| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is 2c3 + 5c3?
| 7c3 | |
| -3c-3 | |
| 7c-6 | |
| -3c3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
2c3 + 5c3
(2 + 5)c3
7c3
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Frank buys two shirts, each with a regular price of $46, how much will he pay for both shirts?
| $48.30 | |
| $87.40 | |
| $4.60 | |
| $69.00 |
By buying two shirts, Frank will save $46 x \( \frac{10}{100} \) = \( \frac{$46 x 10}{100} \) = \( \frac{$460}{100} \) = $4.60 on the second shirt.
So, his total cost will be
$46.00 + ($46.00 - $4.60)
$46.00 + $41.40
$87.40
What is \( \frac{2}{6} \) ÷ \( \frac{1}{5} \)?
| \(\frac{1}{6}\) | |
| 1\(\frac{2}{3}\) | |
| \(\frac{1}{24}\) | |
| \(\frac{6}{35}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{6} \) ÷ \( \frac{1}{5} \) = \( \frac{2}{6} \) x \( \frac{5}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{5}{1} \) = \( \frac{2 x 5}{6 x 1} \) = \( \frac{10}{6} \) = 1\(\frac{2}{3}\)
4! = ?
3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
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.
A tiger in a zoo has consumed 72 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 144 pounds?
| 12 | |
| 6 | |
| 11 | |
| 4 |
If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 144 - 72 = 72 more pounds of food to reach 144 pounds total. At 12 pounds of food per day that's \( \frac{72}{12} \) = 6 more days.