| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
How many hours does it take a car to travel 585 miles at an average speed of 65 miles per hour?
| 6 hours | |
| 8 hours | |
| 9 hours | |
| 7 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 = \( \frac{585mi}{65mph} \)
9 hours
A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?
| 35% | |
| 27\(\frac{1}{2}\)% | |
| 20% | |
| 30% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%
Solve 4 + (3 + 2) ÷ 2 x 2 - 42
| -7 | |
| \(\frac{3}{4}\) | |
| \(\frac{5}{7}\) | |
| 1\(\frac{1}{5}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 2) ÷ 2 x 2 - 42
P: 4 + (5) ÷ 2 x 2 - 42
E: 4 + 5 ÷ 2 x 2 - 16
MD: 4 + \( \frac{5}{2} \) x 2 - 16
MD: 4 + \( \frac{10}{2} \) - 16
AS: \( \frac{8}{2} \) + \( \frac{10}{2} \) - 16
AS: \( \frac{18}{2} \) - 16
AS: \( \frac{18 - 32}{2} \)
\( \frac{-14}{2} \)
-7
What is the greatest common factor of 16 and 16?
| 10 | |
| 14 | |
| 16 | |
| 9 |
The factors of 16 are [1, 2, 4, 8, 16] and the factors of 16 are [1, 2, 4, 8, 16]. They share 5 factors [1, 2, 4, 8, 16] making 16 the greatest factor 16 and 16 have in common.
Convert a-4 to remove the negative exponent.
| \( \frac{-1}{a^{-4}} \) | |
| \( \frac{4}{a} \) | |
| \( \frac{1}{a^{-4}} \) | |
| \( \frac{1}{a^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.