| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
A tiger in a zoo has consumed 24 pounds of food in 3 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 80 pounds?
| 3 | |
| 9 | |
| 5 | |
| 7 |
If the tiger has consumed 24 pounds of food in 3 days that's \( \frac{24}{3} \) = 8 pounds of food per day. The tiger needs to consume 80 - 24 = 56 more pounds of food to reach 80 pounds total. At 8 pounds of food per day that's \( \frac{56}{8} \) = 7 more days.
Which of these numbers is a factor of 32?
| 10 | |
| 1 | |
| 32 | |
| 18 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = 1 |
|
all of these are false |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
A triathlon course includes a 500m swim, a 40.3km bike ride, and a 11.8km run. What is the total length of the race course?
| 33.9km | |
| 46.5km | |
| 38.1km | |
| 52.6km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 40.3km + 11.8km
total distance = 52.6km
What is \( \frac{6\sqrt{27}}{2\sqrt{9}} \)?
| \(\frac{1}{3}\) \( \sqrt{3} \) | |
| 3 \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{27}}{2\sqrt{9}} \)
\( \frac{6}{2} \) \( \sqrt{\frac{27}{9}} \)
3 \( \sqrt{3} \)