| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 5 | |
| 10 | |
| 2 | |
| 5 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5
What is \( \frac{2}{9} \) x \( \frac{1}{5} \)?
| \(\frac{2}{45}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{9}{35}\) | |
| \(\frac{2}{9}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{1}{5} \) = \( \frac{2 x 1}{9 x 5} \) = \( \frac{2}{45} \) = \(\frac{2}{45}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $25, how much money will he save?
| $2.50 | |
| $11.25 | |
| $1.25 | |
| $6.25 |
By buying two shirts, Charlie will save $25 x \( \frac{5}{100} \) = \( \frac{$25 x 5}{100} \) = \( \frac{$125}{100} \) = $1.25 on the second shirt.
4! = ?
4 x 3 |
|
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
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.
Convert a-3 to remove the negative exponent.
| \( \frac{-3}{-a} \) | |
| \( \frac{1}{a^3} \) | |
| \( \frac{3}{a} \) | |
| \( \frac{-1}{-3a} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.