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natita [175]
3 years ago
7

The LCD PLEASEEEE EEEEE

Mathematics
1 answer:
mestny [16]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

(x + 2) ÷ 2 + (x + 4) ÷ 4 = 4

lcm is 6

(x + 2) ÷ 2 × 6 + (x + 4) ÷ 3 × 6 = 4

(x + 2) × 3 + ( x + 4) × 2 = 4

3x + 6 + 2x + 8 = 4

correct like terms

3x + 2x + 6 + 8 = 4

5x + 14 = 4

5x + 14 - 14 = 4 - 14

5x = - 10

5x ÷ 5 = -10 ÷ 5

x = -2

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F is between E and G. EF=3X, EG= 11x-2, FG= 5x+16. Find the value of the variable
Salsk061 [2.6K]

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The sum of segments is used:

  EF +FG = EG

  3x +(5x +16) = 11x -2 . . . . substitute given expressions

  8x +18 = 11x . . . . . . . . add 2

  18 = 3x . . . . . . . . subtract 8x

  6 = x . . . . . . divide by 3

The value of the variable is 6.

__

<em>Check</em>

The segment lengths are ...

  EF = 3x = 3·6 = 18

  FG = 5x+16 = 5·6 +16 = 46

  EG = 11x -2 = 11·6 -2 = 64 = 18+46 . . . answer is correct

3 0
3 years ago
The ratio of x to y is 1/2 . If the ratio of x + 2 to y + 1 is 2/3 , then what is the value of x?​
Natali5045456 [20]

Answer:

x =4

Step-by-step explanation:

x/y = 1/2

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Cross multiply the first equation

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Put that value for y into the second equation.

(x + 2) / (2x + 1) = 2/3              Cross multiply

3(x + 2) = 2(2x + 1)                   Remove the brackets.

3x + 6 = 4x + 2                        Subtract 3x from both sides

6 = 4x - 3x + 2

6 = x + 2                                  Subtract 2 from both sides

6-2 = x

x = 4

5 0
3 years ago
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