| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
What is \( \frac{1}{5} \) x \( \frac{1}{7} \)?
| \(\frac{1}{14}\) | |
| \(\frac{1}{35}\) | |
| \(\frac{1}{5}\) | |
| \(\frac{2}{45}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{5} \) x \( \frac{1}{7} \) = \( \frac{1 x 1}{5 x 7} \) = \( \frac{1}{35} \) = \(\frac{1}{35}\)
A bread recipe calls for 2\(\frac{3}{4}\) cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| 1\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2 cups |
The amount of flour you need is (2\(\frac{3}{4}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{22}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{10}{8} \) cups
1\(\frac{1}{4}\) cups
If a car travels 315 miles in 7 hours, what is the average speed?
| 75 mph | |
| 45 mph | |
| 20 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 6 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 139.7 | |
| 163.8 | |
| 147 | |
| 136.7 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{3}{100} \) x 8 = \( \frac{3 \times 8}{100} \) = \( \frac{24}{100} \) = 0.24 errors per hour
So, in an average hour, the machine will produce 8 - 0.24 = 7.76 error free parts.
The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 7.76 = 139.7 error free parts were produced yesterday.
What is (y2)3?
| y | |
| y-1 | |
| y6 | |
| 3y2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y2)3