| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 53 | |
| 41 | |
| 51 | |
| 46 |
The equation for this sequence is:
an = an-1 + 9
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 + 9
a6 = 37 + 9
a6 = 46
If a mayor is elected with 68% of the votes cast and 80% of a town's 44,000 voters cast a vote, how many votes did the mayor receive?
| 23,936 | |
| 31,328 | |
| 19,008 | |
| 21,824 |
If 80% of the town's 44,000 voters cast ballots the number of votes cast is:
(\( \frac{80}{100} \)) x 44,000 = \( \frac{3,520,000}{100} \) = 35,200
The mayor got 68% of the votes cast which is:
(\( \frac{68}{100} \)) x 35,200 = \( \frac{2,393,600}{100} \) = 23,936 votes.
13 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 9 | |
| 7 | |
| 1 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 13 people needing transportation leaving 13 - 10 = 3 who will have to find other transportation.
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 33 | |
| 37 | |
| 26 | |
| 50 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots
The center makes 45% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{15}{\frac{45}{100}} \) = 15 x \( \frac{100}{45} \) = \( \frac{15 x 100}{45} \) = \( \frac{1500}{45} \) = 33 shots
to make the same number of shots as the guard and thus score the same number of points.
What is -6z7 - 3z7?
| -9z-7 | |
| -3z49 | |
| -9z7 | |
| 9z7 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-6z7 - 3z7
(-6 - 3)z7
-9z7