| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
What is \( \frac{3}{5} \) ÷ \( \frac{2}{7} \)?
| \(\frac{2}{35}\) | |
| 4\(\frac{1}{5}\) | |
| 2\(\frac{1}{10}\) | |
| \(\frac{4}{15}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{5} \) ÷ \( \frac{2}{7} \) = \( \frac{3}{5} \) x \( \frac{7}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{7}{2} \) = \( \frac{3 x 7}{5 x 2} \) = \( \frac{21}{10} \) = 2\(\frac{1}{10}\)
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
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commutative property for multiplication |
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commutative property for division |
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distributive property for division |
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 Alex buys two shirts, each with a regular price of $20, how much will he pay for both shirts?
| $16.00 | |
| $22.00 | |
| $36.00 | |
| $24.00 |
By buying two shirts, Alex will save $20 x \( \frac{20}{100} \) = \( \frac{$20 x 20}{100} \) = \( \frac{$400}{100} \) = $4.00 on the second shirt.
So, his total cost will be
$20.00 + ($20.00 - $4.00)
$20.00 + $16.00
$36.00
What is \( \sqrt{\frac{4}{16}} \)?
| 2\(\frac{1}{3}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{6}{7}\) |
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:
\( \sqrt{\frac{4}{16}} \)
\( \frac{\sqrt{4}}{\sqrt{16}} \)
\( \frac{\sqrt{2^2}}{\sqrt{4^2}} \)
\(\frac{1}{2}\)
How many hours does it take a car to travel 90 miles at an average speed of 30 miles per hour?
| 3 hours | |
| 9 hours | |
| 5 hours | |
| 1 hour |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{90mi}{30mph} \)
3 hours