| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
4! = ?
4 x 3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
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3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
How many hours does it take a car to travel 125 miles at an average speed of 25 miles per hour?
| 4 hours | |
| 1 hour | |
| 5 hours | |
| 3 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 = \( \frac{125mi}{25mph} \)
5 hours
If a mayor is elected with 78% of the votes cast and 82% of a town's 12,000 voters cast a vote, how many votes did the mayor receive?
| 6,199 | |
| 5,412 | |
| 7,675 | |
| 7,577 |
If 82% of the town's 12,000 voters cast ballots the number of votes cast is:
(\( \frac{82}{100} \)) x 12,000 = \( \frac{984,000}{100} \) = 9,840
The mayor got 78% of the votes cast which is:
(\( \frac{78}{100} \)) x 9,840 = \( \frac{767,520}{100} \) = 7,675 votes.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
a = 7 |
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none of these is correct |
|
a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 2 | |
| 8 | |
| 5 | |
| 4 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4