| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
If a mayor is elected with 64% of the votes cast and 49% of a town's 16,000 voters cast a vote, how many votes did the mayor receive?
| 7,056 | |
| 5,018 | |
| 6,664 | |
| 5,645 |
If 49% of the town's 16,000 voters cast ballots the number of votes cast is:
(\( \frac{49}{100} \)) x 16,000 = \( \frac{784,000}{100} \) = 7,840
The mayor got 64% of the votes cast which is:
(\( \frac{64}{100} \)) x 7,840 = \( \frac{501,760}{100} \) = 5,018 votes.
What is the next number in this sequence: 1, 3, 5, 7, 9, __________ ?
| 19 | |
| 15 | |
| 13 | |
| 11 |
The equation for this sequence is:
an = an-1 + 2
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 2
a6 = 9 + 2
a6 = 11
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
|
associative |
|
distributive |
|
commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
If a rectangle is twice as long as it is wide and has a perimeter of 18 meters, what is the area of the rectangle?
| 2 m2 | |
| 162 m2 | |
| 18 m2 | |
| 98 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 18 meters so the equation becomes: 2w + 2h = 18.
Putting these two equations together and solving for width (w):
2w + 2h = 18
w + h = \( \frac{18}{2} \)
w + h = 9
w = 9 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 9 - 2w
3w = 9
w = \( \frac{9}{3} \)
w = 3
Since h = 2w that makes h = (2 x 3) = 6 and the area = h x w = 3 x 6 = 18 m2
Frank loaned Betty $800 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $808 | |
| $872 | |
| $824 | |
| $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 = 0.03 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $24