| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
What is (c2)4?
| c-2 | |
| c2 | |
| c8 | |
| 4c2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c2)4What is \( 5 \)\( \sqrt{125} \) - \( 3 \)\( \sqrt{5} \)
| 15\( \sqrt{5} \) | |
| 2\( \sqrt{0} \) | |
| 22\( \sqrt{5} \) | |
| 15\( \sqrt{25} \) |
To subtract these radicals together their radicands must be the same:
5\( \sqrt{125} \) - 3\( \sqrt{5} \)
5\( \sqrt{25 \times 5} \) - 3\( \sqrt{5} \)
5\( \sqrt{5^2 \times 5} \) - 3\( \sqrt{5} \)
(5)(5)\( \sqrt{5} \) - 3\( \sqrt{5} \)
25\( \sqrt{5} \) - 3\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
25\( \sqrt{5} \) - 3\( \sqrt{5} \)A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $15, how much will he pay for both shirts?
| $21.75 | |
| $21.00 | |
| $29.25 | |
| $0.75 |
By buying two shirts, Charlie will save $15 x \( \frac{5}{100} \) = \( \frac{$15 x 5}{100} \) = \( \frac{$75}{100} \) = $0.75 on the second shirt.
So, his total cost will be
$15.00 + ($15.00 - $0.75)
$15.00 + $14.25
$29.25
Which of the following is not an integer?
1 |
|
-1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 16 small cakes per hour. The kitchen is available for 2 hours and 30 large cakes and 320 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?
| 5 | |
| 14 | |
| 15 | |
| 12 |
If a single cook can bake 4 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 4 x 2 = 8 large cakes during that time. 30 large cakes are needed for the party so \( \frac{30}{8} \) = 3\(\frac{3}{4}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 16 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 16 x 2 = 32 small cakes during that time. 320 small cakes are needed for the party so \( \frac{320}{32} \) = 10 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 + 10 = 14 cooks.