| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 16 small cakes per hour. The kitchen is available for 3 hours and 26 large cakes and 280 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?
| 12 | |
| 15 | |
| 9 | |
| 11 |
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. 26 large cakes are needed for the party so \( \frac{26}{9} \) = 2\(\frac{8}{9}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 16 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 16 x 3 = 48 small cakes during that time. 280 small cakes are needed for the party so \( \frac{280}{48} \) = 5\(\frac{5}{6}\) 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 + 6 = 9 cooks.
Jennifer scored 87% on her final exam. If each question was worth 3 points and there were 90 possible points on the exam, how many questions did Jennifer answer correctly?
| 22 | |
| 35 | |
| 26 | |
| 21 |
Jennifer scored 87% on the test meaning she earned 87% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.87 = 78 points. Each question is worth 3 points so she got \( \frac{78}{3} \) = 26 questions right.
What is \( \frac{-5z^9}{8z^4} \)?
| -\(\frac{5}{8}\)z-5 | |
| -\(\frac{5}{8}\)z2\(\frac{1}{4}\) | |
| -\(\frac{5}{8}\)z5 | |
| -1\(\frac{3}{5}\)z13 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-5z^9}{8z^4} \)
\( \frac{-5}{8} \) z(9 - 4)
-\(\frac{5}{8}\)z5
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = 1 |
|
all of these are false |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Find the average of the following numbers: 16, 12, 17, 11.
| 9 | |
| 12 | |
| 14 | |
| 16 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 12 + 17 + 11}{4} \) = \( \frac{56}{4} \) = 14