| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
A triathlon course includes a 100m swim, a 50.1km bike ride, and a 7.4km run. What is the total length of the race course?
| 54.7km | |
| 43.5km | |
| 51.7km | |
| 57.6km |
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 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 + 50.1km + 7.4km
total distance = 57.6km
What is -3z5 + 9z5?
| 6z-10 | |
| 12z-5 | |
| 6z25 | |
| 6z5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-3z5 + 9z5
(-3 + 9)z5
6z5
What is \( 6 \)\( \sqrt{32} \) + \( 5 \)\( \sqrt{2} \)
| 30\( \sqrt{32} \) | |
| 29\( \sqrt{2} \) | |
| 11\( \sqrt{16} \) | |
| 11\( \sqrt{2} \) |
To add these radicals together their radicands must be the same:
6\( \sqrt{32} \) + 5\( \sqrt{2} \)
6\( \sqrt{16 \times 2} \) + 5\( \sqrt{2} \)
6\( \sqrt{4^2 \times 2} \) + 5\( \sqrt{2} \)
(6)(4)\( \sqrt{2} \) + 5\( \sqrt{2} \)
24\( \sqrt{2} \) + 5\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
24\( \sqrt{2} \) + 5\( \sqrt{2} \)How many 1 gallon cans worth of fuel would you need to pour into an empty 4 gallon tank to fill it exactly halfway?
| 2 | |
| 3 | |
| 2 | |
| 7 |
To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{2 \text{ gallons}}{1 \text{ gallons}} \) = 2
Which of these numbers is a factor of 72?
| 17 | |
| 71 | |
| 3 | |
| 2 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.