Answer :

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Answer:

[tex]y=1.44[/tex]

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{4.5}{y} =\frac{12.5}{4}[/tex]

Step 2: Solve for y

  1. Cross-multiply:                    [tex]4(4.5) = 12.5y[/tex]
  2. Multiply:                               [tex]18 = 12.5y[/tex]
  3. Isolate y:                              [tex]1.44 = y[/tex]
  4. Rewrite:                               [tex]y=1.44[/tex]

Step 3: Check

Plug in y to verify it's a solution.

  1. Substitute:                    [tex]\frac{4.5}{1.44} =\frac{12.5}{4}[/tex]
  2. Divide:                          [tex]3.125=3.125[/tex]

Here, we see that 3.125 does indeed equal 3.125. ∴ y = 1.44 is a solution of the equation.

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