| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
4! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 38,000 seats in a stadium are filled, how many home fans are in attendance?
| 28,000 | |
| 24,000 | |
| 38,333 | |
| 28,500 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
38,000 fans x \( \frac{3}{4} \) = \( \frac{114000}{4} \) = 28,500 fans.
Convert y-3 to remove the negative exponent.
| \( \frac{-1}{-3y} \) | |
| \( \frac{-1}{-3y^{3}} \) | |
| \( \frac{1}{y^{-3}} \) | |
| \( \frac{1}{y^3} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Monty buys two shirts, each with a regular price of $29, how much will he pay for both shirts?
| $44.95 | |
| $15.95 | |
| $43.50 | |
| $13.05 |
By buying two shirts, Monty will save $29 x \( \frac{45}{100} \) = \( \frac{$29 x 45}{100} \) = \( \frac{$1305}{100} \) = $13.05 on the second shirt.
So, his total cost will be
$29.00 + ($29.00 - $13.05)
$29.00 + $15.95
$44.95
If a mayor is elected with 65% of the votes cast and 56% of a town's 26,000 voters cast a vote, how many votes did the mayor receive?
| 8,154 | |
| 11,502 | |
| 10,774 | |
| 9,464 |
If 56% of the town's 26,000 voters cast ballots the number of votes cast is:
(\( \frac{56}{100} \)) x 26,000 = \( \frac{1,456,000}{100} \) = 14,560
The mayor got 65% of the votes cast which is:
(\( \frac{65}{100} \)) x 14,560 = \( \frac{946,400}{100} \) = 9,464 votes.