| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
If there were a total of 350 raffle tickets sold and you bought 17 tickets, what's the probability that you'll win the raffle?
| 13% | |
| 1% | |
| 6% | |
| 5% |
You have 17 out of the total of 350 raffle tickets sold so you have a (\( \frac{17}{350} \)) x 100 = \( \frac{17 \times 100}{350} \) = \( \frac{1700}{350} \) = 5% chance to win the raffle.
Convert 2,840,000 to scientific notation.
| 2.84 x 106 | |
| 2.84 x 107 | |
| 2.84 x 105 | |
| 0.284 x 107 |
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:
2,840,000 in scientific notation is 2.84 x 106
What is 7\( \sqrt{8} \) x 5\( \sqrt{6} \)?
| 35\( \sqrt{6} \) | |
| 140\( \sqrt{3} \) | |
| 12\( \sqrt{6} \) | |
| 12\( \sqrt{8} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{8} \) x 5\( \sqrt{6} \)
(7 x 5)\( \sqrt{8 \times 6} \)
35\( \sqrt{48} \)
Now we need to simplify the radical:
35\( \sqrt{48} \)
35\( \sqrt{3 \times 16} \)
35\( \sqrt{3 \times 4^2} \)
(35)(4)\( \sqrt{3} \)
140\( \sqrt{3} \)
A factor is a positive __________ that divides evenly into a given number.
mixed number |
|
improper fraction |
|
integer |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is the least common multiple of 5 and 9?
| 45 | |
| 24 | |
| 36 | |
| 44 |
The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 have in common.