| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
Jennifer scored 76% on her final exam. If each question was worth 2 points and there were 160 possible points on the exam, how many questions did Jennifer answer correctly?
| 51 | |
| 61 | |
| 63 | |
| 55 |
Jennifer scored 76% on the test meaning she earned 76% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.76 = 122 points. Each question is worth 2 points so she got \( \frac{122}{2} \) = 61 questions right.
What is \( \frac{-4c^9}{8c^3} \)?
| -\(\frac{1}{2}\)c-6 | |
| -2c12 | |
| -\(\frac{1}{2}\)c6 | |
| -\(\frac{1}{2}\)c27 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-4c^9}{8c^3} \)
\( \frac{-4}{8} \) c(9 - 3)
-\(\frac{1}{2}\)c6
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Roger buys two shirts, each with a regular price of $49, how much will he pay for both shirts?
| $46.55 | |
| $51.45 | |
| $95.55 | |
| $68.60 |
By buying two shirts, Roger will save $49 x \( \frac{5}{100} \) = \( \frac{$49 x 5}{100} \) = \( \frac{$245}{100} \) = $2.45 on the second shirt.
So, his total cost will be
$49.00 + ($49.00 - $2.45)
$49.00 + $46.55
$95.55
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
improper fraction |
|
integer |
|
mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
If a rectangle is twice as long as it is wide and has a perimeter of 12 meters, what is the area of the rectangle?
| 8 m2 | |
| 32 m2 | |
| 18 m2 | |
| 128 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 12 meters so the equation becomes: 2w + 2h = 12.
Putting these two equations together and solving for width (w):
2w + 2h = 12
w + h = \( \frac{12}{2} \)
w + h = 6
w = 6 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 6 - 2w
3w = 6
w = \( \frac{6}{3} \)
w = 2
Since h = 2w that makes h = (2 x 2) = 4 and the area = h x w = 2 x 4 = 8 m2