| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 8 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 108.6 | |
| 171 | |
| 146.9 | |
| 193.2 |
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 7 = \( \frac{3 \times 7}{100} \) = \( \frac{21}{100} \) = 0.21 errors per hour
So, in an average hour, the machine will produce 7 - 0.21 = 6.79 error free parts.
The machine ran for 24 - 8 = 16 hours yesterday so you would expect that 16 x 6.79 = 108.6 error free parts were produced yesterday.
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common multiple |
|
greatest common factor |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Damon loaned Latoya $100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $106 | |
| $104 | |
| $105 | |
| $108 |
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 $100
i = 0.08 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $8The __________ is the greatest factor that divides two integers.
greatest common factor |
|
absolute value |
|
greatest common multiple |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is -3a4 - 5a4?
| -8a-4 | |
| -8a4 | |
| 8a4 | |
| 2a-8 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-3a4 - 5a4
(-3 - 5)a4
-8a4