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AnnZ [28]
3 years ago
5

What value of c makes the equation true? (PLEASE HELP, and look at the picture)

Mathematics
2 answers:
Cloud [144]3 years ago
8 0

Answer:

\displaystyle c = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \frac{3}{6} = \frac{4}{c}

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

  1. Simplify [Reduce]:                                                                                             \displaystyle \frac{1}{2} = \frac{4}{c}
  2. [Multiplication Property of Equality] Cross-multiply:                                      \displaystyle c = 8
KiRa [710]3 years ago
3 0

Answer:

c = 8

Step-by-step explanation:

\small \sf \frac{3}{6} = \frac{4}{c } \\

  • Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.

c × 3 = 6 × 4

  • multiply 6 and 4 to get 24

3c = 24

  • divide both side by 3

\small \sf  \frac{3c }{3} = \frac{ 24} {3} \\

\small \sf  \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\

  • Divide 24 by 3 to get 8.

c = 8

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