| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Which of the following is not an integer?
0 |
|
-1 |
|
1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Solve 4 + (5 + 2) ÷ 5 x 4 - 32
| 1\(\frac{1}{2}\) | |
| 1\(\frac{1}{3}\) | |
| 1\(\frac{3}{4}\) | |
| \(\frac{3}{5}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (5 + 2) ÷ 5 x 4 - 32
P: 4 + (7) ÷ 5 x 4 - 32
E: 4 + 7 ÷ 5 x 4 - 9
MD: 4 + \( \frac{7}{5} \) x 4 - 9
MD: 4 + \( \frac{28}{5} \) - 9
AS: \( \frac{20}{5} \) + \( \frac{28}{5} \) - 9
AS: \( \frac{48}{5} \) - 9
AS: \( \frac{48 - 45}{5} \)
\( \frac{3}{5} \)
\(\frac{3}{5}\)
A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 20% | |
| 17\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%
What is \( \frac{45\sqrt{4}}{9\sqrt{2}} \)?
| 2 \( \sqrt{5} \) | |
| 5 \( \sqrt{\frac{1}{2}} \) | |
| 5 \( \sqrt{2} \) | |
| \(\frac{1}{5}\) \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{45\sqrt{4}}{9\sqrt{2}} \)
\( \frac{45}{9} \) \( \sqrt{\frac{4}{2}} \)
5 \( \sqrt{2} \)
If a car travels 630 miles in 9 hours, what is the average speed?
| 70 mph | |
| 75 mph | |
| 50 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)