| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Betty scored 80% on her final exam. If each question was worth 3 points and there were 120 possible points on the exam, how many questions did Betty answer correctly?
| 40 | |
| 17 | |
| 37 | |
| 32 |
Betty scored 80% on the test meaning she earned 80% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.8 = 96 points. Each question is worth 3 points so she got \( \frac{96}{3} \) = 32 questions right.
What is \( 7 \)\( \sqrt{80} \) - \( 3 \)\( \sqrt{5} \)
| 4\( \sqrt{80} \) | |
| 21\( \sqrt{80} \) | |
| 21\( \sqrt{5} \) | |
| 25\( \sqrt{5} \) |
To subtract these radicals together their radicands must be the same:
7\( \sqrt{80} \) - 3\( \sqrt{5} \)
7\( \sqrt{16 \times 5} \) - 3\( \sqrt{5} \)
7\( \sqrt{4^2 \times 5} \) - 3\( \sqrt{5} \)
(7)(4)\( \sqrt{5} \) - 3\( \sqrt{5} \)
28\( \sqrt{5} \) - 3\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
28\( \sqrt{5} \) - 3\( \sqrt{5} \)What is (z5)2?
| z10 | |
| z7 | |
| z-3 | |
| 2z5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)2How many 13-passenger vans will it take to drive all 62 members of the football team to an away game?
| 5 vans | |
| 10 vans | |
| 6 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{62}{13} \) = 4\(\frac{10}{13}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
If a car travels 455 miles in 7 hours, what is the average speed?
| 45 mph | |
| 40 mph | |
| 65 mph | |
| 75 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)