| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $39, how much will he pay for both shirts?
| $62.40 | |
| $23.40 | |
| $46.80 | |
| $50.70 |
By buying two shirts, Monty will save $39 x \( \frac{40}{100} \) = \( \frac{$39 x 40}{100} \) = \( \frac{$1560}{100} \) = $15.60 on the second shirt.
So, his total cost will be
$39.00 + ($39.00 - $15.60)
$39.00 + $23.40
$62.40
| 1.0 | |
| 7.0 | |
| 7.2 | |
| 1 |
1
What is \( \sqrt{\frac{49}{36}} \)?
| 2\(\frac{1}{3}\) | |
| \(\frac{2}{5}\) | |
| 1\(\frac{1}{6}\) | |
| \(\frac{2}{7}\) |
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:
\( \sqrt{\frac{49}{36}} \)
\( \frac{\sqrt{49}}{\sqrt{36}} \)
\( \frac{\sqrt{7^2}}{\sqrt{6^2}} \)
\( \frac{7}{6} \)
1\(\frac{1}{6}\)
Convert b-4 to remove the negative exponent.
| \( \frac{-1}{-4b^{4}} \) | |
| \( \frac{1}{b^4} \) | |
| \( \frac{-1}{b^{-4}} \) | |
| \( \frac{-4}{b} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is 7y5 x 6y5?
| 42y25 | |
| 13y25 | |
| 42y10 | |
| 13y5 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
7y5 x 6y5
(7 x 6)y(5 + 5)
42y10