| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
How many hours does it take a car to travel 240 miles at an average speed of 60 miles per hour?
| 7 hours | |
| 8 hours | |
| 4 hours | |
| 9 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 = \( \frac{240mi}{60mph} \)
4 hours
If a mayor is elected with 54% of the votes cast and 49% of a town's 25,000 voters cast a vote, how many votes did the mayor receive?
| 6,248 | |
| 6,615 | |
| 7,473 | |
| 7,105 |
If 49% of the town's 25,000 voters cast ballots the number of votes cast is:
(\( \frac{49}{100} \)) x 25,000 = \( \frac{1,225,000}{100} \) = 12,250
The mayor got 54% of the votes cast which is:
(\( \frac{54}{100} \)) x 12,250 = \( \frac{661,500}{100} \) = 6,615 votes.
What is 2\( \sqrt{2} \) x 9\( \sqrt{2} \)?
| 11\( \sqrt{2} \) | |
| 36 | |
| 11\( \sqrt{4} \) | |
| 18\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
2\( \sqrt{2} \) x 9\( \sqrt{2} \)
(2 x 9)\( \sqrt{2 \times 2} \)
18\( \sqrt{4} \)
Now we need to simplify the radical:
18\( \sqrt{4} \)
18\( \sqrt{2^2} \)
(18)(2)
36
Which of the following statements about exponents is false?
all of these are false |
|
b0 = 1 |
|
b1 = b |
|
b1 = 1 |
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).
In a class of 23 students, 7 are taking German and 5 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 13 | |
| 11 | |
| 10 | |
| 21 |
The number of students taking German or Spanish is 7 + 5 = 12. Of that group of 12, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 12 - 2 = 10 who are taking at least one language. 23 - 10 = 13 students who are not taking either language.