| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
| 1.6 | |
| 2.7 | |
| 0.4 | |
| 1 |
1
The total water usage for a city is 45,000 gallons each day. Of that total, 19% is for personal use and 42% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 9,800 | |
| 10,350 | |
| 14,850 | |
| 3,200 |
42% of the water consumption is industrial use and 19% is personal use so (42% - 19%) = 23% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 45,000 gallons = 10,350 gallons.
If a mayor is elected with 76% of the votes cast and 89% of a town's 37,000 voters cast a vote, how many votes did the mayor receive?
| 24,368 | |
| 17,782 | |
| 29,308 | |
| 25,027 |
If 89% of the town's 37,000 voters cast ballots the number of votes cast is:
(\( \frac{89}{100} \)) x 37,000 = \( \frac{3,293,000}{100} \) = 32,930
The mayor got 76% of the votes cast which is:
(\( \frac{76}{100} \)) x 32,930 = \( \frac{2,502,680}{100} \) = 25,027 votes.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 50 | |
| 46 | |
| 49 | |
| 55 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
What is \( \frac{4c^9}{5c^3} \)?
| \(\frac{4}{5}\)c12 | |
| 1\(\frac{1}{4}\)c-6 | |
| \(\frac{4}{5}\)c6 | |
| 1\(\frac{1}{4}\)c6 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{4c^9}{5c^3} \)
\( \frac{4}{5} \) c(9 - 3)
\(\frac{4}{5}\)c6