| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
20 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 5 | |
| 8 | |
| 3 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 20 people needing transportation leaving 20 - 15 = 5 who will have to find other transportation.
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 32,000 seats in a stadium are filled, how many home fans are in attendance?
| 20,667 | |
| 25,600 | |
| 29,600 | |
| 30,000 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
32,000 fans x \( \frac{4}{5} \) = \( \frac{128000}{5} \) = 25,600 fans.
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 2 cups | |
| 2\(\frac{3}{8}\) cups | |
| 3\(\frac{3}{8}\) cups | |
| 2\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{3}{8}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{16}{8} \) cups
2 cups
What is 5y6 + 9y6?
| 14y12 | |
| 14y6 | |
| 14y-12 | |
| -4y6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
5y6 + 9y6
(5 + 9)y6
14y6
What is \( \frac{5}{8} \) + \( \frac{5}{12} \)?
| 2 \( \frac{8}{15} \) | |
| 1\(\frac{1}{24}\) | |
| 1 \( \frac{1}{7} \) | |
| 1 \( \frac{2}{24} \) |
To add 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 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 3}{8 x 3} \) + \( \frac{5 x 2}{12 x 2} \)
\( \frac{15}{24} \) + \( \frac{10}{24} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{15 + 10}{24} \) = \( \frac{25}{24} \) = 1\(\frac{1}{24}\)