| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
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?
| 50 m2 | |
| 18 m2 | |
| 162 m2 | |
| 128 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
Alex loaned Betty $1,500 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,530 | |
| $1,590 | |
| $1,620 | |
| $1,605 |
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 $1,500
i = 0.08 x $1,500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $120How many hours does it take a car to travel 60 miles at an average speed of 30 miles per hour?
| 6 hours | |
| 3 hours | |
| 9 hours | |
| 2 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 = \( \frac{60mi}{30mph} \)
2 hours
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
|
commutative |
|
associative |
|
PEDMAS |
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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Damon buys two shirts, each with a regular price of $39, how much will he pay for both shirts?
| $37.05 | |
| $46.80 | |
| $40.95 | |
| $76.05 |
By buying two shirts, Damon will save $39 x \( \frac{5}{100} \) = \( \frac{$39 x 5}{100} \) = \( \frac{$195}{100} \) = $1.95 on the second shirt.
So, his total cost will be
$39.00 + ($39.00 - $1.95)
$39.00 + $37.05
$76.05