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Anvisha [2.4K]
3 years ago
12

3x+4=7-2x Solve this equation for x with steps

Mathematics
1 answer:
ollegr [7]3 years ago
5 0
Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
4 + 3x = 7 + -2x

Solving
4 + 3x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7

Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4

Combine like terms: 7 + -4 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Answer: x = 0.6
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3. What is the slope of the line that contains the
dlinn [17]

Answer:

I think the answer would be -1/2 or D.

Step-by-step explanation:

Use this formula for calculating slope : y2-y1 / x2 - x1                                                            

1. label the pairs, 1 and 2

(-6, 1)  - ( x1, y1 )          or        (4,-4) - (x1, y1)

(4,-4) - ( x2, y2)                      (-6,1) - (x2, y2)  

(the order does not matter)

2. Than plug in your numbers

y2-y1 / x2 -x1                 y2-y1 / x2 -x1

-4 - 1 / 4 - (-6)        or        1 - (-4) / -6 - 4

= -5/10 or -1/2               = - 5/-10 or -1/2

im only in eight grade so i did my best explaining , and this hope it helps :)

7 0
3 years ago
Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, a
Bogdan [553]

Answer:

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 feet^2

Step-by-step explanation:

Given: Lawn is rectangular in shape

          Length of lawn is 5 feet more than twice its breath/width

           Perimeter of Lawn = 250 feet

To find: (a) Length and width of lawn

             (b) Area of Lawn

First let the a variable for width/breadth. Say, Width = b.

So, the length of lawn = 2b + 5

Perimeter of Rectangle = 2 × ( length + width )

Now, substitue given values in this formula

∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )

250 = 2\times{(2b+b+5)}\\250= 2\times{(3b+5)}\\3b+5 = \frac{250}{2}\\3b = 125 -5\\3b = 120\\b=\frac{120}{3}\\b=40

∴width = 40 feet

⇒ length = 85 feet

Now we find are of lawn using formula of area of rectangle

Area of lawn = length × width

                     = 85 × 40

                     = 3400 feet^2

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 feet^2

7 0
3 years ago
Identify the property used in the first five steps to solve the equation 2(x-5)-6x=-22
Alona [7]
To answer this question, you need to multiply the number inside the bracket first. Then you can move the number to the right side of the equal sign and keep the x on the left side of the equal sign. The step would be like this
2(x – 5) - 6x= -22(2x - 10) - 6x = -222x - 6x  = -22 +10-4x= -12x= -12/-4x=3
Hope this helps!!!
8 0
3 years ago
Read 2 more answers
What is the answer for 2x-5+6
julsineya [31]
2x - 11 is the answer because you don’t know what x is equal to
5 0
3 years ago
Read 2 more answers
What is a positive angle less than 360 degrees that is conterminal with -289 degrees
wel

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

  • When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
  • When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
  • To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

4 0
3 years ago
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