| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Monty buys two shirts, each with a regular price of $42, how much will he pay for both shirts?
| $63.00 | |
| $52.50 | |
| $21.00 | |
| $46.20 |
By buying two shirts, Monty will save $42 x \( \frac{50}{100} \) = \( \frac{$42 x 50}{100} \) = \( \frac{$2100}{100} \) = $21.00 on the second shirt.
So, his total cost will be
$42.00 + ($42.00 - $21.00)
$42.00 + $21.00
$63.00
What is the greatest common factor of 60 and 20?
| 20 | |
| 2 | |
| 4 | |
| 8 |
The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 6 factors [1, 2, 4, 5, 10, 20] making 20 the greatest factor 60 and 20 have in common.
What is 6\( \sqrt{2} \) x 9\( \sqrt{2} \)?
| 108 | |
| 54\( \sqrt{2} \) | |
| 15\( \sqrt{4} \) | |
| 15\( \sqrt{2} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
6\( \sqrt{2} \) x 9\( \sqrt{2} \)
(6 x 9)\( \sqrt{2 \times 2} \)
54\( \sqrt{4} \)
Now we need to simplify the radical:
54\( \sqrt{4} \)
54\( \sqrt{2^2} \)
(54)(2)
108
Solve 4 + (3 + 4) ÷ 4 x 4 - 22
| 7 | |
| \(\frac{2}{9}\) | |
| \(\frac{3}{5}\) | |
| \(\frac{3}{7}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 4) ÷ 4 x 4 - 22
P: 4 + (7) ÷ 4 x 4 - 22
E: 4 + 7 ÷ 4 x 4 - 4
MD: 4 + \( \frac{7}{4} \) x 4 - 4
MD: 4 + \( \frac{28}{4} \) - 4
AS: \( \frac{16}{4} \) + \( \frac{28}{4} \) - 4
AS: \( \frac{44}{4} \) - 4
AS: \( \frac{44 - 16}{4} \)
\( \frac{28}{4} \)
7
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.