SOLUTION: I do not need the answer i just need a step by step instruction so I can solve these kinds of problems. I have several that are like this.
an aquarium holding african cichl
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-> SOLUTION: I do not need the answer i just need a step by step instruction so I can solve these kinds of problems. I have several that are like this.
an aquarium holding african cichl
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Question 630233: I do not need the answer i just need a step by step instruction so I can solve these kinds of problems. I have several that are like this.
an aquarium holding african cichlids is 3 inches higher than it is wide. Its length is 31 inches, and its volume is 4030 cubic inches.
What is the height and width of the aquarium? Found 2 solutions by ewatrrr, AnlytcPhil:Answer by ewatrrr(24785) (Show Source):
Hi,
an aquarium holding african cichlids is 3 inches higher than it is wide l = 31 in
Question states*** h = (w+3)
w(w+3) = 130
w^2 + 3w -130 = 0
factor
(w+13)(w-10) = 0 (Tossing out negative solution for unit measure)
w = 10in and h = 13in
You can also do it by substituting directly into the volume formula
and waiting to divide through by 31:
VOLUME = LENGTH·WIDTH·HEIGHT
V = L·W·H
We substitute 4030 for V, since we are given that
We substitute 31 for L, since we are given that
We leave W as it is, that is our unknown variable
We substitute (W+3) for the width, since we are given that it is 3 inches
higher than it is wide.
4030 = 31·W·(W+3)
Divide through by 31
130 = W(W + 3)
130 = W² + 3W
Get 0 on the left
0 = W² + 3W - 130
Factor the right side:
0 = (W - 10)(W + 13)
Use zero-factor principle:
0 = W - 10; 0 = W + 13
10 = W -13 = W
Discard the negative answer, and the solution is
The width is 10 inches.
Edwin
