| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
What is (z5)4?
| 5z4 | |
| z | |
| z-1 | |
| z20 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)4What is the distance in miles of a trip that takes 7 hours at an average speed of 70 miles per hour?
| 490 miles | |
| 130 miles | |
| 180 miles | |
| 150 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 70mph \times 7h \)
490 miles
What is \( \frac{12\sqrt{36}}{4\sqrt{9}} \)?
| 3 \( \sqrt{4} \) | |
| \(\frac{1}{4}\) \( \sqrt{3} \) | |
| 4 \( \sqrt{3} \) | |
| 3 \( \sqrt{\frac{1}{4}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{12\sqrt{36}}{4\sqrt{9}} \)
\( \frac{12}{4} \) \( \sqrt{\frac{36}{9}} \)
3 \( \sqrt{4} \)
The total water usage for a city is 45,000 gallons each day. Of that total, 21% is for personal use and 44% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,350 | |
| 8,000 | |
| 13,200 | |
| 6,800 |
44% of the water consumption is industrial use and 21% is personal use so (44% - 21%) = 23% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 45,000 gallons = 10,350 gallons.
In a class of 30 students, 14 are taking German and 5 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 20 | |
| 14 | |
| 25 | |
| 12 |
The number of students taking German or Spanish is 14 + 5 = 19. Of that group of 19, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 19 - 3 = 16 who are taking at least one language. 30 - 16 = 14 students who are not taking either language.