| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
What is \( \frac{3}{5} \) ÷ \( \frac{1}{8} \)?
| \(\frac{1}{40}\) | |
| 24 | |
| \(\frac{8}{27}\) | |
| 4\(\frac{4}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{5} \) ÷ \( \frac{1}{8} \) = \( \frac{3}{5} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{8}{1} \) = \( \frac{3 x 8}{5 x 1} \) = \( \frac{24}{5} \) = 4\(\frac{4}{5}\)
If a mayor is elected with 52% of the votes cast and 44% of a town's 30,000 voters cast a vote, how many votes did the mayor receive?
| 11,352 | |
| 8,052 | |
| 10,296 | |
| 6,864 |
If 44% of the town's 30,000 voters cast ballots the number of votes cast is:
(\( \frac{44}{100} \)) x 30,000 = \( \frac{1,320,000}{100} \) = 13,200
The mayor got 52% of the votes cast which is:
(\( \frac{52}{100} \)) x 13,200 = \( \frac{686,400}{100} \) = 6,864 votes.
What is \( \frac{6\sqrt{18}}{3\sqrt{9}} \)?
| \(\frac{1}{2}\) \( \sqrt{2} \) | |
| 2 \( \sqrt{2} \) | |
| 2 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{18}}{3\sqrt{9}} \)
\( \frac{6}{3} \) \( \sqrt{\frac{18}{9}} \)
2 \( \sqrt{2} \)
The total water usage for a city is 30,000 gallons each day. Of that total, 14% is for personal use and 41% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 3,100 | |
| 8,100 | |
| 10,000 | |
| 3,000 |
41% of the water consumption is industrial use and 14% is personal use so (41% - 14%) = 27% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 30,000 gallons = 8,100 gallons.
Damon loaned Betty $1,500 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,605 | |
| $1,635 | |
| $1,620 | |
| $1,590 |
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 $1,500
i = 0.07 x $1,500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $105