| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
What is \( \frac{21\sqrt{28}}{7\sqrt{7}} \)?
| 4 \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{4} \) | |
| \(\frac{1}{4}\) \( \sqrt{3} \) | |
| 3 \( \sqrt{\frac{1}{4}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{21\sqrt{28}}{7\sqrt{7}} \)
\( \frac{21}{7} \) \( \sqrt{\frac{28}{7}} \)
3 \( \sqrt{4} \)
How many 10-passenger vans will it take to drive all 39 members of the football team to an away game?
| 8 vans | |
| 4 vans | |
| 10 vans | |
| 9 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{39}{10} \) = 3\(\frac{9}{10}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
Convert 0.0000756 to scientific notation.
| 7.56 x 10-5 | |
| 75.6 x 10-6 | |
| 0.756 x 10-4 | |
| 7.56 x 10-6 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0000756 in scientific notation is 7.56 x 10-5
What is the least common multiple of 6 and 14?
| 23 | |
| 16 | |
| 42 | |
| 5 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
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distributive property for division |
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commutative property for division |
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commutative 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.