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lidiya [134]
3 years ago
6

I need some help please As soon as Possible ​

Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

9. 32 (1/20) = 1.6

    25 (1.6 = 40

    5x + 5 = 40

     5x + 5 - 5 = 40 - 5

     5x = 35

      (1/5) 5x = 35 (1/5)

       x = 7

10. 24 (1/6) = 4

     4 (4) = 16

      x + 6 = 16

      x + 6 - 6 = 16 - 6

      x = 10

11. 20 (3/4) = 15

    12 (3/4) = 9

     2x - 11 = 9

     2x - 11 + 11 = 9 + 11

     2x = 20

     (1/2) 2x = 20 (1/2)

      x = 10

12. 8 (1/4) = 2

     10 (1/2) = 5

     -3 + x = 5

     -3 + 3 + x = 5 + 3

     x = 8

13. 10 (1/5) = 2

     6 (2) = 12

     2x - 10 = 12

     2x - 10 + 10 = 12 + 10

     2x = 22

     (1/2) 2x = 22 (1/2)

     x = 11

14. 16 (1/8) = 2

     8 (1/2) = 4

     2x - 16 = 4

     2x - 16 + 16 = 4 + 16

     2x = 20

     (1/2) 2x = 20 (1/2)

     x = 10

     

     

       

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Solve and check the linear equation.<br> 3(x-2) + 8 = 2(x + 5)
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Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3(x - 2) + 8 = 2(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. (Parenthesis) Distribute:                                                                               3x - 6 + 8 = 2x + 10
  2. Combine like terms:                                                                                     3x + 2 = 2x + 10
  3. {Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10
  4. [Subtraction Property of Equality] Subtract 2 on both sides:                      x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                                                                                               3(8 - 2) + 8 = 2(8 + 5)
  2. (Parenthesis) Subtract/Add:                                                                         3(6) + 8 = 2(13)
  3. Multiply:                                                                                                         18 + 8 = 26
  4. Add:                                                                                                               26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

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Step-by-step explanation:

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