| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
What is \( \frac{2}{9} \) x \( \frac{1}{8} \)?
| \(\frac{1}{4}\) | |
| \(\frac{1}{36}\) | |
| \(\frac{2}{21}\) | |
| \(\frac{2}{15}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{1}{8} \) = \( \frac{2 x 1}{9 x 8} \) = \( \frac{2}{72} \) = \(\frac{1}{36}\)
Alex loaned Betty $1,200 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?
| $1,212 | |
| $1,296 | |
| $1,272 | |
| $1,248 |
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 $1,200
i = 0.04 x $1,200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,200 + $48The total water usage for a city is 25,000 gallons each day. Of that total, 21% is for personal use and 33% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 11,000 | |
| 1,700 | |
| 3,000 | |
| 5,600 |
33% of the water consumption is industrial use and 21% is personal use so (33% - 21%) = 12% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{12}{100} \) x 25,000 gallons = 3,000 gallons.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Monty buys two shirts, each with a regular price of $28, how much money will he save?
| $1.40 | |
| $5.60 | |
| $14.00 | |
| $8.40 |
By buying two shirts, Monty will save $28 x \( \frac{5}{100} \) = \( \frac{$28 x 5}{100} \) = \( \frac{$140}{100} \) = $1.40 on the second shirt.
If a rectangle is twice as long as it is wide and has a perimeter of 54 meters, what is the area of the rectangle?
| 128 m2 | |
| 162 m2 | |
| 18 m2 | |
| 2 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 54 meters so the equation becomes: 2w + 2h = 54.
Putting these two equations together and solving for width (w):
2w + 2h = 54
w + h = \( \frac{54}{2} \)
w + h = 27
w = 27 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 27 - 2w
3w = 27
w = \( \frac{27}{3} \)
w = 9
Since h = 2w that makes h = (2 x 9) = 18 and the area = h x w = 9 x 18 = 162 m2