| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Convert z-2 to remove the negative exponent.
| \( \frac{-2}{z} \) | |
| \( \frac{-1}{-2z^{2}} \) | |
| \( \frac{1}{z^2} \) | |
| \( \frac{-1}{-2z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
How many hours does it take a car to travel 45 miles at an average speed of 15 miles per hour?
| 6 hours | |
| 7 hours | |
| 3 hours | |
| 1 hour |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{45mi}{15mph} \)
3 hours
What is \( \frac{9c^5}{6c^2} \)?
| 1\(\frac{1}{2}\)c7 | |
| 1\(\frac{1}{2}\)c10 | |
| 1\(\frac{1}{2}\)c3 | |
| \(\frac{2}{3}\)c7 |
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:
\( \frac{9c^5}{6c^2} \)
\( \frac{9}{6} \) c(5 - 2)
1\(\frac{1}{2}\)c3
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Bob buys two shirts, each with a regular price of $12, how much money will he save?
| $5.40 | |
| $4.20 | |
| $2.40 | |
| $3.60 |
By buying two shirts, Bob will save $12 x \( \frac{20}{100} \) = \( \frac{$12 x 20}{100} \) = \( \frac{$240}{100} \) = $2.40 on the second shirt.
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 15 small cakes per hour. The kitchen is available for 4 hours and 35 large cakes and 210 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 13 | |
| 7 | |
| 14 | |
| 85 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 35 large cakes are needed for the party so \( \frac{35}{12} \) = 2\(\frac{11}{12}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 15 x 4 = 60 small cakes during that time. 210 small cakes are needed for the party so \( \frac{210}{60} \) = 3\(\frac{1}{2}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 4 = 7 cooks.