| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is \( \frac{24\sqrt{27}}{8\sqrt{9}} \)?
| \(\frac{1}{3}\) \( \sqrt{3} \) | |
| 3 \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{24\sqrt{27}}{8\sqrt{9}} \)
\( \frac{24}{8} \) \( \sqrt{\frac{27}{9}} \)
3 \( \sqrt{3} \)
If a mayor is elected with 58% of the votes cast and 53% of a town's 46,000 voters cast a vote, how many votes did the mayor receive?
| 15,603 | |
| 20,723 | |
| 14,140 | |
| 13,409 |
If 53% of the town's 46,000 voters cast ballots the number of votes cast is:
(\( \frac{53}{100} \)) x 46,000 = \( \frac{2,438,000}{100} \) = 24,380
The mayor got 58% of the votes cast which is:
(\( \frac{58}{100} \)) x 24,380 = \( \frac{1,414,040}{100} \) = 14,140 votes.
Damon loaned Charlie $300 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $2 | |
| $24 | |
| $36 | |
| $15 |
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 $300
i = 0.08 x $300
i = $24
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
|
a = -7 |
|
a = 7 |
|
a = 7 or 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).
Solve for \( \frac{5!}{2!} \)
| 1680 | |
| \( \frac{1}{210} \) | |
| 60 | |
| 4 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{2!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{5 \times 4 \times 3}{1} \)
\( 5 \times 4 \times 3 \)
60