| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
If \( \left|c - 2\right| \) - 6 = -4, which of these is a possible value for c?
| 0 | |
| 10 | |
| -18 | |
| -17 |
First, solve for \( \left|c - 2\right| \):
\( \left|c - 2\right| \) - 6 = -4
\( \left|c - 2\right| \) = -4 + 6
\( \left|c - 2\right| \) = 2
The value inside the absolute value brackets can be either positive or negative so (c - 2) must equal + 2 or -2 for \( \left|c - 2\right| \) to equal 2:
| c - 2 = 2 c = 2 + 2 c = 4 | c - 2 = -2 c = -2 + 2 c = 0 |
So, c = 0 or c = 4.
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 7 | |
| 8 | |
| 3 | |
| 5 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 11 small cakes per hour. The kitchen is available for 4 hours and 31 large cakes and 190 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?
| 11 | |
| 7 | |
| 8 | |
| 9 |
If a single cook can bake 4 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 4 x 4 = 16 large cakes during that time. 31 large cakes are needed for the party so \( \frac{31}{16} \) = 1\(\frac{15}{16}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 11 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 11 x 4 = 44 small cakes during that time. 190 small cakes are needed for the party so \( \frac{190}{44} \) = 4\(\frac{7}{22}\) 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 2 + 5 = 7 cooks.
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Charlie buys two shirts, each with a regular price of $34, how much money will he save?
| $17.00 | |
| $5.10 | |
| $15.30 | |
| $13.60 |
By buying two shirts, Charlie will save $34 x \( \frac{45}{100} \) = \( \frac{$34 x 45}{100} \) = \( \frac{$1530}{100} \) = $15.30 on the second shirt.