The answer:
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3/7, 4/5, 5/6 .
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Answer:
the dimensions of the most economical shed are height = 10 ft and side 5 ft
Step-by-step explanation:
Given data
volume = 250 cubic feet
base costs = $4 per square foot
material for the roof costs = $6 per square foot
material for the sides costs = $2.50 per square foot
to find out
the dimensions of the most economical shed
solution
let us consider length of side x and height is h
so we can say x²h = 250
and h = 250 / x²
now cost of material = cost of base + cost top + cost 4 side
cost = x²(4) + x²(6) + 4xh (2.5)
cost = 10 x² + 10xh
put here h = 250 / x²
cost = 10 x² + 10x (250/ x² )
cost = 10 x² + (2500/ x )
differentiate and we get
c' = 20 x - 2500 / x²
put c' = 0 solve x
20 x - 2500 / x² = 0
x = 5
so we say one side is 5 ft base
and height is h = 250 / x²
h = 250 / 5²
height = 10 ft
Total number of cards in the stack =180
Height of stack (all cards) = 38 inches
Now, we know that the thickness of 180 cards is 38 inches,
now the thickness of one card can be obtained by dividing the total thickness by the number of cards
Thickness of 1 card = Total thickness of all cards/ total number of cards
Thickness of 1 card = 38 inches/180 = 0.211111.....inches
Each card is 0.21 inch thick (rounded to two decimals)
Answer:
x = 14 y = -3x + 3
Step-by-step explanation:
Answer:
10b+40c
Step-by-step explanation:
10(b + 4c) you have to multiply 10 by each member
10b+40c
