| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
a = -7 |
|
a = 7 or a = -7 |
|
none of these is correct |
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).
If a mayor is elected with 58% of the votes cast and 68% of a town's 40,000 voters cast a vote, how many votes did the mayor receive?
| 17,952 | |
| 15,776 | |
| 21,488 | |
| 19,040 |
If 68% of the town's 40,000 voters cast ballots the number of votes cast is:
(\( \frac{68}{100} \)) x 40,000 = \( \frac{2,720,000}{100} \) = 27,200
The mayor got 58% of the votes cast which is:
(\( \frac{58}{100} \)) x 27,200 = \( \frac{1,577,600}{100} \) = 15,776 votes.
Monty loaned Damon $1,300 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $16 | |
| $78 | |
| $9 | |
| $56 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,300
i = 0.06 x $1,300
i = $78
21 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 5 | |
| 2 | |
| 8 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 21 people needing transportation leaving 21 - 16 = 5 who will have to find other transportation.
How many hours does it take a car to travel 200 miles at an average speed of 25 miles per hour?
| 9 hours | |
| 1 hour | |
| 8 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 = \( \frac{200mi}{25mph} \)
8 hours