| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
The total water usage for a city is 15,000 gallons each day. Of that total, 10% is for personal use and 33% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,200 | |
| 3,450 | |
| 9,000 | |
| 3,300 |
33% of the water consumption is industrial use and 10% is personal use so (33% - 10%) = 23% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 15,000 gallons = 3,450 gallons.
What is the distance in miles of a trip that takes 6 hours at an average speed of 35 miles per hour?
| 180 miles | |
| 495 miles | |
| 210 miles | |
| 150 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 35mph \times 6h \)
210 miles
Alex loaned Monty $200 at an annual interest rate of 4%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $18 | |
| $63 | |
| $48 | |
| $8 |
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 $200
i = 0.04 x $200
i = $8
Simplify \( \frac{32}{80} \).
| \( \frac{4}{17} \) | |
| \( \frac{4}{13} \) | |
| \( \frac{2}{5} \) | |
| \( \frac{9}{17} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 5 factors [1, 2, 4, 8, 16] making 16 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{32}{80} \) = \( \frac{\frac{32}{16}}{\frac{80}{16}} \) = \( \frac{2}{5} \)
What is the least common multiple of 6 and 14?
| 4 | |
| 50 | |
| 12 | |
| 42 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.