| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.65 |
| Score | 0% | 73% |
The total water usage for a city is 35,000 gallons each day. Of that total, 35% is for personal use and 54% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,950 | |
| 4,800 | |
| 8,050 | |
| 6,650 |
54% of the water consumption is industrial use and 35% is personal use so (54% - 35%) = 19% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{19}{100} \) x 35,000 gallons = 6,650 gallons.
What is \( \sqrt{\frac{64}{36}} \)?
| 2\(\frac{1}{4}\) | |
| 1\(\frac{1}{3}\) | |
| 1\(\frac{1}{6}\) | |
| \(\frac{3}{4}\) |
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:
\( \sqrt{\frac{64}{36}} \)
\( \frac{\sqrt{64}}{\sqrt{36}} \)
\( \frac{\sqrt{8^2}}{\sqrt{6^2}} \)
\( \frac{8}{6} \)
1\(\frac{1}{3}\)
Which of the following is a mixed number?
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is the greatest common factor of 64 and 60?
| 6 | |
| 51 | |
| 30 | |
| 4 |
The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 3 factors [1, 2, 4] making 4 the greatest factor 64 and 60 have in common.
16 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 8 | |
| 4 | |
| 6 | |
| 1 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.