| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
How many hours does it take a car to travel 60 miles at an average speed of 15 miles per hour?
| 3 hours | |
| 5 hours | |
| 2 hours | |
| 4 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{60mi}{15mph} \)
4 hours
A machine in a factory has an error rate of 2 parts per 100. The machine normally runs 24 hours a day and produces 5 parts per hour. Yesterday the machine was shut down for 4 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 156.2 | |
| 162.5 | |
| 98 | |
| 128 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{2}{100} \) x 5 = \( \frac{2 \times 5}{100} \) = \( \frac{10}{100} \) = 0.1 errors per hour
So, in an average hour, the machine will produce 5 - 0.1 = 4.9 error free parts.
The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 4.9 = 98 error free parts were produced yesterday.
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
integer |
|
mixed number |
|
improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
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).
If a mayor is elected with 77% of the votes cast and 83% of a town's 22,000 voters cast a vote, how many votes did the mayor receive?
| 11,504 | |
| 10,408 | |
| 14,060 | |
| 15,886 |
If 83% of the town's 22,000 voters cast ballots the number of votes cast is:
(\( \frac{83}{100} \)) x 22,000 = \( \frac{1,826,000}{100} \) = 18,260
The mayor got 77% of the votes cast which is:
(\( \frac{77}{100} \)) x 18,260 = \( \frac{1,406,020}{100} \) = 14,060 votes.