| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
A bread recipe calls for 2\(\frac{1}{2}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| 1\(\frac{3}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 2\(\frac{1}{2}\) cups |
The amount of flour you need is (2\(\frac{1}{2}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{20}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{11}{8} \) cups
1\(\frac{3}{8}\) cups
Simplify \( \frac{28}{76} \).
| \( \frac{1}{3} \) | |
| \( \frac{5}{9} \) | |
| \( \frac{7}{11} \) | |
| \( \frac{7}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{76} \) = \( \frac{\frac{28}{4}}{\frac{76}{4}} \) = \( \frac{7}{19} \)
A circular logo is enlarged to fit the lid of a jar. The new diameter is 45% larger than the original. By what percentage has the area of the logo increased?
| 35% | |
| 32\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% |
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 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
|
a = 7 |
|
a = -7 |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Alex buys two shirts, each with a regular price of $48, how much money will he save?
| $21.60 | |
| $9.60 | |
| $14.40 | |
| $16.80 |
By buying two shirts, Alex will save $48 x \( \frac{30}{100} \) = \( \frac{$48 x 30}{100} \) = \( \frac{$1440}{100} \) = $14.40 on the second shirt.