| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Bob buys two shirts, each with a regular price of $32, how much will he pay for both shirts?
| $35.20 | |
| $9.60 | |
| $40.00 | |
| $54.40 |
By buying two shirts, Bob will save $32 x \( \frac{30}{100} \) = \( \frac{$32 x 30}{100} \) = \( \frac{$960}{100} \) = $9.60 on the second shirt.
So, his total cost will be
$32.00 + ($32.00 - $9.60)
$32.00 + $22.40
$54.40
The total water usage for a city is 35,000 gallons each day. Of that total, 28% is for personal use and 54% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,000 | |
| 12,600 | |
| 3,300 | |
| 9,100 |
54% of the water consumption is industrial use and 28% is personal use so (54% - 28%) = 26% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{26}{100} \) x 35,000 gallons = 9,100 gallons.
What is 5y6 + 6y6?
| 11y36 | |
| -y-6 | |
| y6 | |
| 11y6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
5y6 + 6y6
(5 + 6)y6
11y6
Damon loaned April $700 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?
| $749 | |
| $756 | |
| $735 | |
| $714 |
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 $700
i = 0.08 x $700
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $700 + $56If a rectangle is twice as long as it is wide and has a perimeter of 48 meters, what is the area of the rectangle?
| 32 m2 | |
| 128 m2 | |
| 162 m2 | |
| 8 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 48 meters so the equation becomes: 2w + 2h = 48.
Putting these two equations together and solving for width (w):
2w + 2h = 48
w + h = \( \frac{48}{2} \)
w + h = 24
w = 24 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 24 - 2w
3w = 24
w = \( \frac{24}{3} \)
w = 8
Since h = 2w that makes h = (2 x 8) = 16 and the area = h x w = 8 x 16 = 128 m2