| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
What is \( \frac{1}{8} \) ÷ \( \frac{4}{5} \)?
| \(\frac{4}{15}\) | |
| \(\frac{1}{21}\) | |
| \(\frac{8}{21}\) | |
| \(\frac{5}{32}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{8} \) ÷ \( \frac{4}{5} \) = \( \frac{1}{8} \) x \( \frac{5}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{8} \) x \( \frac{5}{4} \) = \( \frac{1 x 5}{8 x 4} \) = \( \frac{5}{32} \) = \(\frac{5}{32}\)
| 1 | |
| 3.0 | |
| 0.8 | |
| 0.9 |
1
What is \( \frac{56\sqrt{6}}{8\sqrt{3}} \)?
| 7 \( \sqrt{2} \) | |
| 2 \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{56\sqrt{6}}{8\sqrt{3}} \)
\( \frac{56}{8} \) \( \sqrt{\frac{6}{3}} \)
7 \( \sqrt{2} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Damon buys two shirts, each with a regular price of $34, how much money will he save?
| $15.30 | |
| $11.90 | |
| $8.50 | |
| $6.80 |
By buying two shirts, Damon will save $34 x \( \frac{20}{100} \) = \( \frac{$34 x 20}{100} \) = \( \frac{$680}{100} \) = $6.80 on the second shirt.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?
| 25% | |
| 35% | |
| 30% | |
| 27\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%