| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
If there were a total of 200 raffle tickets sold and you bought 10 tickets, what's the probability that you'll win the raffle?
| 4% | |
| 5% | |
| 14% | |
| 10% |
You have 10 out of the total of 200 raffle tickets sold so you have a (\( \frac{10}{200} \)) x 100 = \( \frac{10 \times 100}{200} \) = \( \frac{1000}{200} \) = 5% chance to win the raffle.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Roger buys two shirts, each with a regular price of $28, how much money will he save?
| $7.00 | |
| $2.80 | |
| $9.80 | |
| $5.60 |
By buying two shirts, Roger will save $28 x \( \frac{10}{100} \) = \( \frac{$28 x 10}{100} \) = \( \frac{$280}{100} \) = $2.80 on the second shirt.
20 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 12 | |
| 6 | |
| 4 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 20 people needing transportation leaving 20 - 16 = 4 who will have to find other transportation.
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
|
commutative property for division |
|
distributive property for division |
|
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.
What is \( 5 \)\( \sqrt{8} \) + \( 8 \)\( \sqrt{2} \)
| 18\( \sqrt{2} \) | |
| 40\( \sqrt{2} \) | |
| 13\( \sqrt{16} \) | |
| 13\( \sqrt{8} \) |
To add these radicals together their radicands must be the same:
5\( \sqrt{8} \) + 8\( \sqrt{2} \)
5\( \sqrt{4 \times 2} \) + 8\( \sqrt{2} \)
5\( \sqrt{2^2 \times 2} \) + 8\( \sqrt{2} \)
(5)(2)\( \sqrt{2} \) + 8\( \sqrt{2} \)
10\( \sqrt{2} \) + 8\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
10\( \sqrt{2} \) + 8\( \sqrt{2} \)