Answer:
LP = 16 units (8 + 8)
x = 4.25 units
Step-by-step explanation:
Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
Answer:
x:x = 1 so it is a natural number
Step-by-step explanation:
it can be any negative number because: -x<9
and any number from 1 to 8
(x cannot be 0, because you cannot do 0/0 = 1)
The correct option is: Option (B)

Explanation:
First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.
When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).
Answer:
The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.
Step-by-step explanation:
Inequality for the population of Farmsville:
The inequality for the population of Farmsville in x years after 2010 is given by:

Will the population of Farmersville be greater than 6,300 in 2012?
2012 is 2012-2010 = 2 years after 2010, so we have to find y(2).


The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.