| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.73 |
| Score | 0% | 55% |
The total water usage for a city is 25,000 gallons each day. Of that total, 32% is for personal use and 56% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 6,000 | |
| 6,200 | |
| 2,900 | |
| 1,150 |
56% of the water consumption is industrial use and 32% is personal use so (56% - 32%) = 24% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{24}{100} \) x 25,000 gallons = 6,000 gallons.
Which of the following statements about exponents is false?
b0 = 1 |
|
all of these are false |
|
b1 = 1 |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
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 $45, how much money will he save?
| $2.25 | |
| $13.50 | |
| $9.00 | |
| $20.25 |
By buying two shirts, Damon will save $45 x \( \frac{5}{100} \) = \( \frac{$45 x 5}{100} \) = \( \frac{$225}{100} \) = $2.25 on the second shirt.
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?
| 128 m2 | |
| 8 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
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 1:8 | |
| 25:2 | |
| 3:1 | |
| 7:8 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.