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maria [59]
2 years ago
5

A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel

to one of the sides of the rectangle. what should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence?
Mathematics
1 answer:
pogonyaev2 years ago
8 0
3x +2y A =xy = 6,000,000 y = 6,000, 000/x L = 2x + 12,000,000/x 3- (12,000,000/x^2) = 0 3 = 12, 000,000/x^2 sqrt x^2 = sqrt 4,000,000 x = 2,000 and y = 3,000 <span>
</span>
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The answer will be -1.

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What is the percent decrease from $150 to $100?
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The best thing to do us to find the difference between $150 and $100. The difference is $50. You've then got to divide $150/$50 and thus gives you 3.333, therefore, the percentage decrease is 33% Hope this helps :)
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Four more than the quotient of a number and 3 is 9
barxatty [35]

The algebraic expression of "Four more than the quotient of a number and 3 is 9" is \frac{x}{3}+4=9

The value of x=15

Step-by-step explanation:

We need to express "Four more than the quotient of a number and 3 is 9" as algebraic expression.

Let the number = x

Solving:

quotient of a number and 3: \frac{x}{3}

Four more than the quotient of a number and 3: \frac{x}{3}+4

Four more than the quotient of a number and 3 is 9: \frac{x}{3}+4=9

Now, finding value of x:

\frac{x}{3}+4=9\\Adding\,\,-4\,\,on\,\,both\,\,sides:\\\frac{x}{3}+4-4=9-4\\\frac{x}{3}=5\\Multiply\,\,both\,\,sides\,\,by\,\,3:\\x=5*3\\x=15

So, value of x = 15

Keywords: Algebraic expression

Learn more about algebraic expression at:

  • brainly.com/question/1600376
  • brainly.com/question/1617787
  • brainly.com/question/9720317

#learnwithBrainly

4 0
2 years ago
The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
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