| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Find the average of the following numbers: 14, 10, 14, 10.
| 12 | |
| 10 | |
| 7 | |
| 15 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 10 + 14 + 10}{4} \) = \( \frac{48}{4} \) = 12
What is the distance in miles of a trip that takes 6 hours at an average speed of 15 miles per hour?
| 360 miles | |
| 120 miles | |
| 130 miles | |
| 90 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 15mph \times 6h \)
90 miles
What is -2x5 x x4?
| -2x | |
| -2x4 | |
| -x5 | |
| -2x9 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-2x5 x x4
(-2 x 1)x(5 + 4)
-2x9
What is \( 9 \)\( \sqrt{75} \) + \( 9 \)\( \sqrt{3} \)
| 18\( \sqrt{75} \) | |
| 54\( \sqrt{3} \) | |
| 18\( \sqrt{3} \) | |
| 81\( \sqrt{3} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{75} \) + 9\( \sqrt{3} \)
9\( \sqrt{25 \times 3} \) + 9\( \sqrt{3} \)
9\( \sqrt{5^2 \times 3} \) + 9\( \sqrt{3} \)
(9)(5)\( \sqrt{3} \) + 9\( \sqrt{3} \)
45\( \sqrt{3} \) + 9\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
45\( \sqrt{3} \) + 9\( \sqrt{3} \)How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 9 | |
| 3 | |
| 3 | |
| 4 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3