Respuesta :

Space

Answer:

[tex]\displaystyle x = 24[/tex]

General Formulas and Concepts:

Pre-Algebra

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

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4}{5} = \frac{x}{30}[/tex]

Step 2: Solve for x

  1. [Multiplication Property of Equality] Cross-multiply:                                      [tex]\displaystyle 5x = 120[/tex]
  2. [Division Property of Equality] Divide 5 on both sides:                                [tex]\displaystyle x = 24[/tex]