| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.71 |
| Score | 0% | 74% |
Which of the following is a mixed number?
\({a \over 5} \) |
|
\({5 \over 7} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 49 | |
| 46 | |
| 40 | |
| 53 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
Which of these numbers is a factor of 64?
| 32 | |
| 36 | |
| 66 | |
| 17 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
Convert z-3 to remove the negative exponent.
| \( \frac{1}{z^3} \) | |
| \( \frac{-1}{z^{-3}} \) | |
| \( \frac{-1}{-3z^{3}} \) | |
| \( \frac{-3}{z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
How many hours does it take a car to travel 275 miles at an average speed of 55 miles per hour?
| 5 hours | |
| 2 hours | |
| 7 hours | |
| 9 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 = \( \frac{275mi}{55mph} \)
5 hours