| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
How many hours does it take a car to travel 210 miles at an average speed of 30 miles per hour?
| 1 hour | |
| 7 hours | |
| 6 hours | |
| 2 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 = \( \frac{210mi}{30mph} \)
7 hours
If \( \left|x + 4\right| \) - 9 = -7, which of these is a possible value for x?
| 0 | |
| 16 | |
| -6 | |
| 19 |
First, solve for \( \left|x + 4\right| \):
\( \left|x + 4\right| \) - 9 = -7
\( \left|x + 4\right| \) = -7 + 9
\( \left|x + 4\right| \) = 2
The value inside the absolute value brackets can be either positive or negative so (x + 4) must equal + 2 or -2 for \( \left|x + 4\right| \) to equal 2:
| x + 4 = 2 x = 2 - 4 x = -2 | x + 4 = -2 x = -2 - 4 x = -6 |
So, x = -6 or x = -2.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 58 | |
| 61 | |
| 55 | |
| 53 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
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(6 - 1)
a6 = 41 + 4(5)
a6 = 61
What is the least common multiple of 4 and 8?
| 8 | |
| 6 | |
| 29 | |
| 20 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.
A triathlon course includes a 100m swim, a 40.3km bike ride, and a 7.9km run. What is the total length of the race course?
| 53.6km | |
| 51.2km | |
| 36.6km | |
| 48.3km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 40.3km + 7.9km
total distance = 48.3km