| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
The total water usage for a city is 35,000 gallons each day. Of that total, 21% is for personal use and 38% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,400 | |
| 5,950 | |
| 15,749 | |
| 1,650 |
38% of the water consumption is industrial use and 21% is personal use so (38% - 21%) = 17% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{17}{100} \) x 35,000 gallons = 5,950 gallons.
Find the average of the following numbers: 14, 12, 14, 12.
| 17 | |
| 16 | |
| 13 | |
| 14 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 12 + 14 + 12}{4} \) = \( \frac{52}{4} \) = 13
What is the distance in miles of a trip that takes 6 hours at an average speed of 75 miles per hour?
| 35 miles | |
| 440 miles | |
| 320 miles | |
| 450 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 = \( 75mph \times 6h \)
450 miles
13 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 9 | |
| 5 | |
| 6 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 13 people needing transportation leaving 13 - 10 = 3 who will have to find other transportation.
Convert a-5 to remove the negative exponent.
| \( \frac{-5}{-a} \) | |
| \( \frac{1}{a^{-5}} \) | |
| \( \frac{1}{a^5} \) | |
| \( \frac{5}{a} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.