| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
The total water usage for a city is 50,000 gallons each day. Of that total, 10% is for personal use and 41% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 15,500 | |
| 3,600 | |
| 1,900 | |
| 8,050 |
41% of the water consumption is industrial use and 10% is personal use so (41% - 10%) = 31% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{31}{100} \) x 50,000 gallons = 15,500 gallons.
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 13 small cakes per hour. The kitchen is available for 3 hours and 37 large cakes and 170 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 | |
| 13 | |
| 11 | |
| 8 |
If a single cook can bake 4 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 4 x 3 = 12 large cakes during that time. 37 large cakes are needed for the party so \( \frac{37}{12} \) = 3\(\frac{1}{12}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 13 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 13 x 3 = 39 small cakes during that time. 170 small cakes are needed for the party so \( \frac{170}{39} \) = 4\(\frac{14}{39}\) 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 + 5 = 9 cooks.
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 $11, how much money will he save?
| $2.20 | |
| $0.55 | |
| $5.50 | |
| $4.95 |
By buying two shirts, Monty will save $11 x \( \frac{50}{100} \) = \( \frac{$11 x 50}{100} \) = \( \frac{$550}{100} \) = $5.50 on the second shirt.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
absolute value |
|
greatest common multiple |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \sqrt{\frac{36}{4}} \)?
| \(\frac{3}{8}\) | |
| \(\frac{1}{3}\) | |
| 2 | |
| 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:
\( \sqrt{\frac{36}{4}} \)
\( \frac{\sqrt{36}}{\sqrt{4}} \)
\( \frac{\sqrt{6^2}}{\sqrt{2^2}} \)
\( \frac{6}{2} \)
3