The cost price of the table is $40.
<h3>What is Gain ?</h3>
Gain is the amount gain by selling the product at a higher price than its cost.
Let the cost of the table is $ x
The percentage gain is x% (as given in the question)
Cost price = ?
It is known that
Step 1 : Gain = ( selling Price - Cost Price) * 100 / Cost Price
Selling price = 56
Cost Price = $ x
Therefore substituting the value
x = (56 - x) * 100 / x
x² = 5600 - 100x
x² +100x -5600 = 0
Step 2 : Factorizing
x² + 140x - 40 x -5600 = 0
x( x+14 ) -40( x +14) = 0
( x - 40)(x +14) = 0
x = $40
Therefore the cost price of the table is $40.
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Answer.....15ft by 12ft
Explanation:
Area = Length × Width
180 = LW....make W the subject of formula
;W = 180/L
Perimeter = 2L + 2W
54 = 2L + 2(180/L)...sub W with the formula above...
then simplify the equation and obtain...
2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..
;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...
where W = 180/15 = 12ft
there you have...Length = 15ft and Width = 12ft
Answer:
x = – ⅓
Step-by-step explanation:
The solution to the expression can be obtained as follow:
–3.1x + 7 – 7.4x = 1.5x – 6(x – 3/2)
Clear bracket
–3.1x + 7 – 7.4x = 1.5x – 6x + 9
–3.1x – 7.4x + 7 = –4.5x + 9
–10.5x + 7 = –4.5x + 9
Collect like terms
–10.5x + 4.5x = 9 – 7
–6x = 2
Divide both side by –6
x = 2 / –6
x = – ⅓
Thus, the solution to the equation is –⅓
Answer: Infinitely Many Solutions
Step-by-step explanation is below.
