| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Convert a-4 to remove the negative exponent.
| \( \frac{4}{a} \) | |
| \( \frac{-4}{-a} \) | |
| \( \frac{-1}{a^{-4}} \) | |
| \( \frac{1}{a^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
11 members of a bridal party need transported to a wedding reception but there are only 4 2-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 2 | |
| 5 | |
| 8 |
There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 11 people needing transportation leaving 11 - 8 = 3 who will have to find other transportation.
A tiger in a zoo has consumed 88 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 120 pounds?
| 9 | |
| 12 | |
| 4 | |
| 5 |
If the tiger has consumed 88 pounds of food in 11 days that's \( \frac{88}{11} \) = 8 pounds of food per day. The tiger needs to consume 120 - 88 = 32 more pounds of food to reach 120 pounds total. At 8 pounds of food per day that's \( \frac{32}{8} \) = 4 more days.
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 32,000 seats in a stadium are filled, how many home fans are in attendance?
| 26,667 | |
| 20,000 | |
| 23,333 | |
| 28,000 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
32,000 fans x \( \frac{5}{6} \) = \( \frac{160000}{6} \) = 26,667 fans.
How many hours does it take a car to travel 200 miles at an average speed of 25 miles per hour?
| 3 hours | |
| 7 hours | |
| 1 hour | |
| 8 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 = \( \frac{200mi}{25mph} \)
8 hours