| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Which of these numbers is a factor of 16?
| 12 | |
| 17 | |
| 2 | |
| 16 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.
If a rectangle is twice as long as it is wide and has a perimeter of 54 meters, what is the area of the rectangle?
| 128 m2 | |
| 162 m2 | |
| 72 m2 | |
| 98 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 54 meters so the equation becomes: 2w + 2h = 54.
Putting these two equations together and solving for width (w):
2w + 2h = 54
w + h = \( \frac{54}{2} \)
w + h = 27
w = 27 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 27 - 2w
3w = 27
w = \( \frac{27}{3} \)
w = 9
Since h = 2w that makes h = (2 x 9) = 18 and the area = h x w = 9 x 18 = 162 m2
Solve 4 + (5 + 5) ÷ 2 x 3 - 52
| 1\(\frac{2}{7}\) | |
| 2\(\frac{1}{3}\) | |
| -6 | |
| 1\(\frac{3}{4}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (5 + 5) ÷ 2 x 3 - 52
P: 4 + (10) ÷ 2 x 3 - 52
E: 4 + 10 ÷ 2 x 3 - 25
MD: 4 + \( \frac{10}{2} \) x 3 - 25
MD: 4 + \( \frac{30}{2} \) - 25
AS: \( \frac{8}{2} \) + \( \frac{30}{2} \) - 25
AS: \( \frac{38}{2} \) - 25
AS: \( \frac{38 - 50}{2} \)
\( \frac{-12}{2} \)
-6
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?
| 19 | |
| 17 | |
| 25 | |
| 40 |
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.
What is (b2)5?
| 2b5 | |
| b-3 | |
| b3 | |
| b10 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b2)5