| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
What is \( \sqrt{\frac{36}{49}} \)?
| 1\(\frac{1}{8}\) | |
| 1 | |
| 1\(\frac{1}{2}\) | |
| \(\frac{6}{7}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{36}{49}} \)
\( \frac{\sqrt{36}}{\sqrt{49}} \)
\( \frac{\sqrt{6^2}}{\sqrt{7^2}} \)
\(\frac{6}{7}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Roger buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $53.75 | |
| $6.45 | |
| $79.55 | |
| $36.55 |
By buying two shirts, Roger will save $43 x \( \frac{15}{100} \) = \( \frac{$43 x 15}{100} \) = \( \frac{$645}{100} \) = $6.45 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $6.45)
$43.00 + $36.55
$79.55
Which of the following is not an integer?
0 |
|
1 |
|
\({1 \over 2}\) |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Convert 0.0006387 to scientific notation.
| 6.387 x 10-5 | |
| 6.387 x 10-4 | |
| 6.387 x 10-3 | |
| 0.639 x 10-3 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0006387 in scientific notation is 6.387 x 10-4
If all of a roofing company's 6 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 5 complete crews out on jobs?
| 3 | |
| 10 | |
| 9 | |
| 13 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 6 workers at the company now and that's enough to staff 2 crews so there are \( \frac{6}{2} \) = 3 workers on a crew. 5 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 5 x 3 = 15 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 15 - 6 = 9 new staff for the busy season.