| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
The total water usage for a city is 10,000 gallons each day. Of that total, 30% is for personal use and 44% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,000 | |
| 1,400 | |
| 8,750 | |
| 2,300 |
44% of the water consumption is industrial use and 30% is personal use so (44% - 30%) = 14% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{14}{100} \) x 10,000 gallons = 1,400 gallons.
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 7 | |
| 13 | |
| 6 | |
| 2 |
The equation for this sequence is:
an = an-1 + 1
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 + 1
a6 = 5 + 1
a6 = 6
Which of the following statements about exponents is false?
b1 = b |
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b0 = 1 |
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all of these are false |
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b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
How many 13-passenger vans will it take to drive all 50 members of the football team to an away game?
| 4 vans | |
| 3 vans | |
| 10 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{50}{13} \) = 3\(\frac{11}{13}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
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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PEDMAS |
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distributive |
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commutative |
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.