75 miles per hour?
| 6 hours | |
| 7 hours | |
| 3 hours | |
| 2 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{450mi}{75mph} \)
6 hours
Which of the following is not an integer?
-1 |
|
\({1 \over 2}\) |
|
1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Simplify \( \sqrt{75} \)
| 5\( \sqrt{3} \) | |
| 3\( \sqrt{6} \) | |
| 7\( \sqrt{6} \) | |
| 6\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)
If a mayor is elected with 88% of the votes cast and 87% of a town's 40,000 voters cast a vote, how many votes did the mayor receive?
| 26,100 | |
| 22,272 | |
| 26,448 | |
| 30,624 |
If 87% of the town's 40,000 voters cast ballots the number of votes cast is:
(\( \frac{87}{100} \)) x 40,000 = \( \frac{3,480,000}{100} \) = 34,800
The mayor got 88% of the votes cast which is:
(\( \frac{88}{100} \)) x 34,800 = \( \frac{3,062,400}{100} \) = 30,624 votes.