| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is \( \frac{5}{9} \) + \( \frac{9}{15} \)?
| \( \frac{6}{9} \) | |
| \( \frac{9}{45} \) | |
| 1\(\frac{7}{45}\) | |
| 1 \( \frac{8}{45} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 5}{9 x 5} \) + \( \frac{9 x 3}{15 x 3} \)
\( \frac{25}{45} \) + \( \frac{27}{45} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{25 + 27}{45} \) = \( \frac{52}{45} \) = 1\(\frac{7}{45}\)
What is 2a5 x 8a3?
| 16a8 | |
| 10a5 | |
| 10a3 | |
| 16a-2 |
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:
2a5 x 8a3
(2 x 8)a(5 + 3)
16a8
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $37, how much will he pay for both shirts?
| $46.25 | |
| $14.80 | |
| $59.20 | |
| $22.20 |
By buying two shirts, Monty will save $37 x \( \frac{40}{100} \) = \( \frac{$37 x 40}{100} \) = \( \frac{$1480}{100} \) = $14.80 on the second shirt.
So, his total cost will be
$37.00 + ($37.00 - $14.80)
$37.00 + $22.20
$59.20
Which of the following is not a prime number?
9 |
|
7 |
|
5 |
|
2 |
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.
Ezra loaned Charlie $1,400 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $98 | |
| $49 | |
| $30 | |
| $72 |
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 = 0.07 x $1,400
i = $98