| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
The total water usage for a city is 45,000 gallons each day. Of that total, 28% is for personal use and 47% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,500 | |
| 12,150 | |
| 1,050 | |
| 8,550 |
47% of the water consumption is industrial use and 28% is personal use so (47% - 28%) = 19% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{19}{100} \) x 45,000 gallons = 8,550 gallons.
What is 9c5 x 6c2?
| 15c7 | |
| 54c2 | |
| 54c7 | |
| 54c10 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
9c5 x 6c2
(9 x 6)c(5 + 2)
54c7
What is \( \frac{4}{8} \) x \( \frac{1}{7} \)?
| \(\frac{1}{24}\) | |
| \(\frac{1}{14}\) | |
| \(\frac{4}{7}\) | |
| \(\frac{1}{18}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{1}{7} \) = \( \frac{4 x 1}{8 x 7} \) = \( \frac{4}{56} \) = \(\frac{1}{14}\)
4! = ?
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 |
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.
If there were a total of 400 raffle tickets sold and you bought 16 tickets, what's the probability that you'll win the raffle?
| 13% | |
| 9% | |
| 7% | |
| 4% |
You have 16 out of the total of 400 raffle tickets sold so you have a (\( \frac{16}{400} \)) x 100 = \( \frac{16 \times 100}{400} \) = \( \frac{1600}{400} \) = 4% chance to win the raffle.