Respuesta :

Space

Answer:

[tex]n = 8[/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

Algebra I

  • Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{5}{35} = \frac{n}{56}[/tex]

Step 2: Solve for n

  1. Simplify:                              [tex]\frac{1}{7} = \frac{n}{56}[/tex]
  2. Cross-multiply:                   [tex]56 = 7n[/tex]
  3. Isolate n:                             [tex]8 = n[/tex]
  4. Rewrite:                              [tex]n = 8[/tex]
5/35 = n/56

Cross multiply

5x56 = 35xn

280=35n

280/35 = 35n/35

8 = n

n = 8