If the number is taken as x,
15x - 8
Answer:
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Step-by-step explanation:
Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
Answer:
10
Step-by-step explanation:
10+3 = 13
13 x 7 = 91
If he puts 300 sunfish into the pond, he will put 225 perch in the pond.
<h3>What is a ratio?</h3>
A ratio is the comparison of one thing to another. Generally, ratios compares value.
They store the children pond keeping a ratio of 4 sunfish to 3 perch. Therefore, the ratio of sunfish to perch will be as follows
If he 300 sunfish into the pond , the number of perch that will be in the pond can be calculated as follows:
cross multiply
4x = 900
x = 900 / 4
x = 225
learn more on ratios here: brainly.com/question/89456?referrer=searchResults