| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
| 1 | |
| 1.8 | |
| 3.0 | |
| 2.4 |
1
What is \( \frac{4}{5} \) - \( \frac{5}{9} \)?
| \( \frac{8}{45} \) | |
| \(\frac{11}{45}\) | |
| 1 \( \frac{1}{45} \) | |
| 1 \( \frac{3}{45} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 9}{5 x 9} \) - \( \frac{5 x 5}{9 x 5} \)
\( \frac{36}{45} \) - \( \frac{25}{45} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{36 - 25}{45} \) = \( \frac{11}{45} \) = \(\frac{11}{45}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Damon buys two shirts, each with a regular price of $26, how much will he pay for both shirts?
| $41.60 | |
| $31.20 | |
| $37.70 | |
| $15.60 |
By buying two shirts, Damon will save $26 x \( \frac{40}{100} \) = \( \frac{$26 x 40}{100} \) = \( \frac{$1040}{100} \) = $10.40 on the second shirt.
So, his total cost will be
$26.00 + ($26.00 - $10.40)
$26.00 + $15.60
$41.60
How many hours does it take a car to travel 50 miles at an average speed of 25 miles per hour?
| 7 hours | |
| 2 hours | |
| 6 hours | |
| 3 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 = \( \frac{50mi}{25mph} \)
2 hours
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 5:6 | |
| 5:8 | |
| 25:2 | |
| 1:2 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.