| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
How many 12-passenger vans will it take to drive all 41 members of the football team to an away game?
| 12 vans | |
| 5 vans | |
| 3 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{41}{12} \) = 3\(\frac{5}{12}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Monty buys two shirts, each with a regular price of $31, how much will he pay for both shirts?
| $57.35 | |
| $35.65 | |
| $43.40 | |
| $26.35 |
By buying two shirts, Monty will save $31 x \( \frac{15}{100} \) = \( \frac{$31 x 15}{100} \) = \( \frac{$465}{100} \) = $4.65 on the second shirt.
So, his total cost will be
$31.00 + ($31.00 - $4.65)
$31.00 + $26.35
$57.35
Which of the following is a mixed number?
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
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\({5 \over 7} \) |
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\({7 \over 5} \) |
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.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
greatest common multiple |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
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?
| 7:4 | |
| 49:2 | |
| 9:8 | |
| 9:4 |
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.