MATHEMATICS MIDDLE SCHOOL

What is the solution to the system of equations?
X+y=5
X-2y=2
( , )

Answers

Answer 1
Answer: x+y=5
x=5-y

x-2y=2
5-y-2y=2
5-3y=2
-3y=2-5
-3y=-3
-y=-1
y=1

x+1=5
x=4

x-2(1)=2
x-2=2
x=2+2
x=4

The solution of the system of equations is x=4, y=1, or (4,1)
Answer 2
Answer: Y=-x+5
X-2(-x+5)=2
X+2x-10=2
3x=12
X=4

y+4=5
Y=1
The answer is (4,1)

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What is the surface area of the figure?     A. 408 ft2   B. 458 ft2   C. 545 ft2   D. 720 ft2

Answers

There are 2 faces 7 x 5

2*(5*7)=2*35=70ft^2

There 2 faces 5 x 5

2*(5*5)=2*25=50ft^2

there are 3 faces 5 x 12

4*(5*12)=4*60=240ft^2

There are 2 faces 7 x 7

2*(7*7)=2*49=98ft^2

Now only we have to sum all of them together

98+240+50+70=458ft^2
cuboid : \n \n l=12 \ ft , \ \ w = 5 \ ft , \ \ h= 7 \ ft \n \n A = 2wl + 2lh + 2hw \n \nA=2\cdot 5\cdot 12 + 2\cdot 12\cdot 7 + 2\cdot 7\cdot 5 = 120+ 168 +70 = 358 \ ft^2 \n \n cube: \n \n four \ side \ walls : \n \n s= 5 \ ft \n \n 4 \cdot s^2 = 4 \cdot 5^ 2 = 4*25 = 100 \ ft^2 \n \n surface \ area \ of \ the \ figure : \n \n 358 +100 = 458 \ ft^2 \n \n Answer : \ B. \ 458 ft^ 22

What is the explaining 8688 divided by 8.2 = what

Answers

You just show your work for dividing 8688/8.2 which comes out to be 1059.5121

Kassie is building a bench that's 4 1/3 feet long 2 1/2 feet high and 2 1/2 feet wide what is the volume of the bench

Answers

4.333 x 2.5 x 2.5 = 27.081 = 27.08

1. Cylinder A, B, and C have the same radius but different heights. Put the cylinders inorder of their volume from least to greatest.

Answers

The order of volume from least to greatest is C, B and A.

Step-by-step explanation:

Given:

Three Cylinders namely A, B, and C with different heights have the same radius.

To Find:

Arrange the cylinders from least to greatest with respective to their volume.

Formula for volume of cylinder:

                                               V= \pi r^(2) h

                                           i.e V∝ h              (for constant radius)

where,

           r = radius of cylinder

           h = height of cylinder

we see that Volume is directly proportional to height.

Consider, h_(1), h_(2),h_(3) are the heights of cylinder A,B,C respectively, such that;

                                    h_(1) > h_(2) > h_3}

And,  V_(1), V_(2),V_(3)  are the volume of cylinder A,B,C respectively.

So the order of volume will also be,

                                     V_(1) > V_(2) > V_3}

What is the simplified form of the quantity of x plus 9, all over the quantity of 8 − the quantity of x plus 3, all over the quantity of x plus 2?

Answers

Is this the problem? 
(x+9)
(8 - x + 3)  ÷            X+2

Answer: (x^2 +3x-6)/(8(x+2))

Step-by-step explanation:

What are the name of irregular triangles

Answers

If you mean irregular triangles as in all different side lengths, it's scalene.
It may be scalene, which means all sides aren't the same, or what you said, irregular.
It could be isosceles, where two sides are the same, and one side is not.
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