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3 years ago

X/3 - 4 = (-20) what is the answer

Mathematics

2 answers:

const2013 [10]3 years ago

5 0

Answer: -48

Step-by-step explanation: You will add the 4 to each side of the equation, making the 4 on the left side cancel and on the right side when you add The 4, you are actually subtracting because anytime you have a negative and a positive you will subtract and take the sign of the larger number. That will leave you with x/3=-16. Multiply everything by 3 to get rid of the fraction and that will leave you with x=-48

melisa1 [442]3 years ago

3 0

Answer:

x=-48

Step-by-step explanation:

Add 4 to both sides and then multiply both sides by 3.

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3 years ago

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Sindrei [870]

Answer:

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Step-by-step explanation:

12 inches = 1 ft

so 12 inch by 12 inches is 1 ft * 1 ft

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3 years ago

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.

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3 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Marina86 [1]

Answer:

$\boxed{\sf (f - g)(x) = 2x - 3}$

Given:

f(x) = 3x - 1

g(x) = x + 2

To Find:

(f - g)(x)

Step-by-step explanation:

$\sf (f -g)(x) = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x - 1) - (x + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x - 1 - x - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x - x - 1 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x - x) - (1 + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x - (1 + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x - 3$

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3 years ago