| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
If \( \left|x - 4\right| \) - 5 = -9, which of these is a possible value for x?
| -6 | |
| 0 | |
| 1 | |
| -5 |
First, solve for \( \left|x - 4\right| \):
\( \left|x - 4\right| \) - 5 = -9
\( \left|x - 4\right| \) = -9 + 5
\( \left|x - 4\right| \) = -4
The value inside the absolute value brackets can be either positive or negative so (x - 4) must equal - 4 or --4 for \( \left|x - 4\right| \) to equal -4:
| x - 4 = -4 x = -4 + 4 x = 0 | x - 4 = 4 x = 4 + 4 x = 8 |
So, x = 8 or x = 0.
Simplify \( \frac{36}{44} \).
| \( \frac{9}{11} \) | |
| \( \frac{9}{14} \) | |
| \( \frac{4}{17} \) | |
| \( \frac{5}{16} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{36}{44} \) = \( \frac{\frac{36}{4}}{\frac{44}{4}} \) = \( \frac{9}{11} \)
| 3.5 | |
| 1 | |
| 1.8 | |
| 9.0 |
1
If a mayor is elected with 87% of the votes cast and 87% of a town's 36,000 voters cast a vote, how many votes did the mayor receive?
| 24,116 | |
| 21,924 | |
| 26,309 | |
| 27,248 |
If 87% of the town's 36,000 voters cast ballots the number of votes cast is:
(\( \frac{87}{100} \)) x 36,000 = \( \frac{3,132,000}{100} \) = 31,320
The mayor got 87% of the votes cast which is:
(\( \frac{87}{100} \)) x 31,320 = \( \frac{2,724,840}{100} \) = 27,248 votes.
Which of the following is not a prime number?
2 |
|
9 |
|
5 |
|
7 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.