| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
If a car travels 270 miles in 6 hours, what is the average speed?
| 15 mph | |
| 45 mph | |
| 50 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{2}{7} \) ÷ \( \frac{4}{9} \)?
| 4\(\frac{1}{2}\) | |
| \(\frac{4}{35}\) | |
| \(\frac{9}{14}\) | |
| \(\frac{4}{45}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{7} \) ÷ \( \frac{4}{9} \) = \( \frac{2}{7} \) x \( \frac{9}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{9}{4} \) = \( \frac{2 x 9}{7 x 4} \) = \( \frac{18}{28} \) = \(\frac{9}{14}\)
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 25 gallon tank to fill it exactly halfway?
| 7 | |
| 10 | |
| 5 | |
| 8 |
To fill a 25 gallon tank exactly halfway you'll need 12\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 5
Ezra loaned Monty $200 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $66 | |
| $63 | |
| $15 | |
| $18 |
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 $200
i = 0.09 x $200
i = $18
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 10 small cakes per hour. The kitchen is available for 2 hours and 26 large cakes and 360 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?
| 6 | |
| 14 | |
| 7 | |
| 21 |
If a single cook can bake 5 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 5 x 2 = 10 large cakes during that time. 26 large cakes are needed for the party so \( \frac{26}{10} \) = 2\(\frac{3}{5}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 10 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 10 x 2 = 20 small cakes during that time. 360 small cakes are needed for the party so \( \frac{360}{20} \) = 18 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 + 18 = 21 cooks.