| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
What is the distance in miles of a trip that takes 3 hours at an average speed of 60 miles per hour?
| 440 miles | |
| 60 miles | |
| 180 miles | |
| 360 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 60mph \times 3h \)
180 miles
Betty scored 78% on her final exam. If each question was worth 4 points and there were 320 possible points on the exam, how many questions did Betty answer correctly?
| 47 | |
| 51 | |
| 62 | |
| 63 |
Betty scored 78% on the test meaning she earned 78% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.78 = 248 points. Each question is worth 4 points so she got \( \frac{248}{4} \) = 62 questions right.
Damon loaned Christine $1,500 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,530 | |
| $1,635 | |
| $1,605 | |
| $1,590 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,500
i = 0.02 x $1,500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $30Which of the following statements about exponents is false?
b1 = b |
|
b1 = 1 |
|
b0 = 1 |
|
all of these are false |
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).
A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 6 parts per hour. Yesterday the machine was shut down for 4 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 109.2 | |
| 183.3 | |
| 100.8 | |
| 128.3 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{9}{100} \) x 6 = \( \frac{9 \times 6}{100} \) = \( \frac{54}{100} \) = 0.54 errors per hour
So, in an average hour, the machine will produce 6 - 0.54 = 5.46 error free parts.
The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 5.46 = 109.2 error free parts were produced yesterday.