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SVETLANKA909090 [29]
3 years ago
14

What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0

Answer:

x = 2

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>

0.4(12 - 3x) = 0.3(12x - 16)

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

  1. Distribute:                                4.8 - 1.2x = 3.6x - 4.8
  2. Add 1.2x on both sides:          4.8 = 4.8x - 4.8
  3. Add 4.8 on both sides:           9.6 = 4.8x
  4. Divide 4.8 on both sides:       2 = x
  5. Rewrite:                                   x = 2
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ddd [48]

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Alex787 [66]
\text{The length of the diagonal is }11.2\text{ mm}

Here, we want to find the diagonal of the given solid

To do this, we need the appropriate triangle

Firstly, we need the diagonal of the base

To get this, we use Pythagoras' theorem for the base

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According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

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\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}

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\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}

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