| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
The total water usage for a city is 45,000 gallons each day. Of that total, 25% is for personal use and 43% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,200 | |
| 550 | |
| 8,100 | |
| 1,100 |
43% of the water consumption is industrial use and 25% is personal use so (43% - 25%) = 18% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{18}{100} \) x 45,000 gallons = 8,100 gallons.
What is \( \frac{1}{9} \) x \( \frac{3}{5} \)?
| \(\frac{1}{36}\) | |
| \(\frac{12}{49}\) | |
| \(\frac{3}{16}\) | |
| \(\frac{1}{15}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{3}{5} \) = \( \frac{1 x 3}{9 x 5} \) = \( \frac{3}{45} \) = \(\frac{1}{15}\)
What is -4x6 + 7x6?
| -11x-6 | |
| 3x6 | |
| 11x-6 | |
| 11x6 |
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:
-4x6 + 7x6
(-4 + 7)x6
3x6
Alex loaned Monty $400 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $48 | |
| $32 | |
| $36 | |
| $28 |
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 $400
i = 0.07 x $400
i = $28
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
a = 7 or a = -7 |
|
a = -7 |
|
none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).