| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
If a mayor is elected with 61% of the votes cast and 62% of a town's 43,000 voters cast a vote, how many votes did the mayor receive?
| 23,994 | |
| 16,263 | |
| 17,862 | |
| 21,328 |
If 62% of the town's 43,000 voters cast ballots the number of votes cast is:
(\( \frac{62}{100} \)) x 43,000 = \( \frac{2,666,000}{100} \) = 26,660
The mayor got 61% of the votes cast which is:
(\( \frac{61}{100} \)) x 26,660 = \( \frac{1,626,260}{100} \) = 16,263 votes.
Which of the following is not an integer?
\({1 \over 2}\) |
|
-1 |
|
0 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
How many hours does it take a car to travel 30 miles at an average speed of 30 miles per hour?
| 4 hours | |
| 2 hours | |
| 1 hour | |
| 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 = \( \frac{30mi}{30mph} \)
1 hour
If \( \left|y + 0\right| \) + 5 = 0, which of these is a possible value for y?
| -2 | |
| 1 | |
| -5 | |
| -8 |
First, solve for \( \left|y + 0\right| \):
\( \left|y + 0\right| \) + 5 = 0
\( \left|y + 0\right| \) = 0 - 5
\( \left|y + 0\right| \) = -5
The value inside the absolute value brackets can be either positive or negative so (y + 0) must equal - 5 or --5 for \( \left|y + 0\right| \) to equal -5:
| y + 0 = -5 y = -5 + 0 y = -5 | y + 0 = 5 y = 5 + 0 y = 5 |
So, y = 5 or y = -5.
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({2 \over 5} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.