| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
What is \( \frac{4}{8} \) ÷ \( \frac{4}{8} \)?
| \(\frac{2}{15}\) | |
| 1 | |
| \(\frac{1}{21}\) | |
| 8 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{8} \) ÷ \( \frac{4}{8} \) = \( \frac{4}{8} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{8}{4} \) = \( \frac{4 x 8}{8 x 4} \) = \( \frac{32}{32} \) = 1
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
absolute value |
|
least common multiple |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of the following is not a prime number?
2 |
|
9 |
|
7 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
A machine in a factory has an error rate of 6 parts per 100. The machine normally runs 24 hours a day and produces 10 parts per hour. Yesterday the machine was shut down for 9 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 141 | |
| 167.6 | |
| 192.1 | |
| 138 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{6}{100} \) x 10 = \( \frac{6 \times 10}{100} \) = \( \frac{60}{100} \) = 0.6 errors per hour
So, in an average hour, the machine will produce 10 - 0.6 = 9.4 error free parts.
The machine ran for 24 - 9 = 15 hours yesterday so you would expect that 15 x 9.4 = 141 error free parts were produced yesterday.
Charlie loaned Betty $200 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $208 | |
| $218 | |
| $214 | |
| $216 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $200
i = 0.09 x $200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $200 + $18