| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
If a car travels 330 miles in 6 hours, what is the average speed?
| 45 mph | |
| 55 mph | |
| 20 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{9z^5}{8z^2} \)?
| \(\frac{8}{9}\)z7 | |
| \(\frac{8}{9}\)z-3 | |
| 1\(\frac{1}{8}\)z7 | |
| 1\(\frac{1}{8}\)z3 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{9z^5}{8z^2} \)
\( \frac{9}{8} \) z(5 - 2)
1\(\frac{1}{8}\)z3
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
associative |
|
PEDMAS |
|
distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
Betty scored 87% on her final exam. If each question was worth 4 points and there were 120 possible points on the exam, how many questions did Betty answer correctly?
| 26 | |
| 40 | |
| 23 | |
| 13 |
Betty scored 87% on the test meaning she earned 87% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.87 = 104 points. Each question is worth 4 points so she got \( \frac{104}{4} \) = 26 questions right.
12 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 6 | |
| 4 | |
| 5 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 12 people needing transportation leaving 12 - 8 = 4 who will have to find other transportation.