| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
Solve 4 + (2 + 3) ÷ 2 x 3 - 52
| 1 | |
| -13\(\frac{1}{2}\) | |
| 3 | |
| 2\(\frac{2}{3}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (2 + 3) ÷ 2 x 3 - 52
P: 4 + (5) ÷ 2 x 3 - 52
E: 4 + 5 ÷ 2 x 3 - 25
MD: 4 + \( \frac{5}{2} \) x 3 - 25
MD: 4 + \( \frac{15}{2} \) - 25
AS: \( \frac{8}{2} \) + \( \frac{15}{2} \) - 25
AS: \( \frac{23}{2} \) - 25
AS: \( \frac{23 - 50}{2} \)
\( \frac{-27}{2} \)
-13\(\frac{1}{2}\)
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 15 | |
| 20 | |
| 16 | |
| 13 |
The equation for this sequence is:
an = an-1 + 3
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 + 3
a6 = 13 + 3
a6 = 16
What is \( \frac{3c^8}{2c^2} \)?
| 1\(\frac{1}{2}\)c10 | |
| \(\frac{2}{3}\)c6 | |
| 1\(\frac{1}{2}\)c6 | |
| \(\frac{2}{3}\)c-6 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{3c^8}{2c^2} \)
\( \frac{3}{2} \) c(8 - 2)
1\(\frac{1}{2}\)c6
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 35% 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?
| 48 | |
| 21 | |
| 40 | |
| 26 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{35}{100} \) = \( \frac{35 x 30}{100} \) = \( \frac{1050}{100} \) = 10 shots
The center makes 25% 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 = \( \frac{10}{\frac{25}{100}} \) = 10 x \( \frac{100}{25} \) = \( \frac{10 x 100}{25} \) = \( \frac{1000}{25} \) = 40 shots
to make the same number of shots as the guard and thus score the same number of points.
If a car travels 120 miles in 6 hours, what is the average speed?
| 25 mph | |
| 20 mph | |
| 45 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)