| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
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?
| 8 | |
| 9 | |
| 4 | |
| 75 |
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.
Simplify \( \frac{16}{68} \).
| \( \frac{1}{3} \) | |
| \( \frac{1}{2} \) | |
| \( \frac{6}{13} \) | |
| \( \frac{4}{17} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{68} \) = \( \frac{\frac{16}{4}}{\frac{68}{4}} \) = \( \frac{4}{17} \)
Convert y-4 to remove the negative exponent.
| \( \frac{4}{y} \) | |
| \( \frac{1}{y^4} \) | |
| \( \frac{-4}{-y} \) | |
| \( \frac{-4}{y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 10 small cakes per hour. The kitchen is available for 4 hours and 23 large cakes and 430 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 13 | |
| 6 | |
| 25 | |
| 12 |
If a single cook can bake 4 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 4 x 4 = 16 large cakes during that time. 23 large cakes are needed for the party so \( \frac{23}{16} \) = 1\(\frac{7}{16}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 10 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 10 x 4 = 40 small cakes during that time. 430 small cakes are needed for the party so \( \frac{430}{40} \) = 10\(\frac{3}{4}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 2 + 11 = 13 cooks.
What is the greatest common factor of 60 and 76?
| 30 | |
| 4 | |
| 41 | |
| 26 |
The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 the greatest factor 60 and 76 have in common.