A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. The perimeter is 48 feet. If the material used to build the pen is $1.85 per foot for the longer sides and $2.35 per foot for the shorter sides (the shorter sides have gates, which increase the cost per foot), find the cost to build the pen.

Answers

Answer 1

Answer: Wow! This has to handled one step at a time.
Step 1). Find the actual dimensions of the pen.
Step 2). Decide the total amount on longer sides
and the total amount on shorter sides.
Step 3). Work out the costs.

Dimensions of the pen:
"Twice as long as it is wide".
Width = W feet
Length = 2W feet
Perimeter = W + 2W + W + 2W = 6W = 48 feet
Width = W = 8 feet
Length = 2W = 16 feet

Amount on long sides and short sides:
The longer sides are 16 feet.
There are 2 of them.
Total mount on longer sides = 32 feet.

The shorter sides are 8 feet.
There are 2 of them.
Total amount on shorter sides = 16 feet.

Costs:
Longer sides: (32 feet) x ($1.85 per feet) = $59.20
Shorter sides: (16 feet) x ($2.35 per foot) = $37.60
Total cost of material to build the pen = $96.80

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Answers

is there anything else you can tell me

Write an equation to represent the sentence.Nine times a number y subtracted from 85 is seven times the sum of four and y.

Answers

The equation for nine times a number y subtracted from 85 is seven times the sum of four, and y is 85 - 9y = 7(4 + y).

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation in the word is "Nine times a number y subtracted from 85 is seven times the sum of four and y"

Let the number is y:

The nine times a number = 9y

Subtract from 85:

85 - 9y

Seven times the sum of 4 and y = 7(4 + y)

Now on equating:

85 - 9y = 7(4 + y)

Thus, the equation for nine times a number y subtracted from 85 is seven times the sum of four, and y is 85 - 9y = 7(4 + y).

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

85 - 9Y = 7(4 + Y)

Step-by-step explanation:

Nine times a number Y. = 9 * Y = 9Y

subtracted From 85 = 85 - 9Y........... Equation 1

seven times sum of 4 and Y = 7(4 + Y)....... Equation 2

Equate Equation 1 and 2

85 - 9Y = 7(4 + Y)

What is the value of x in the solution to the following system of equations?x − 2y = 2
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Answers

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x -2y = 2
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3x + y = 17 and 4x - y = 18

Answers

I'm not sure if this is what you're asking for but here goes...
3x + y = 17
+ 4x - y = 18
———————
7x = 35
x = 5

sub x = 5 into eq. 1
3x + y = 17
(3 × 5) + y = 17
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subtract 15 from both sides of the equation.
y = 2

Final Answer - ( 5 , 2 )
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