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erastovalidia [21]
4 years ago
7

Solve S= 2HW + 2HL + 2WL for L.

Mathematics
1 answer:
puteri [66]4 years ago
8 0

To solve for L, you need to isolate/get the variable "L" by itself in the equation:

S = 2HW + 2HL + 2WL    Subtract 2HW on both sides

S - 2HW = 2HW - 2HW + 2HL + 2WL

S - 2HW = 2HL + 2WL    Take out the "L" in 2HL and 2WL

S - 2HW = L(2H + 2W)    Now divide (2H + 2W) to get "L" by itself

\frac{S-2HW}{2H +2W} =\frac{L(2H+2W)}{2H+2W}

\frac{S-2HW}{2H+2W} =L

I think you can stop here, but if you need or want to simplify:

\frac{S}{2H+2W} -\frac{HW}{H+W} =L     which looks longer so I don't know if you need to do this

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Answer:

If 9 chairs were sold,  the store must sell  11 tables in order to meet the requirements.

Step-by-step explanation:

Selling price of each table = $50

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Also, The total  selling amount should at least be $5,000

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x +  y ≤  20

50 x +  550 y ≥ 5,000

Solving the given system:

put y =  20 - x from (1) in the equation (2), we get

50 x +  550 y =  5,000 ⇒ 50x + 550(20 -x) = 5000

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x = 12

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also, y = 20- x = 20 - 12 = 8

So, number of tables sold at maximum  = 8

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The selling amount is   50(9) + 550(11) =  $6,500  > $5,000

Hence,  9 chairs were sold,  the store must sell   11 tables in order to meet the requirements.

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Answer:

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Total length / unit lenght = Number of pieces

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</span>
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Answer:

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