| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
How many hours does it take a car to travel 180 miles at an average speed of 20 miles per hour?
| 4 hours | |
| 5 hours | |
| 9 hours | |
| 1 hour |
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 = \( \frac{180mi}{20mph} \)
9 hours
If a mayor is elected with 75% of the votes cast and 58% of a town's 47,000 voters cast a vote, how many votes did the mayor receive?
| 23,444 | |
| 22,898 | |
| 20,445 | |
| 16,083 |
If 58% of the town's 47,000 voters cast ballots the number of votes cast is:
(\( \frac{58}{100} \)) x 47,000 = \( \frac{2,726,000}{100} \) = 27,260
The mayor got 75% of the votes cast which is:
(\( \frac{75}{100} \)) x 27,260 = \( \frac{2,044,500}{100} \) = 20,445 votes.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
least common multiple |
|
greatest common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Bob buys two shirts, each with a regular price of $12, how much money will he save?
| $3.60 | |
| $5.40 | |
| $4.80 | |
| $1.80 |
By buying two shirts, Bob will save $12 x \( \frac{30}{100} \) = \( \frac{$12 x 30}{100} \) = \( \frac{$360}{100} \) = $3.60 on the second shirt.
Simplify \( \sqrt{48} \)
| 7\( \sqrt{3} \) | |
| 4\( \sqrt{3} \) | |
| 5\( \sqrt{6} \) | |
| 9\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)