| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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absolute value |
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greatest common factor |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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distributive |
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commutative |
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PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
The total water usage for a city is 30,000 gallons each day. Of that total, 19% is for personal use and 46% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 8,100 | |
| 2,600 | |
| 1,400 | |
| 17,000 |
46% of the water consumption is industrial use and 19% is personal use so (46% - 19%) = 27% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 30,000 gallons = 8,100 gallons.
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 39,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,500 | |
| 32,667 | |
| 24,000 | |
| 37,600 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
39,000 fans x \( \frac{5}{6} \) = \( \frac{195000}{6} \) = 32,500 fans.
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 26 | |
| 35 | |
| 29 | |
| 21 |
The equation for this sequence is:
an = an-1 + 5
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 5
a6 = 21 + 5
a6 = 26