| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Ezra buys two shirts, each with a regular price of $27, how much will he pay for both shirts?
| $51.30 | |
| $29.70 | |
| $24.30 | |
| $28.35 |
By buying two shirts, Ezra will save $27 x \( \frac{10}{100} \) = \( \frac{$27 x 10}{100} \) = \( \frac{$270}{100} \) = $2.70 on the second shirt.
So, his total cost will be
$27.00 + ($27.00 - $2.70)
$27.00 + $24.30
$51.30
What is \( \frac{8}{4} \) - \( \frac{7}{8} \)?
| 2 \( \frac{4}{10} \) | |
| 2 \( \frac{7}{8} \) | |
| 1\(\frac{1}{8}\) | |
| 2 \( \frac{1}{8} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] 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 4 and 8 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 2}{4 x 2} \) - \( \frac{7 x 1}{8 x 1} \)
\( \frac{16}{8} \) - \( \frac{7}{8} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{16 - 7}{8} \) = \( \frac{9}{8} \) = 1\(\frac{1}{8}\)
How many 14-passenger vans will it take to drive all 53 members of the football team to an away game?
| 11 vans | |
| 4 vans | |
| 9 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{53}{14} \) = 3\(\frac{11}{14}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
How many hours does it take a car to travel 90 miles at an average speed of 15 miles per hour?
| 8 hours | |
| 6 hours | |
| 5 hours | |
| 2 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{90mi}{15mph} \)
6 hours
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.