| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
The total water usage for a city is 35,000 gallons each day. Of that total, 27% is for personal use and 53% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 11,000 | |
| 9,100 | |
| 10,500 | |
| 2,200 |
53% of the water consumption is industrial use and 27% is personal use so (53% - 27%) = 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.
Which of the following is not an integer?
1 |
|
0 |
|
-1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common multiple |
|
greatest common factor |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If a rectangle is twice as long as it is wide and has a perimeter of 42 meters, what is the area of the rectangle?
| 32 m2 | |
| 8 m2 | |
| 50 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 42 meters so the equation becomes: 2w + 2h = 42.
Putting these two equations together and solving for width (w):
2w + 2h = 42
w + h = \( \frac{42}{2} \)
w + h = 21
w = 21 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 21 - 2w
3w = 21
w = \( \frac{21}{3} \)
w = 7
Since h = 2w that makes h = (2 x 7) = 14 and the area = h x w = 7 x 14 = 98 m2
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Charlie buys two shirts, each with a regular price of $11, how much will he pay for both shirts?
| $18.15 | |
| $16.50 | |
| $7.15 | |
| $15.40 |
By buying two shirts, Charlie will save $11 x \( \frac{35}{100} \) = \( \frac{$11 x 35}{100} \) = \( \frac{$385}{100} \) = $3.85 on the second shirt.
So, his total cost will be
$11.00 + ($11.00 - $3.85)
$11.00 + $7.15
$18.15