The first equation will turn into -18x -6y = -18, and the second equation will turn into 14x + 6y = 18. The y terms will cancel out when you add the equations together.
Answer:
D) 5985
Step-by-step explanation:
Total area: 150×100 = 15000
Area for stars: 6×6 = 36
Total area - area for stars = area for fans
15000-36= 14964
14964ft² for fans, each takes up 2.5 ft²
14964 ÷2.5 = 5985.6 fans
Since we can't have 0.6 of a person, we round down to 5985 fans
6.375 4.25
-------- = ---------
8.5 x
If you cross multiply the answer would be aprox. 5.667
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
The slope is -2.
The slope is the rise over the run. Because the line goes down from left to right, it makes the value negative. For every one the it moves to the right, the line goes down two units.