8. Perimeter:5.9*2 or you can write 5.9+5.9 equals to 11.8 then add the 3.4
9.perimeter : 8.2+4.2+9.17
Area:(8.2*4.1)/2
Answer:
- north and south sides are 38 8/9 ft long
- east and west sides are 17.5 ft long
Step-by-step explanation:
<u>Short answer</u>: area is maximized when half the cost is spent in each of the orthogonal directions. This means the east and west sides will total $350 at $20 per foot, so will be 17.5 feet. The north and south sides will total $350 at $9 per foot, so will be 38 8/9 feet.
The dimensions that maximize the area are 17.5 ft in the north-south direction by 38 8/9 ft in the east-west direction.
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<u>Long answer</u>: If x represents the length of the north and south sides, and y represents the length of the east and west sides, then the total cost is ...
10y +10y +2x +7x = 700
9x +20y = 700
y = (700 -9x)/20
We want to maximize the area:
A = xy = x(700 -9x)/20
We can do this by differentiating and setting the derivative to zero:
dA/dx = 700/20 -9x/10 = 0
350 -9x = 0 . . . . multiply by 10
x = 350/9 = 38 8/9
y = (700 -9(350/9))/20 = 350/20 = 17.5
The north and south sides are 38 8/9 ft long; the east and west sides are 17.5 ft long to maximize the area for the given cost.
Answer : 1 1/5
Step by step explanation :
2/5 orange = 1/3 pineapple
There are multiple ways to go about with this problem, but let’s just go with one of the simplest : Multiplying by the same thing on both sides.
How do we get from 1/3 to 1? We multiply by 3. So, to find how many cups of orange juice we use we need to multiply by 3 too.
2/5 times 3 = 6/5
6/5 = 1 and 1/5
So 1 and 1/5 is the answers, have a great day, and mark brainliest if possible!
6)
80+160+100+8x+8+5x+10=540
13x + 358 = 540
13x = 540 -358
13x = 182
x = 182/13
x = 14
answer x =14
7)
7x+13=8x-8
8x-7x=13+8
x = 21
answer x = 21
