| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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integer |
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improper fraction |
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fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Which of the following is a mixed number?
\({7 \over 5} \) |
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\({a \over 5} \) |
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\(1 {2 \over 5} \) |
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\({5 \over 7} \) |
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.
How many hours does it take a car to travel 60 miles at an average speed of 60 miles per hour?
| 1 hour | |
| 7 hours | |
| 6 hours | |
| 2 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 = \( \frac{60mi}{60mph} \)
1 hour
A bread recipe calls for 3\(\frac{1}{8}\) cups of flour. If you only have \(\frac{1}{2}\) cup, how much more flour is needed?
| 2 cups | |
| 2\(\frac{5}{8}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 2\(\frac{7}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{8}\) - \(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{25}{8} \) - \( \frac{4}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups
A machine in a factory has an error rate of 8 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 5 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 108.3 | |
| 122.4 | |
| 157.3 | |
| 69 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{8}{100} \) x 7 = \( \frac{8 \times 7}{100} \) = \( \frac{56}{100} \) = 0.56 errors per hour
So, in an average hour, the machine will produce 7 - 0.56 = 6.4399999999999995 error free parts.
The machine ran for 24 - 5 = 19 hours yesterday so you would expect that 19 x 6.4399999999999995 = 122.4 error free parts were produced yesterday.