| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is \( \sqrt{\frac{49}{49}} \)?
| 2\(\frac{1}{2}\) | |
| 3\(\frac{1}{2}\) | |
| 1 | |
| 2 |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{49}{49}} \)
\( \frac{\sqrt{49}}{\sqrt{49}} \)
\( \frac{\sqrt{7^2}}{\sqrt{7^2}} \)
1
4! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 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.
Jennifer scored 96% on her final exam. If each question was worth 3 points and there were 240 possible points on the exam, how many questions did Jennifer answer correctly?
| 69 | |
| 90 | |
| 77 | |
| 89 |
Jennifer scored 96% on the test meaning she earned 96% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.96 = 231 points. Each question is worth 3 points so she got \( \frac{231}{3} \) = 77 questions right.
Ezra loaned Jennifer $1,100 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,155 | |
| $1,177 | |
| $1,144 | |
| $1,188 |
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 $1,100
i = 0.04 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $44If a mayor is elected with 56% of the votes cast and 38% of a town's 45,000 voters cast a vote, how many votes did the mayor receive?
| 14,193 | |
| 9,576 | |
| 14,877 | |
| 12,996 |
If 38% of the town's 45,000 voters cast ballots the number of votes cast is:
(\( \frac{38}{100} \)) x 45,000 = \( \frac{1,710,000}{100} \) = 17,100
The mayor got 56% of the votes cast which is:
(\( \frac{56}{100} \)) x 17,100 = \( \frac{957,600}{100} \) = 9,576 votes.