| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
If a mayor is elected with 65% of the votes cast and 49% of a town's 27,000 voters cast a vote, how many votes did the mayor receive?
| 8,600 | |
| 8,467 | |
| 11,113 | |
| 11,510 |
If 49% of the town's 27,000 voters cast ballots the number of votes cast is:
(\( \frac{49}{100} \)) x 27,000 = \( \frac{1,323,000}{100} \) = 13,230
The mayor got 65% of the votes cast which is:
(\( \frac{65}{100} \)) x 13,230 = \( \frac{859,950}{100} \) = 8,600 votes.
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Charlie buys two shirts, each with a regular price of $33, how much will he pay for both shirts?
| $16.50 | |
| $41.25 | |
| $36.30 | |
| $49.50 |
By buying two shirts, Charlie will save $33 x \( \frac{50}{100} \) = \( \frac{$33 x 50}{100} \) = \( \frac{$1650}{100} \) = $16.50 on the second shirt.
So, his total cost will be
$33.00 + ($33.00 - $16.50)
$33.00 + $16.50
$49.50
How many 8-passenger vans will it take to drive all 43 members of the football team to an away game?
| 4 vans | |
| 11 vans | |
| 7 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 = \( \frac{43}{8} \) = 5\(\frac{3}{8}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
What is 8\( \sqrt{9} \) x 6\( \sqrt{2} \)?
| 144\( \sqrt{2} \) | |
| 14\( \sqrt{18} \) | |
| 14\( \sqrt{2} \) | |
| 14\( \sqrt{9} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{9} \) x 6\( \sqrt{2} \)
(8 x 6)\( \sqrt{9 \times 2} \)
48\( \sqrt{18} \)
Now we need to simplify the radical:
48\( \sqrt{18} \)
48\( \sqrt{2 \times 9} \)
48\( \sqrt{2 \times 3^2} \)
(48)(3)\( \sqrt{2} \)
144\( \sqrt{2} \)