| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
What is the distance in miles of a trip that takes 3 hours at an average speed of 40 miles per hour?
| 70 miles | |
| 120 miles | |
| 360 miles | |
| 330 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 = \( 40mph \times 3h \)
120 miles
Alex loaned Latoya $800 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $864 | |
| $832 | |
| $808 | |
| $816 |
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 $800
i = 0.04 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $32If the ratio of home fans to visiting fans in a crowd is 3:1 and all 34,000 seats in a stadium are filled, how many home fans are in attendance?
| 25,500 | |
| 27,333 | |
| 30,000 | |
| 35,833 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
34,000 fans x \( \frac{3}{4} \) = \( \frac{102000}{4} \) = 25,500 fans.
What is (c3)4?
| c | |
| c7 | |
| c12 | |
| 3c4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c3)4If a mayor is elected with 51% of the votes cast and 76% of a town's 19,000 voters cast a vote, how many votes did the mayor receive?
| 7,364 | |
| 9,242 | |
| 12,418 | |
| 8,231 |
If 76% of the town's 19,000 voters cast ballots the number of votes cast is:
(\( \frac{76}{100} \)) x 19,000 = \( \frac{1,444,000}{100} \) = 14,440
The mayor got 51% of the votes cast which is:
(\( \frac{51}{100} \)) x 14,440 = \( \frac{736,440}{100} \) = 7,364 votes.