| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is \( \sqrt{\frac{36}{81}} \)?
| 2\(\frac{1}{4}\) | |
| 1 | |
| \(\frac{1}{2}\) | |
| \(\frac{2}{3}\) |
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:
\( \sqrt{\frac{36}{81}} \)
\( \frac{\sqrt{36}}{\sqrt{81}} \)
\( \frac{\sqrt{6^2}}{\sqrt{9^2}} \)
\(\frac{2}{3}\)
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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distributive property for division |
|
commutative property for division |
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distributive property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Charlie buys two shirts, each with a regular price of $18, how much money will he save?
| $3.60 | |
| $6.30 | |
| $4.50 | |
| $1.80 |
By buying two shirts, Charlie will save $18 x \( \frac{20}{100} \) = \( \frac{$18 x 20}{100} \) = \( \frac{$360}{100} \) = $3.60 on the second shirt.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $11, how much will he pay for both shirts?
| $20.35 | |
| $1.65 | |
| $12.10 | |
| $9.35 |
By buying two shirts, Damon will save $11 x \( \frac{15}{100} \) = \( \frac{$11 x 15}{100} \) = \( \frac{$165}{100} \) = $1.65 on the second shirt.
So, his total cost will be
$11.00 + ($11.00 - $1.65)
$11.00 + $9.35
$20.35
Which of these numbers is a factor of 20?
| 22 | |
| 20 | |
| 4 | |
| 24 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.