| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Damon buys two shirts, each with a regular price of $45, how much will he pay for both shirts?
| $20.25 | |
| $24.75 | |
| $56.25 | |
| $69.75 |
By buying two shirts, Damon will save $45 x \( \frac{45}{100} \) = \( \frac{$45 x 45}{100} \) = \( \frac{$2025}{100} \) = $20.25 on the second shirt.
So, his total cost will be
$45.00 + ($45.00 - $20.25)
$45.00 + $24.75
$69.75
Monica scored 77% on her final exam. If each question was worth 3 points and there were 180 possible points on the exam, how many questions did Monica answer correctly?
| 46 | |
| 55 | |
| 61 | |
| 40 |
Monica scored 77% on the test meaning she earned 77% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.77 = 138 points. Each question is worth 3 points so she got \( \frac{138}{3} \) = 46 questions right.
What is the distance in miles of a trip that takes 3 hours at an average speed of 15 miles per hour?
| 630 miles | |
| 480 miles | |
| 260 miles | |
| 45 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 15mph \times 3h \)
45 miles
What is \( \frac{5}{2} \) + \( \frac{2}{8} \)?
| 1 \( \frac{1}{8} \) | |
| \( \frac{1}{8} \) | |
| 1 \( \frac{6}{8} \) | |
| 2\(\frac{3}{4}\) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 4}{2 x 4} \) + \( \frac{2 x 1}{8 x 1} \)
\( \frac{20}{8} \) + \( \frac{2}{8} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{20 + 2}{8} \) = \( \frac{22}{8} \) = 2\(\frac{3}{4}\)
Which of these numbers is a factor of 40?
| 8 | |
| 14 | |
| 24 | |
| 2 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.