| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
What is \( \frac{4}{9} \) ÷ \( \frac{4}{5} \)?
| \(\frac{4}{27}\) | |
| \(\frac{1}{49}\) | |
| \(\frac{1}{35}\) | |
| \(\frac{5}{9}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{9} \) ÷ \( \frac{4}{5} \) = \( \frac{4}{9} \) x \( \frac{5}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{9} \) x \( \frac{5}{4} \) = \( \frac{4 x 5}{9 x 4} \) = \( \frac{20}{36} \) = \(\frac{5}{9}\)
What is \( 6 \)\( \sqrt{48} \) + \( 6 \)\( \sqrt{3} \)
| 36\( \sqrt{48} \) | |
| 36\( \sqrt{144} \) | |
| 30\( \sqrt{3} \) | |
| 12\( \sqrt{144} \) |
To add these radicals together their radicands must be the same:
6\( \sqrt{48} \) + 6\( \sqrt{3} \)
6\( \sqrt{16 \times 3} \) + 6\( \sqrt{3} \)
6\( \sqrt{4^2 \times 3} \) + 6\( \sqrt{3} \)
(6)(4)\( \sqrt{3} \) + 6\( \sqrt{3} \)
24\( \sqrt{3} \) + 6\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
24\( \sqrt{3} \) + 6\( \sqrt{3} \)How many 12-passenger vans will it take to drive all 58 members of the football team to an away game?
| 7 vans | |
| 5 vans | |
| 8 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{58}{12} \) = 4\(\frac{5}{6}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = 1 |
|
b1 = b |
|
all of these are false |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
What is the least common multiple of 3 and 5?
| 2 | |
| 11 | |
| 15 | |
| 6 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 have in common.