| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
Christine scored 93% on her final exam. If each question was worth 2 points and there were 160 possible points on the exam, how many questions did Christine answer correctly?
| 76 | |
| 61 | |
| 81 | |
| 74 |
Christine scored 93% on the test meaning she earned 93% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.93 = 148 points. Each question is worth 2 points so she got \( \frac{148}{2} \) = 74 questions right.
If all of a roofing company's 8 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?
| 14 | |
| 13 | |
| 3 | |
| 16 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 2 crews so there are \( \frac{8}{2} \) = 4 workers on a crew. 6 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 6 x 4 = 24 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 24 - 8 = 16 new staff for the busy season.
Which of the following statements about exponents is false?
all of these are false |
|
b1 = 1 |
|
b0 = 1 |
|
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).
What is -7y6 x 8y3?
| -56y3 | |
| -56y9 | |
| -56y6 | |
| y9 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-7y6 x 8y3
(-7 x 8)y(6 + 3)
-56y9
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Bob buys two shirts, each with a regular price of $21, how much will he pay for both shirts?
| $31.50 | |
| $16.80 | |
| $4.20 | |
| $37.80 |
By buying two shirts, Bob will save $21 x \( \frac{20}{100} \) = \( \frac{$21 x 20}{100} \) = \( \frac{$420}{100} \) = $4.20 on the second shirt.
So, his total cost will be
$21.00 + ($21.00 - $4.20)
$21.00 + $16.80
$37.80