| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.90 |
| Score | 0% | 78% |
What is the next number in this sequence: 1, 5, 9, 13, 17, __________ ?
| 21 | |
| 29 | |
| 26 | |
| 25 |
The equation for this sequence is:
an = an-1 + 4
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4
a6 = 17 + 4
a6 = 21
If a car travels 90 miles in 2 hours, what is the average speed?
| 70 mph | |
| 50 mph | |
| 20 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \sqrt{\frac{36}{16}} \)?
| 3 | |
| 1\(\frac{1}{2}\) | |
| 2 | |
| 1\(\frac{2}{5}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{36}{16}} \)
\( \frac{\sqrt{36}}{\sqrt{16}} \)
\( \frac{\sqrt{6^2}}{\sqrt{4^2}} \)
\( \frac{6}{4} \)
1\(\frac{1}{2}\)
How many hours does it take a car to travel 165 miles at an average speed of 55 miles per hour?
| 1 hour | |
| 3 hours | |
| 5 hours | |
| 4 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 = \( \frac{165mi}{55mph} \)
3 hours
A tiger in a zoo has consumed 32 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 80 pounds?
| 1 | |
| 9 | |
| 6 | |
| 7 |
If the tiger has consumed 32 pounds of food in 4 days that's \( \frac{32}{4} \) = 8 pounds of food per day. The tiger needs to consume 80 - 32 = 48 more pounds of food to reach 80 pounds total. At 8 pounds of food per day that's \( \frac{48}{8} \) = 6 more days.