Answer:
I need to know the answer to 2 1/3 x 4/5
2 answers:
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The population is increasing at the rate of 220
Explanation:
Given that the population of Hannah's town is increased from 1500 to 2600 in five years.
This can be written in expression as
and
We need to determine the rate of change of population.
The rate of change can be determined using the formula,
where and
Substituting the values in the formula, we have,
Simplifying, we have,
Dividing, we get,
220
Thus, the population is increasing at the rate of 220
Answer:
<em>8 more men are needed to complete the job</em>
Step-by-step explanation:
<u>Proportions</u>
This problem can be solved by step-by-step reasoning applying proportions:
- 16 men working 9 hrs a day complete the job in 14 days
- 16 men working 1 hr a day complete the job in 14*9 days
The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.
- 1 man working 1 hr a day complete the job in 14*9*16 days
The same reasoning applies here, fewer men=more days.
Now for the second condition. Increase the hours/day:
- 1 man working 7 hrs a day complete the job in 14*9*16/7 days
More hours/day=less days to complete the job
- x men working 7 hrs a day complete the job in 14*9*16/(7*x) days
We know this last time is 12 days, thus:
Solving for x:
24 men are needed now, this is an increase of 24-16=8 more men
8 more men are needed to complete the job