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3 years ago

5

What expression is equivalent to 4(2x+1)-(-6x)

2 answers:

WARRIOR [948]3 years ago

8 0

The answer is 14x+4
First you distribute the 4 to the numbers inside the parentheses. 4(2x)=8x and 3(1)=4

You do the same for -(6x) but you distribute the negative sign. A negative times a negative is a positive so -(-6x)= 6x

Now your new equation is 8x+4+6x

Next you have to combine like terms. The like terms is this equation is 8x and 6x. So 8x+6x= 14x

Your final answer is 14x+4

hjlf3 years ago

5 0

Well, you could partially solve this and get some that are equivalent.

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A farmer has 90 feet of fence with which to make a corral. If he arranges it into a rectangle that is twice as long as it is wid

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3 years ago

Read 2 more answers

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

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3 years ago