| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
How many hours does it take a car to travel 400 miles at an average speed of 50 miles per hour?
| 8 hours | |
| 2 hours | |
| 1 hour | |
| 6 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 = \( \frac{400mi}{50mph} \)
8 hours
If a mayor is elected with 58% of the votes cast and 82% of a town's 49,000 voters cast a vote, how many votes did the mayor receive?
| 23,304 | |
| 32,144 | |
| 26,921 | |
| 20,894 |
If 82% of the town's 49,000 voters cast ballots the number of votes cast is:
(\( \frac{82}{100} \)) x 49,000 = \( \frac{4,018,000}{100} \) = 40,180
The mayor got 58% of the votes cast which is:
(\( \frac{58}{100} \)) x 40,180 = \( \frac{2,330,440}{100} \) = 23,304 votes.
What is (b2)4?
| b6 | |
| 4b2 | |
| b8 | |
| b2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b2)4If the ratio of home fans to visiting fans in a crowd is 2:1 and all 38,000 seats in a stadium are filled, how many home fans are in attendance?
| 40,833 | |
| 41,667 | |
| 25,333 | |
| 28,667 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
38,000 fans x \( \frac{2}{3} \) = \( \frac{76000}{3} \) = 25,333 fans.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?
| 27\(\frac{1}{2}\)% | |
| 30% | |
| 20% | |
| 35% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%