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babunello [35]
2 years ago
7

What is the value of x in this equation? 2x – 12 = -52

Mathematics
2 answers:
hodyreva [135]2 years ago
8 0

Answer:

2x - 12 =  - 52 \\ 2x =  - 52 + 12 \\ 2x =  - 40 \\ \boxed{x =  - 20}

<h3>-20 is the right answer.</h3>
Scrat [10]2 years ago
5 0

Answer:

x = -20

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

2x - 12 = -52

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

  1. Add 12 on both sides:                     2x = -40
  2. Divide 2 on both sides:                   x = -20

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                      2(-20) - 12 = -52
  2. Multiply:                                 -40 - 12 = -52
  3. Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

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Which of the following is an equivalent form of the compound inequality −22 &gt; −5x − 7 ≥ −33?
Finger [1]

The equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2

<h3>Solving inequalities </h3>

From the question, we are to determine the equivalent form of the compound inequality

We will solve the given compound inequality

The given inequality is

−22 > −5x − 7 ≥ −33

We can write that

−22 > −5x − 7 AND −5x − 7 ≥ −33

Solving  −22 > −5x − 7

5x > -7 +22

5x > 15

x > 15/5

x > 3

Also,

Solve −5x − 7 ≥ −33

−5x ≥ −33 +7

-5x ≥ -26

x ≤ -26/-5

x ≤ 5.2

Hence, the equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2

Learn more on Inequalities here: brainly.com/question/20356565

#SPJ1

5 0
2 years ago
Gavin and Caleb go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $22.25 on 2 bags of
gavmur [86]

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25         multiply this equation by 6

12*P + 4D = 39.00

<u>12P + 18D = 133.5</u>          Subtract these two equations

- 14D = - 94.50               Divide by -14

-14D/-14 = -94.5/-14        Do the division

D = 6.75

=========================

12P  +  4D = 39            Substitute for D

12P + 4*6.75 = 39        Combine

12P + 27 = 39               Subtract 27 from both sides

12P + 27-27=39-27      Collect like terms

12P = 12                        Divide by 12

12P/12 = 12/12

P = 1                               Answer

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Answer:

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Step-by-step explanation:

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spayn [35]

Answer:

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Step-by-step explanation:

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3 years ago
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