| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
How many 6-passenger vans will it take to drive all 65 members of the football team to an away game?
| 4 vans | |
| 10 vans | |
| 11 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{65}{6} \) = 10\(\frac{5}{6}\)
So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.
4! = ?
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Charlie loaned Damon $200 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $2 | |
| $117 | |
| $49 | |
| $6 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $200
i = 0.03 x $200
i = $6
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 18 small cakes per hour. The kitchen is available for 4 hours and 29 large cakes and 480 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 15 | |
| 12 | |
| 7 | |
| 11 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 29 large cakes are needed for the party so \( \frac{29}{8} \) = 3\(\frac{5}{8}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 18 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 18 x 4 = 72 small cakes during that time. 480 small cakes are needed for the party so \( \frac{480}{72} \) = 6\(\frac{2}{3}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 4 + 7 = 11 cooks.
If \( \left|b - 6\right| \) + 6 = 7, which of these is a possible value for b?
| 12 | |
| -8 | |
| -4 | |
| 7 |
First, solve for \( \left|b - 6\right| \):
\( \left|b - 6\right| \) + 6 = 7
\( \left|b - 6\right| \) = 7 - 6
\( \left|b - 6\right| \) = 1
The value inside the absolute value brackets can be either positive or negative so (b - 6) must equal + 1 or -1 for \( \left|b - 6\right| \) to equal 1:
| b - 6 = 1 b = 1 + 6 b = 7 | b - 6 = -1 b = -1 + 6 b = 5 |
So, b = 5 or b = 7.