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faltersainse [42]
3 years ago
14

Solve for k, its a proportion 10/7=8/k

Advanced Placement (AP)
1 answer:
Viefleur [7K]3 years ago
6 0

Answer:

k = 28/5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Explanation:

<u>Step 1: Define</u>

10/7 = 8/k

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

  1. Cross-multiply:                              10k = 56
  2. Isolate <em>k</em>:                                        k = 56/10
  3. Simplify:                                         k = 28/5

<u>Step 3: Check</u>

<em>Plug in k to verify it's a solution.</em>

  1. Substitute:                    10/7 = 8/28/5
  2. KCF:                              10/7 = 40/8
  3. Simplify:                        10/7 = 10/7

Here we see that 10/7 does indeed equal 10/7.

∴ k = 28/5 is a solution of the equation.

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