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Citrus2011 [14]
2 years ago
6

What value of x makes the equation true? 3(4x-5)-4x+1=-6 Please show work

Mathematics
1 answer:
V125BC [204]2 years ago
3 0

Answer:

x = 1

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

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3(4x - 5) - 4x + 1 = -6

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

  1. Distribute 3:                    12x - 15 - 4x + 1 = -6
  2. Combine like terms:       8x - 14 = -6
  3. Isolate <em>x</em> term:                 8x = 8
  4. Isolate <em>x</em>:                          x = 1

<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>:                    3(4(1) - 5) - 4(1) + 1 = -6
  2. Multiply:                               3(4 - 5) - 4 + 1 = -6
  3. Subtract:                              3(-1) - 4 + 1 = -6
  4. Multiply:                               -3 - 4 + 1 = -6
  5. Subtract:                              -7 + 1 = -6
  6. Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

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Answer:

\dfrac{11}{30}

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{3}{5}=0.6.

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is \dfrac{3}{10}=0.3.

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{1}{5}=0.2.

The probability to choose each urn is the same and is equal to \frac{1}{3}.

Thus, the probability that the marble is red is

\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.

4 0
3 years ago
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Step-by-step explanation:

If you borrow $120,000 at an APR of 7% for 25 years, you will pay $848.13 per month. If you

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Step-by-step explanation:

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2 years ago
-1/2x + 1/8 = -1/3x - i/4
brilliants [131]

Answer:

x= 4/9

Step-by-step explanation:

-1/(2x) + 1/8 = -1/(3x) - 1/4

-1/(2x)+1(3x)= - 1/4 -1/8

-3/(6x)+2(6x) = -2/8 -1/8

- 1/(6x) = - 3/8

-1*8 = -3*6x

8=18x

x= 8/18= 4/9

Check:

-1/(2*4/9) + 1/8 = -1/(3*4/9) - 1/4

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-9/8+1/8 = - 3/4-1/4

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3 0
3 years ago
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