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3 years ago

Solve for r 5(r-10)=-51

Mathematics

2 answers:

Pie3 years ago

8 0

Answer:

r=−1/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(r−10)=−51

(5)(r)+(5)(−10)=−51(Distribute)

5r+−50=−51

5r−50=−51

Step 2: Add 50 to both sides.

5r−50+50=−51+50

5r=−1Step 3: Divide both sides by 5.

5r/5=−1/5

r=−1/5

Bad White [126]3 years ago

8 0

Answer:

Step-by-step explanation:

5(r - 10) = -51

5r - 50 = -51

5r = -51 + 50

5r = -1

r = - ¹/₅ or 0.2

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sergiy2304 [10]

n > 13

Step-by-step explanation:

n-8> 5=

Add 8 to both sides.

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Add 5 and 8 to get 13.

n > 13

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3 years ago

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natta225 [31]

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Step-by-step explanation:

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3 years ago

A farmer is constructing a rectangular pen with one additional fence across its width. Find the maximum area that can be enclose

konstantin123 [22]

The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

$\mathbf{P = 360}$

Because it has one additional fence, the perimeter is calculated as:

$\mathbf{2x + y = 360}$

Make y the subject

$\mathbf{y = 360 - 2x}$

The area is calculated as:

$\mathbf{A = xy}$

Substitute $\mathbf{y = 360 - 2x}$

$\mathbf{A = x(360 -2x)}$

Expand

$\mathbf{A = 360x -2x^2}$

Differentiate

$\mathbf{A' = 360 -4x}$

Set to 0

$\mathbf{360 -4x = 0}$

Rewrite as:

$\mathbf{4x = 360}$

Divide both sides by 4

$\mathbf{x = 90}$

Substitute 90 for x in $\mathbf{A = 360x -2x^2}$

$\mathbf{A = 360 \times 90 - 2 \times 90^2}$

$\mathbf{A = 16200}$

Hence, the maximum area is 16200 square yards