| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
How many 7-passenger vans will it take to drive all 83 members of the football team to an away game?
| 3 vans | |
| 9 vans | |
| 8 vans | |
| 12 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{83}{7} \) = 11\(\frac{6}{7}\)
So, it will take 11 full vans and one partially full van to transport the entire team making a total of 12 vans.
Which of the following is not an integer?
-1 |
|
\({1 \over 2}\) |
|
0 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A factor is a positive __________ that divides evenly into a given number.
integer |
|
improper fraction |
|
mixed number |
|
fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
If \( \left|c - 8\right| \) + 4 = 8, which of these is a possible value for c?
| -1 | |
| 4 | |
| -8 | |
| -3 |
First, solve for \( \left|c - 8\right| \):
\( \left|c - 8\right| \) + 4 = 8
\( \left|c - 8\right| \) = 8 - 4
\( \left|c - 8\right| \) = 4
The value inside the absolute value brackets can be either positive or negative so (c - 8) must equal + 4 or -4 for \( \left|c - 8\right| \) to equal 4:
| c - 8 = 4 c = 4 + 8 c = 12 | c - 8 = -4 c = -4 + 8 c = 4 |
So, c = 4 or c = 12.
What is \( \sqrt{\frac{81}{49}} \)?
| 1\(\frac{1}{3}\) | |
| \(\frac{4}{9}\) | |
| 1\(\frac{3}{5}\) | |
| 1\(\frac{2}{7}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{81}{49}} \)
\( \frac{\sqrt{81}}{\sqrt{49}} \)
\( \frac{\sqrt{9^2}}{\sqrt{7^2}} \)
\( \frac{9}{7} \)
1\(\frac{2}{7}\)