| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
What is 3z7 + 3z7?
| 6z14 | |
| 6z49 | |
| 6z-14 | |
| 6z7 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
3z7 + 3z7
(3 + 3)z7
6z7
The total water usage for a city is 30,000 gallons each day. Of that total, 34% is for personal use and 45% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 6,650 | |
| 11,600 | |
| 2,850 | |
| 3,300 |
45% of the water consumption is industrial use and 34% is personal use so (45% - 34%) = 11% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{11}{100} \) x 30,000 gallons = 3,300 gallons.
If there were a total of 400 raffle tickets sold and you bought 8 tickets, what's the probability that you'll win the raffle?
| 16% | |
| 8% | |
| 11% | |
| 2% |
You have 8 out of the total of 400 raffle tickets sold so you have a (\( \frac{8}{400} \)) x 100 = \( \frac{8 \times 100}{400} \) = \( \frac{800}{400} \) = 2% chance to win the raffle.
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = b |
|
all of these are false |
|
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).
Find the average of the following numbers: 12, 8, 11, 9.
| 10 | |
| 6 | |
| 7 | |
| 15 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 8 + 11 + 9}{4} \) = \( \frac{40}{4} \) = 10