| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
The total water usage for a city is 10,000 gallons each day. Of that total, 17% is for personal use and 30% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 13,600 | |
| 10,350 | |
| 1,300 | |
| 3,000 |
30% of the water consumption is industrial use and 17% is personal use so (30% - 17%) = 13% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{13}{100} \) x 10,000 gallons = 1,300 gallons.
If a mayor is elected with 53% of the votes cast and 43% of a town's 15,000 voters cast a vote, how many votes did the mayor receive?
| 4,064 | |
| 3,806 | |
| 3,548 | |
| 3,419 |
If 43% of the town's 15,000 voters cast ballots the number of votes cast is:
(\( \frac{43}{100} \)) x 15,000 = \( \frac{645,000}{100} \) = 6,450
The mayor got 53% of the votes cast which is:
(\( \frac{53}{100} \)) x 6,450 = \( \frac{341,850}{100} \) = 3,419 votes.
Solve for \( \frac{4!}{6!} \)
| 30 | |
| 3024 | |
| \( \frac{1}{30} \) | |
| \( \frac{1}{504} \) |
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:
\( \frac{4!}{6!} \)
\( \frac{4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5} \)
\( \frac{1}{30} \)
A tiger in a zoo has consumed 35 pounds of food in 5 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 63 pounds?
| 5 | |
| 8 | |
| 4 | |
| 2 |
If the tiger has consumed 35 pounds of food in 5 days that's \( \frac{35}{5} \) = 7 pounds of food per day. The tiger needs to consume 63 - 35 = 28 more pounds of food to reach 63 pounds total. At 7 pounds of food per day that's \( \frac{28}{7} \) = 4 more days.
If there were a total of 400 raffle tickets sold and you bought 28 tickets, what's the probability that you'll win the raffle?
| 17% | |
| 10% | |
| 7% | |
| 12% |
You have 28 out of the total of 400 raffle tickets sold so you have a (\( \frac{28}{400} \)) x 100 = \( \frac{28 \times 100}{400} \) = \( \frac{2800}{400} \) = 7% chance to win the raffle.