| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Jennifer scored 87% on her final exam. If each question was worth 4 points and there were 280 possible points on the exam, how many questions did Jennifer answer correctly?
| 64 | |
| 73 | |
| 52 | |
| 61 |
Jennifer scored 87% on the test meaning she earned 87% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.87 = 244 points. Each question is worth 4 points so she got \( \frac{244}{4} \) = 61 questions right.
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 37 | |
| 47 | |
| 50 | |
| 41 |
The equation for this sequence is:
an = an-1 + 8
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 8
a6 = 33 + 8
a6 = 41
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 9 | |
| 4 | |
| 8 | |
| 6 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
Find the average of the following numbers: 10, 2, 8, 4.
| 2 | |
| 7 | |
| 6 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 2 + 8 + 4}{4} \) = \( \frac{24}{4} \) = 6
What is \( 5 \)\( \sqrt{50} \) - \( 3 \)\( \sqrt{2} \)
| 2\( \sqrt{100} \) | |
| 2\( \sqrt{50} \) | |
| 2\( \sqrt{25} \) | |
| 22\( \sqrt{2} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{50} \) - 3\( \sqrt{2} \)
5\( \sqrt{25 \times 2} \) - 3\( \sqrt{2} \)
5\( \sqrt{5^2 \times 2} \) - 3\( \sqrt{2} \)
(5)(5)\( \sqrt{2} \) - 3\( \sqrt{2} \)
25\( \sqrt{2} \) - 3\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
25\( \sqrt{2} \) - 3\( \sqrt{2} \)