| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
What is \( \frac{5c^7}{6c^4} \)?
| \(\frac{5}{6}\)c3 | |
| 1\(\frac{1}{5}\)c3 | |
| \(\frac{5}{6}\)c\(\frac{4}{7}\) | |
| \(\frac{5}{6}\)c11 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{5c^7}{6c^4} \)
\( \frac{5}{6} \) c(7 - 4)
\(\frac{5}{6}\)c3
If a mayor is elected with 85% of the votes cast and 82% of a town's 14,000 voters cast a vote, how many votes did the mayor receive?
| 5,970 | |
| 9,758 | |
| 6,773 | |
| 6,429 |
If 82% of the town's 14,000 voters cast ballots the number of votes cast is:
(\( \frac{82}{100} \)) x 14,000 = \( \frac{1,148,000}{100} \) = 11,480
The mayor got 85% of the votes cast which is:
(\( \frac{85}{100} \)) x 11,480 = \( \frac{975,800}{100} \) = 9,758 votes.
How many 11-passenger vans will it take to drive all 81 members of the football team to an away game?
| 5 vans | |
| 15 vans | |
| 12 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{81}{11} \) = 7\(\frac{4}{11}\)
So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 35% | |
| 25% |
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 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%
| 6.0 | |
| 1 | |
| 3.6 | |
| 1.8 |
1