| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Monty buys two shirts, each with a regular price of $45, how much money will he save?
| $15.75 | |
| $22.50 | |
| $13.50 | |
| $9.00 |
By buying two shirts, Monty will save $45 x \( \frac{50}{100} \) = \( \frac{$45 x 50}{100} \) = \( \frac{$2250}{100} \) = $22.50 on the second shirt.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
absolute value |
|
least common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of the following is not an integer?
-1 |
|
1 |
|
\({1 \over 2}\) |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is 9\( \sqrt{4} \) x 4\( \sqrt{6} \)?
| 13\( \sqrt{6} \) | |
| 72\( \sqrt{6} \) | |
| 13\( \sqrt{24} \) | |
| 13\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
9\( \sqrt{4} \) x 4\( \sqrt{6} \)
(9 x 4)\( \sqrt{4 \times 6} \)
36\( \sqrt{24} \)
Now we need to simplify the radical:
36\( \sqrt{24} \)
36\( \sqrt{6 \times 4} \)
36\( \sqrt{6 \times 2^2} \)
(36)(2)\( \sqrt{6} \)
72\( \sqrt{6} \)
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 14 small cakes per hour. The kitchen is available for 2 hours and 22 large cakes and 490 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?
| 9 | |
| 12 | |
| 5 | |
| 24 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 2 x 2 = 4 large cakes during that time. 22 large cakes are needed for the party so \( \frac{22}{4} \) = 5\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 14 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 14 x 2 = 28 small cakes during that time. 490 small cakes are needed for the party so \( \frac{490}{28} \) = 17\(\frac{1}{2}\) 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 6 + 18 = 24 cooks.