| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
What is the least common multiple of 6 and 8?
| 48 | |
| 24 | |
| 31 | |
| 4 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.
Which of the following statements about exponents is false?
b0 = 1 |
|
b1 = 1 |
|
all of these are false |
|
b1 = b |
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).
Convert z-2 to remove the negative exponent.
| \( \frac{1}{z^2} \) | |
| \( \frac{2}{z} \) | |
| \( \frac{-2}{z} \) | |
| \( \frac{-2}{-z} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
The total water usage for a city is 35,000 gallons each day. Of that total, 13% is for personal use and 35% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 7,700 | |
| 5,700 | |
| 9,300 | |
| 9,000 |
35% of the water consumption is industrial use and 13% is personal use so (35% - 13%) = 22% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{22}{100} \) x 35,000 gallons = 7,700 gallons.
What is the distance in miles of a trip that takes 1 hour at an average speed of 70 miles per hour?
| 35 miles | |
| 90 miles | |
| 70 miles | |
| 150 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 70mph \times 1h \)
70 miles