| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Frank buys two shirts, each with a regular price of $39, how much will he pay for both shirts?
| $56.55 | |
| $48.75 | |
| $19.50 | |
| $58.50 |
By buying two shirts, Frank will save $39 x \( \frac{50}{100} \) = \( \frac{$39 x 50}{100} \) = \( \frac{$1950}{100} \) = $19.50 on the second shirt.
So, his total cost will be
$39.00 + ($39.00 - $19.50)
$39.00 + $19.50
$58.50
What is \( \frac{25\sqrt{32}}{5\sqrt{8}} \)?
| \(\frac{1}{4}\) \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{4} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{4}} \) | |
| 5 \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{25\sqrt{32}}{5\sqrt{8}} \)
\( \frac{25}{5} \) \( \sqrt{\frac{32}{8}} \)
5 \( \sqrt{4} \)
What is the least common multiple of 4 and 8?
| 1 | |
| 16 | |
| 8 | |
| 11 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.
Convert 0.0001067 to scientific notation.
| 1.067 x 104 | |
| 1.067 x 10-5 | |
| 1.067 x 10-3 | |
| 1.067 x 10-4 |
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:
0.0001067 in scientific notation is 1.067 x 10-4
In a class of 34 students, 13 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 33 | |
| 9 | |
| 23 | |
| 17 |
The number of students taking German or Spanish is 13 + 15 = 28. Of that group of 28, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 28 - 3 = 25 who are taking at least one language. 34 - 25 = 9 students who are not taking either language.