| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
A triathlon course includes a 100m swim, a 30.7km bike ride, and a 11.8km run. What is the total length of the race course?
| 42.6km | |
| 50.9km | |
| 35.6km | |
| 54.4km |
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 + 30.7km + 11.8km
total distance = 42.6km
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
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a = 7 or a = -7 |
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a = -7 |
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a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Convert z-2 to remove the negative exponent.
| \( \frac{2}{z} \) | |
| \( \frac{-2}{-z} \) | |
| \( \frac{1}{z^2} \) | |
| \( \frac{1}{z^{-2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If there were a total of 350 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
| 5% | |
| 1% | |
| 2% | |
| 10% |
You have 7 out of the total of 350 raffle tickets sold so you have a (\( \frac{7}{350} \)) x 100 = \( \frac{7 \times 100}{350} \) = \( \frac{700}{350} \) = 2% chance to win the raffle.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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absolute value |
|
greatest common factor |
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least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.