| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
The total water usage for a city is 35,000 gallons each day. Of that total, 28% is for personal use and 62% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 1,100 | |
| 8,400 | |
| 12,600 | |
| 11,900 |
62% of the water consumption is industrial use and 28% is personal use so (62% - 28%) = 34% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{34}{100} \) x 35,000 gallons = 11,900 gallons.
Monica scored 79% on her final exam. If each question was worth 3 points and there were 270 possible points on the exam, how many questions did Monica answer correctly?
| 61 | |
| 66 | |
| 71 | |
| 64 |
Monica scored 79% on the test meaning she earned 79% of the possible points on the test. There were 270 possible points on the test so she earned 270 x 0.79 = 213 points. Each question is worth 3 points so she got \( \frac{213}{3} \) = 71 questions right.
What is -5c7 x 2c4?
| -3c11 | |
| -3c4 | |
| -10c3 | |
| -10c11 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-5c7 x 2c4
(-5 x 2)c(7 + 4)
-10c11
Which of the following is not an integer?
\({1 \over 2}\) |
|
1 |
|
0 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Simplify \( \sqrt{112} \)
| 8\( \sqrt{7} \) | |
| 9\( \sqrt{14} \) | |
| 4\( \sqrt{7} \) | |
| 7\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)