| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 15 small cakes per hour. The kitchen is available for 4 hours and 21 large cakes and 370 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 | |
| 9 | |
| 11 | |
| 6 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 21 large cakes are needed for the party so \( \frac{21}{12} \) = 1\(\frac{3}{4}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 15 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 15 x 4 = 60 small cakes during that time. 370 small cakes are needed for the party so \( \frac{370}{60} \) = 6\(\frac{1}{6}\) 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 + 7 = 9 cooks.
What is \( \sqrt{\frac{16}{16}} \)?
| \(\frac{2}{9}\) | |
| 1 | |
| 4 | |
| \(\frac{1}{3}\) |
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:
\( \sqrt{\frac{16}{16}} \)
\( \frac{\sqrt{16}}{\sqrt{16}} \)
\( \frac{\sqrt{4^2}}{\sqrt{4^2}} \)
1
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Roger buys two shirts, each with a regular price of $34, how much will he pay for both shirts?
| $6.80 | |
| $61.20 | |
| $45.90 | |
| $40.80 |
By buying two shirts, Roger will save $34 x \( \frac{20}{100} \) = \( \frac{$34 x 20}{100} \) = \( \frac{$680}{100} \) = $6.80 on the second shirt.
So, his total cost will be
$34.00 + ($34.00 - $6.80)
$34.00 + $27.20
$61.20
Solve 5 + (3 + 3) ÷ 3 x 5 - 52
| -10 | |
| 1\(\frac{2}{3}\) | |
| 2\(\frac{1}{2}\) | |
| 1\(\frac{1}{8}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (3 + 3) ÷ 3 x 5 - 52
P: 5 + (6) ÷ 3 x 5 - 52
E: 5 + 6 ÷ 3 x 5 - 25
MD: 5 + \( \frac{6}{3} \) x 5 - 25
MD: 5 + \( \frac{30}{3} \) - 25
AS: \( \frac{15}{3} \) + \( \frac{30}{3} \) - 25
AS: \( \frac{45}{3} \) - 25
AS: \( \frac{45 - 75}{3} \)
\( \frac{-30}{3} \)
-10
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
absolute value |
|
greatest common factor |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.