| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.62 |
| Score | 0% | 72% |
What is the distance in miles of a trip that takes 8 hours at an average speed of 55 miles per hour?
| 350 miles | |
| 140 miles | |
| 175 miles | |
| 440 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 = \( 55mph \times 8h \)
440 miles
What is \( \frac{6}{4} \) + \( \frac{3}{6} \)?
| 2 | |
| \( \frac{3}{10} \) | |
| 2 \( \frac{5}{10} \) | |
| \( \frac{2}{12} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{6 x 3}{4 x 3} \) + \( \frac{3 x 2}{6 x 2} \)
\( \frac{18}{12} \) + \( \frac{6}{12} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{18 + 6}{12} \) = \( \frac{24}{12} \) = 2
Alex loaned Ezra $800 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $28 | |
| $15 | |
| $10 | |
| $56 |
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 $800
i = 0.07 x $800
i = $56
The total water usage for a city is 50,000 gallons each day. Of that total, 24% is for personal use and 39% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,500 | |
| 4,800 | |
| 3,600 | |
| 7,500 |
39% of the water consumption is industrial use and 24% is personal use so (39% - 24%) = 15% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{15}{100} \) x 50,000 gallons = 7,500 gallons.
How many hours does it take a car to travel 195 miles at an average speed of 65 miles per hour?
| 7 hours | |
| 3 hours | |
| 4 hours | |
| 9 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{195mi}{65mph} \)
3 hours