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3 years ago

A shirt originally cost $39.39, but it is on sale for $27.57. What is the percentage decrease of the price of the shirt?

Mathematics

1 answer:

IgorLugansk [536]3 years ago

3 0

30 percent decrease

Step-by-step explanation:

looking at this i know its a percent decrease

so how do we find percent decrease ?

first we subtract the first value 39.39 & the final value 27.57

39.39-27.57 = 11.82

then we divide 11.82 by the first value

like this 11.82÷39.39 = 0.3000

then we multiply what we got by 100

0.3000×100= 30 percent

the way that most people mess up is when they divide sometimes they might do 39.39 divided by 11.82 instead of 11.82÷39.39.

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Answer:

Width of lawn = 35 ft

Dimensions of factory = length: 210 ft, width: 140 ft

Step-by-step explanation:

The total area of the lot can be calculated as:

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Since, the area of factory should be equal to area of lawn:

$A_{lot} = A_{factory} + A_{lawn}\\58800 = 2 A_{factory or lawn}\\\\A_{factory or lawn} = \frac{58800}{2}\\A_{factory or lawn} = 29400 ft^{2}$

Now, let 'x' be the width of lawn, the dimensions of factory can be written as:

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Since, area is equal to length x width:

$(210-2x)*(280-2x) = 29400\\Simplifying:\\210*280 - 210*2x - 2x*280 + 4x^{2} = 29400\\58800 - 420x - 560x +4x^{2} = 29400\\4x^{2} - 980x +58800 = 29400\\4x^{2} - 980x + 29400 = 0\\$

Divide whole equation by 4,

$x^{2} - 245 + 7350 = 0\\$

Solving above quadratic equation, we get,

$x = 210\\x = 35\\$

x = 35 seems realistic width of the lawn.

Now, finding the dimension of factory:

$(210-2x) = 210 - 2(35) = 140 ft\\(280-2x) = 280 - 2(35) = 210ft$

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