| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Convert b-5 to remove the negative exponent.
| \( \frac{-1}{b^{-5}} \) | |
| \( \frac{-1}{-5b^{5}} \) | |
| \( \frac{-5}{b} \) | |
| \( \frac{1}{b^5} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
The total water usage for a city is 35,000 gallons each day. Of that total, 20% is for personal use and 39% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 6,650 | |
| 7,650 | |
| 6,000 | |
| 8,050 |
39% of the water consumption is industrial use and 20% is personal use so (39% - 20%) = 19% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{19}{100} \) x 35,000 gallons = 6,650 gallons.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
least common multiple |
|
greatest common factor |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
How many 2 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 4 | |
| 2 | |
| 9 | |
| 3 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{4 \text{ gallons}}{2 \text{ gallons}} \) = 2
Charlie loaned Jennifer $800 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $824 | |
| $848 | |
| $808 | |
| $856 |
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 $800
i = 0.03 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $24