| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
A tiger in a zoo has consumed 98 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 140 pounds?
| 3 | |
| 9 | |
| 10 | |
| 4 |
If the tiger has consumed 98 pounds of food in 7 days that's \( \frac{98}{7} \) = 14 pounds of food per day. The tiger needs to consume 140 - 98 = 42 more pounds of food to reach 140 pounds total. At 14 pounds of food per day that's \( \frac{42}{14} \) = 3 more days.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 35,000 seats in a stadium are filled, how many home fans are in attendance?
| 21,333 | |
| 38,333 | |
| 29,167 | |
| 26,250 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
35,000 fans x \( \frac{3}{4} \) = \( \frac{105000}{4} \) = 26,250 fans.
| 1 | |
| 2.7 | |
| 7.0 | |
| 2.4 |
1
17 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 9 | |
| 5 | |
| 8 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 17 people needing transportation leaving 17 - 12 = 5 who will have to find other transportation.
Convert x-5 to remove the negative exponent.
| \( \frac{-1}{-5x^{5}} \) | |
| \( \frac{-1}{x^{-5}} \) | |
| \( \frac{1}{x^5} \) | |
| \( \frac{1}{x^{-5}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.