The correct answer is C) 58/73.
We first add up the amount of time spent driving:
3 + 1 1/2 + 20 minutes
Changing 20 minutes to a fraction of an hour, 20/60 = 1/3:
3 + 1 1/2 + 1/3
Using the LCD (6),
3 + 1 3/6 + 2/6 = 4 5/6 hrs driving.
Now we find the total time of the trip:
3 + 15 min + 1 1/2 + 1 + 20 min
= 3 + 15/60 + 1 1/2 + 1 + 20/60
= 3 + 1/4 + 1 1/2 + 1 + 1/3
The LCD for this is 12:
3 + 3/12 + 1 6/12 + 1 + 4/12 = 5 13/12 = 6 1/12
We find the ratio of driving to total time, which is (4 5/6)/(6 1/12)
= 4 5/6 ÷ 6 1/12
Converting the mixed numbers to improper fractions,
29/6 ÷ 73/12 = 29/6 × 12/73 = 348/438 = 174/219 = 58/73
4x - 3 ≤ -5 =
X ≤ -1/2
Explaining
4x ≤ -5 + 3
4x ≤ -2
X ≤ -1/2
Answer:
B
Step-by-step explanation:
open circle means no underline and it is past the 6 so it is B
Answer:
a) 
b) 
So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014
Step-by-step explanation:
For this case we assume the following model:

Where t is the number of years after 2000/
Part a
For this case we want the population for 2000 and on this case the value of t=0 since we have 0 years after 2000. If we rpelace into the model we got:

So then the initial population at year 2000 is 23.1 million of people.
Part b
For this case we want to find the time t whn the population is 28.3 million.
So we need to solve this equation:

We can divide both sides by 23.1 and we got:

Now we can apply natural log on both sides and we got:

And then for t we got:

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014