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Shtirlitz [24]
3 years ago
9

3x-5=2(2x+5) how do you slove it

Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

Answer:

x = -15

Step-by-step explanation:

3x-5=2(2x+5)

Expand by using distributive property

3x - 5 = 4x + 10

Subtract 4x from both sides

3x - 5 - 4x = 4x + 10 - 4x

Simplifying

-x - 5 = 10

Add 5 to both sides

-x - 5 + 5 = 10 + 5

Simplifying

-x = 15

Divide both sides by -1

x = -15

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The length of a rectangle is five times its width. If the area of the rectangle is 320m, find the perimeter
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Answer: The perimeter is 96 m

Step-by-step explanation:

If we tag the length of the rectangle as l and the width as w, and if in addition we are told l=5 w,the dimensions of the rectangle are as shown in the figure.

Now, the area of a rectangle is given by:

A=(l)(w)=320 m^{2}

Since l=5 w:

A=(5w)(w)=320 m^{2}

Isolating w:

5w^{2}=320 m^{2}

w=\sqrt{\frac{320 m^{2}}{5}}

w=8 m

On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure w and two sides that measure 5 w, the perimeter is:

P=2(5)(w)+2w

Substituting the value of w in the last equation:

P=2(5)(8 m)+2(8 m)

Finally the perimeter is:

P=96 m

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4 years ago
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3 years ago
Twelve eggs cost $2.09.How much would 18 eggs cost?
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3 years ago
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Answer:

The complete explanation and solution is attached below:

Explanation:

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