| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
What is \( \frac{4}{8} \) - \( \frac{5}{10} \)?
| \( \frac{2}{40} \) | |
| \( \frac{5}{40} \) | |
| \( \frac{3}{7} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 5}{8 x 5} \) - \( \frac{5 x 4}{10 x 4} \)
\( \frac{20}{40} \) - \( \frac{20}{40} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{20 - 20}{40} \) = \( \frac{0}{40} \) =
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?
| 9:8 | |
| 3:1 | |
| 49:2 | |
| 9:2 |
The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. 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 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.
Which of the following is not an integer?
-1 |
|
1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
The total water usage for a city is 50,000 gallons each day. Of that total, 32% is for personal use and 48% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 11,550 | |
| 5,200 | |
| 13,200 | |
| 8,000 |
48% of the water consumption is industrial use and 32% is personal use so (48% - 32%) = 16% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{16}{100} \) x 50,000 gallons = 8,000 gallons.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Frank buys two shirts, each with a regular price of $25, how much will he pay for both shirts?
| $11.25 | |
| $31.25 | |
| $38.75 | |
| $13.75 |
By buying two shirts, Frank will save $25 x \( \frac{45}{100} \) = \( \frac{$25 x 45}{100} \) = \( \frac{$1125}{100} \) = $11.25 on the second shirt.
So, his total cost will be
$25.00 + ($25.00 - $11.25)
$25.00 + $13.75
$38.75