| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
What is (c4)3?
| 4c3 | |
| c12 | |
| c7 | |
| c-1 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c4)3If a car travels 600 miles in 8 hours, what is the average speed?
| 60 mph | |
| 25 mph | |
| 65 mph | |
| 75 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)The total water usage for a city is 15,000 gallons each day. Of that total, 29% is for personal use and 42% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 700 | |
| 2,750 | |
| 1,950 | |
| 4,750 |
42% of the water consumption is industrial use and 29% is personal use so (42% - 29%) = 13% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{13}{100} \) x 15,000 gallons = 1,950 gallons.
What is \( \sqrt{\frac{36}{9}} \)?
| 2 | |
| 2\(\frac{1}{3}\) | |
| \(\frac{5}{9}\) | |
| \(\frac{5}{8}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{36}{9}} \)
\( \frac{\sqrt{36}}{\sqrt{9}} \)
\( \frac{\sqrt{6^2}}{\sqrt{3^2}} \)
\( \frac{6}{3} \)
2
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 14 small cakes per hour. The kitchen is available for 3 hours and 35 large cakes and 100 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?
| 7 | |
| 11 | |
| 9 | |
| 6 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 3 x 3 = 9 large cakes during that time. 35 large cakes are needed for the party so \( \frac{35}{9} \) = 3\(\frac{8}{9}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 14 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 14 x 3 = 42 small cakes during that time. 100 small cakes are needed for the party so \( \frac{100}{42} \) = 2\(\frac{8}{21}\) 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 4 + 3 = 7 cooks.