| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
What is \( \frac{10\sqrt{30}}{2\sqrt{6}} \)?
| 5 \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{5}\) \( \sqrt{5} \) | |
| 5 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{5}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{10\sqrt{30}}{2\sqrt{6}} \)
\( \frac{10}{2} \) \( \sqrt{\frac{30}{6}} \)
5 \( \sqrt{5} \)
Which of the following is not an integer?
1 |
|
\({1 \over 2}\) |
|
0 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Bob loaned Frank $1,200 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $18 | |
| $5 | |
| $24 | |
| $11 |
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 $1,200
i = 0.02 x $1,200
i = $24
A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 81.6 | |
| 109.2 | |
| 190.1 | |
| 98.9 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{4}{100} \) x 9 = \( \frac{4 \times 9}{100} \) = \( \frac{36}{100} \) = 0.36 errors per hour
So, in an average hour, the machine will produce 9 - 0.36 = 8.64 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 8.64 = 190.1 error free parts were produced yesterday.
Which of the following is not a prime number?
2 |
|
7 |
|
5 |
|
9 |
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.