| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is the distance in miles of a trip that takes 6 hours at an average speed of 65 miles per hour?
| 30 miles | |
| 240 miles | |
| 40 miles | |
| 390 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 = \( 65mph \times 6h \)
390 miles
What is (z4)3?
| 3z4 | |
| z-1 | |
| z12 | |
| z7 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z4)3Which of the following is not a prime number?
5 |
|
7 |
|
9 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Solve 5 + (2 + 3) ÷ 3 x 2 - 42
| -7\(\frac{2}{3}\) | |
| 3\(\frac{1}{2}\) | |
| 3 | |
| 1\(\frac{1}{3}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (2 + 3) ÷ 3 x 2 - 42
P: 5 + (5) ÷ 3 x 2 - 42
E: 5 + 5 ÷ 3 x 2 - 16
MD: 5 + \( \frac{5}{3} \) x 2 - 16
MD: 5 + \( \frac{10}{3} \) - 16
AS: \( \frac{15}{3} \) + \( \frac{10}{3} \) - 16
AS: \( \frac{25}{3} \) - 16
AS: \( \frac{25 - 48}{3} \)
\( \frac{-23}{3} \)
-7\(\frac{2}{3}\)
How many 1 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 7 | |
| 8 | |
| 4 | |
| 3 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4