| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Which of the following is not a prime number?
5 |
|
9 |
|
2 |
|
7 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is 7c4 x 6c3?
| 42c12 | |
| 42c7 | |
| 42c | |
| 42c3 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
7c4 x 6c3
(7 x 6)c(4 + 3)
42c7
12 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 4 | |
| 8 | |
| 1 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 12 people needing transportation leaving 12 - 8 = 4 who will have to find other transportation.
Frank loaned Jennifer $1,400 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,512 | |
| $1,484 | |
| $1,414 | |
| $1,526 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,400
i = 0.08 x $1,400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,400 + $112What is \( 9 \)\( \sqrt{27} \) + \( 2 \)\( \sqrt{3} \)
| 11\( \sqrt{9} \) | |
| 18\( \sqrt{9} \) | |
| 18\( \sqrt{27} \) | |
| 29\( \sqrt{3} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{27} \) + 2\( \sqrt{3} \)
9\( \sqrt{9 \times 3} \) + 2\( \sqrt{3} \)
9\( \sqrt{3^2 \times 3} \) + 2\( \sqrt{3} \)
(9)(3)\( \sqrt{3} \) + 2\( \sqrt{3} \)
27\( \sqrt{3} \) + 2\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
27\( \sqrt{3} \) + 2\( \sqrt{3} \)