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Dennis_Churaev [7]
2 years ago
8

Seth measured a hotel and made a scale drawing the the scale he used was 1 inch : 3 feet the actual of the hotel is 18 feet how

wide is the room in the drawing?
Mathematics
1 answer:
sertanlavr [38]2 years ago
7 0

Answer:

Step-by-step explanation:

Width of the room in the drawing = x

1 : 3 :: x : 18

Product of means = Product of extremes

         3 * x =  18 *1

             x = 18 ÷ 3

            x = 6

Width of the room in the drawing = 6 inches

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Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

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\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

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Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

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