| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
The total water usage for a city is 40,000 gallons each day. Of that total, 32% is for personal use and 64% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 2,300 | |
| 6,000 | |
| 12,800 | |
| 5,250 |
64% of the water consumption is industrial use and 32% is personal use so (64% - 32%) = 32% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 40,000 gallons = 12,800 gallons.
What is 5c7 x 7c5?
| 35c5 | |
| 35c12 | |
| 12c12 | |
| 35c35 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
5c7 x 7c5
(5 x 7)c(7 + 5)
35c12
a(b + c) = ab + ac defines which of the following?
commutative property for division |
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distributive property for division |
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commutative property for multiplication |
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distributive property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
Which of the following is not a prime number?
7 |
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9 |
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5 |
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2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
If there were a total of 50 raffle tickets sold and you bought 2 tickets, what's the probability that you'll win the raffle?
| 11% | |
| 8% | |
| 5% | |
| 16% |
You have 2 out of the total of 50 raffle tickets sold so you have a (\( \frac{2}{50} \)) x 100 = \( \frac{2 \times 100}{50} \) = \( \frac{200}{50} \) = 5% chance to win the raffle.