| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
The total water usage for a city is 15,000 gallons each day. Of that total, 28% is for personal use and 62% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 1,200 | |
| 5,200 | |
| 1,300 | |
| 5,100 |
62% of the water consumption is industrial use and 28% is personal use so (62% - 28%) = 34% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{34}{100} \) x 15,000 gallons = 5,100 gallons.
Damon loaned Jennifer $400 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $432 | |
| $416 | |
| $408 | |
| $412 |
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 $400
i = 0.03 x $400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $400 + $12If a car travels 120 miles in 2 hours, what is the average speed?
| 65 mph | |
| 70 mph | |
| 60 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is the least common multiple of 3 and 11?
| 33 | |
| 1 | |
| 26 | |
| 28 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 have in common.
Simplify \( \sqrt{8} \)
| 5\( \sqrt{2} \) | |
| 2\( \sqrt{4} \) | |
| 2\( \sqrt{2} \) | |
| 6\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)