| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| 1\(\frac{1}{4}\) cups | |
| 3 cups | |
| \(\frac{7}{8}\) cups | |
| 1\(\frac{3}{4}\) cups |
The amount of flour you need is (2\(\frac{3}{8}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{10}{8} \) cups
1\(\frac{1}{4}\) cups
What is (y5)3?
| y-2 | |
| y15 | |
| y2 | |
| 5y3 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y5)3The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common factor |
|
least common multiple |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is the greatest common factor of 44 and 72?
| 28 | |
| 41 | |
| 4 | |
| 37 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 72 have in common.
The total water usage for a city is 30,000 gallons each day. Of that total, 28% is for personal use and 56% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,000 | |
| 8,400 | |
| 14,000 | |
| 6,650 |
56% of the water consumption is industrial use and 28% is personal use so (56% - 28%) = 28% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{28}{100} \) x 30,000 gallons = 8,400 gallons.