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Step2247 [10]
2 years ago
11

0.5(r+2.75) = 30.5(r+2.75)=3

Mathematics
1 answer:
astraxan [27]2 years ago
3 0

Answer:

3.25 and -2.651639344262295...

Step-by-step explanation:

if 0.5(r + 2.75) = 3, then r = 3.25

if 30.5(r + 2.75) = 3, then r = -2.651639344262295...

<u>I would appreciate Brainliest, but no worries.</u>

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By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

<h3>How to solve an algebraic equation</h3>

In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:

  1. - 10 · x + 1 + 7 · x = 37     Given
  2. (- 10 · x + 7 · x) + 1 = 37   Associative property
  3. -3 · x + 1 = 37     Distributive property/Definition of subtraction
  4. - 3 · x = 36     Compatibility with addition/Definition of subtraction
  5. x = 12     Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

To learn more on linear equations: brainly.com/question/2263981

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