| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
What is \( \frac{-1z^7}{6z^4} \)?
| -6z3 | |
| -\(\frac{1}{6}\)z3 | |
| -6z11 | |
| -\(\frac{1}{6}\)z\(\frac{4}{7}\) |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-z^7}{6z^4} \)
\( \frac{-1}{6} \) z(7 - 4)
-\(\frac{1}{6}\)z3
A factor is a positive __________ that divides evenly into a given number.
mixed number |
|
fraction |
|
improper fraction |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Monty loaned Latoya $1,500 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,515 | |
| $1,620 | |
| $1,530 | |
| $1,575 |
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 $1,500
i = 0.05 x $1,500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $7519 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 7 | |
| 6 | |
| 4 | |
| 2 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 19 people needing transportation leaving 19 - 15 = 4 who will have to find other transportation.
The total water usage for a city is 25,000 gallons each day. Of that total, 17% is for personal use and 34% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 2,550 | |
| 5,500 | |
| 5,250 | |
| 4,250 |
34% of the water consumption is industrial use and 17% is personal use so (34% - 17%) = 17% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{17}{100} \) x 25,000 gallons = 4,250 gallons.