| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
Convert y-4 to remove the negative exponent.
| \( \frac{-1}{-4y} \) | |
| \( \frac{4}{y} \) | |
| \( \frac{1}{y^4} \) | |
| \( \frac{-1}{y^{-4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( \frac{1}{5} \) ÷ \( \frac{1}{8} \)?
| \(\frac{1}{20}\) | |
| \(\frac{3}{16}\) | |
| \(\frac{1}{14}\) | |
| 1\(\frac{3}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{5} \) ÷ \( \frac{1}{8} \) = \( \frac{1}{5} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{5} \) x \( \frac{8}{1} \) = \( \frac{1 x 8}{5 x 1} \) = \( \frac{8}{5} \) = 1\(\frac{3}{5}\)
| 1.2 | |
| 1.0 | |
| 3.0 | |
| 1 |
1
Damon loaned Jennifer $1,100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,188 | |
| $1,199 | |
| $1,177 | |
| $1,122 |
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 $1,100
i = 0.08 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $88Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 19 small cakes per hour. The kitchen is available for 4 hours and 40 large cakes and 240 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?
| 15 | |
| 14 | |
| 8 | |
| 6 |
If a single cook can bake 5 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 5 x 4 = 20 large cakes during that time. 40 large cakes are needed for the party so \( \frac{40}{20} \) = 2 cooks are needed to bake the required number of large cakes.
If a single cook can bake 19 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 19 x 4 = 76 small cakes during that time. 240 small cakes are needed for the party so \( \frac{240}{76} \) = 3\(\frac{3}{19}\) 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 2 + 4 = 6 cooks.