| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
What is the greatest common factor of 28 and 32?
| 9 | |
| 7 | |
| 4 | |
| 21 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 32 are [1, 2, 4, 8, 16, 32]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 32 have in common.
If there were a total of 50 raffle tickets sold and you bought 1 tickets, what's the probability that you'll win the raffle?
| 10% | |
| 5% | |
| 9% | |
| 3% |
You have 1 out of the total of 50 raffle tickets sold so you have a (\( \frac{1}{50} \)) x 100 = \( \frac{1 \times 100}{50} \) = \( \frac{100}{50} \) = 3% chance to win the raffle.
16 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
| 7 | |
| 4 | |
| 8 | |
| 5 |
There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 16 people needing transportation leaving 16 - 12 = 4 who will have to find other transportation.
What is (a4)3?
| a12 | |
| 4a3 | |
| a | |
| a-1 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a4)3A 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?
| 1:1 | |
| 49:2 | |
| 3:6 | |
| 7:6 |
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.