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oksian1 [2.3K]
3 years ago
12

when 3 is divided by the sum of x and 8 ,the result is the same as dividing 2 by the sum of x and 3,find the number​

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

x = your number

3 / ( x + 8 ) = 2 / ( x + 3 )

Cross multiply

3 ∙ ( x + 3 ) = ( x + 8 ) ∙ 2

3 x + 9 = 2 x + 16

Subtract 2 x to both sides

x + 9 = 16

Subtract 9 to both sides

x = 7

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Romashka [77]

Answer:

x ≈ 11.5

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

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle = 35°

Opposite Leg = <em>x</em>

Hypotenuse = 20

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

  1. Substitute [sine]:                    sin35° = x/20
  2. Isolate <em>x</em>:                                 20sin35° = x
  3. Evaluate:                                 11.4715 = x
  4. Rewrite:                                  x = 11.4715
  5. Round:                                    x ≈ 11.5
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