| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
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 $35, how much will he pay for both shirts?
| $66.50 | |
| $3.50 | |
| $31.50 | |
| $47.25 |
By buying two shirts, Roger will save $35 x \( \frac{10}{100} \) = \( \frac{$35 x 10}{100} \) = \( \frac{$350}{100} \) = $3.50 on the second shirt.
So, his total cost will be
$35.00 + ($35.00 - $3.50)
$35.00 + $31.50
$66.50
7 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 5 | |
| 6 | |
| 9 |
There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 7 people needing transportation leaving 7 - 6 = 1 who will have to find other transportation.
What is \( 9 \)\( \sqrt{28} \) + \( 6 \)\( \sqrt{7} \)
| 54\( \sqrt{7} \) | |
| 24\( \sqrt{7} \) | |
| 54\( \sqrt{28} \) | |
| 54\( \sqrt{4} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{28} \) + 6\( \sqrt{7} \)
9\( \sqrt{4 \times 7} \) + 6\( \sqrt{7} \)
9\( \sqrt{2^2 \times 7} \) + 6\( \sqrt{7} \)
(9)(2)\( \sqrt{7} \) + 6\( \sqrt{7} \)
18\( \sqrt{7} \) + 6\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
18\( \sqrt{7} \) + 6\( \sqrt{7} \)Find the average of the following numbers: 9, 3, 7, 5.
| 5 | |
| 7 | |
| 10 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 3 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6
If a mayor is elected with 87% of the votes cast and 59% of a town's 44,000 voters cast a vote, how many votes did the mayor receive?
| 19,989 | |
| 22,585 | |
| 22,326 | |
| 13,499 |
If 59% of the town's 44,000 voters cast ballots the number of votes cast is:
(\( \frac{59}{100} \)) x 44,000 = \( \frac{2,596,000}{100} \) = 25,960
The mayor got 87% of the votes cast which is:
(\( \frac{87}{100} \)) x 25,960 = \( \frac{2,258,520}{100} \) = 22,585 votes.