| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 41 | |
| 38 | |
| 46 | |
| 34 |
The equation for this sequence is:
an = an-1 + 8
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 8
a6 = 33 + 8
a6 = 41
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 15 small cakes per hour. The kitchen is available for 3 hours and 25 large cakes and 120 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?
| 14 | |
| 6 | |
| 9 | |
| 5 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 3 x 3 = 9 large cakes during that time. 25 large cakes are needed for the party so \( \frac{25}{9} \) = 2\(\frac{7}{9}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 15 x 3 = 45 small cakes during that time. 120 small cakes are needed for the party so \( \frac{120}{45} \) = 2\(\frac{2}{3}\) 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 3 + 3 = 6 cooks.
Convert y-4 to remove the negative exponent.
| \( \frac{-4}{-y} \) | |
| \( \frac{-1}{-4y} \) | |
| \( \frac{1}{y^4} \) | |
| \( \frac{-1}{y^{-4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 |
|
none of these is correct |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
11 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 5 | |
| 6 | |
| 3 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 11 people needing transportation leaving 11 - 10 = 1 who will have to find other transportation.