| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
What is \( \frac{45\sqrt{36}}{9\sqrt{9}} \)?
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{4}} \) | |
| 4 \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{4} \) | |
| \(\frac{1}{5}\) \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{45\sqrt{36}}{9\sqrt{9}} \)
\( \frac{45}{9} \) \( \sqrt{\frac{36}{9}} \)
5 \( \sqrt{4} \)
If a mayor is elected with 52% of the votes cast and 49% of a town's 32,000 voters cast a vote, how many votes did the mayor receive?
| 7,997 | |
| 13,798 | |
| 10,035 | |
| 8,154 |
If 49% of the town's 32,000 voters cast ballots the number of votes cast is:
(\( \frac{49}{100} \)) x 32,000 = \( \frac{1,568,000}{100} \) = 15,680
The mayor got 52% of the votes cast which is:
(\( \frac{52}{100} \)) x 15,680 = \( \frac{815,360}{100} \) = 8,154 votes.
Monty loaned Betty $200 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $206 | |
| $212 | |
| $218 | |
| $204 |
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 $200
i = 0.06 x $200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $200 + $12Convert y-4 to remove the negative exponent.
| \( \frac{-1}{y^{-4}} \) | |
| \( \frac{1}{y^4} \) | |
| \( \frac{-1}{-4y^{4}} \) | |
| \( \frac{-4}{-y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Alex buys two shirts, each with a regular price of $17, how much will he pay for both shirts?
| $20.40 | |
| $5.95 | |
| $28.05 | |
| $18.70 |
By buying two shirts, Alex will save $17 x \( \frac{35}{100} \) = \( \frac{$17 x 35}{100} \) = \( \frac{$595}{100} \) = $5.95 on the second shirt.
So, his total cost will be
$17.00 + ($17.00 - $5.95)
$17.00 + $11.05
$28.05