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BaLLatris [955]
2 years ago
8

Please answer below :-)

Mathematics
1 answer:
katrin2010 [14]2 years ago
4 0

Step-by-step explanation:

\frac{2x - 1}{4}  +  \frac{x}{3}  = 2

find a common denominator of 12 for each fraction

\frac{3}{3}  \times  \frac{(2x - 1)}{4}  +  \frac{4}{4}  \times  \frac{x}{3}  =  \frac{12}{12}  \times  \frac{2}{1}

\frac{6x - 3}{12}  +  \frac{4x}{12}  =  \frac{24}{12}

\frac{6x - 3 + 4x}{12}  =  \frac{24}{12}

\frac{10x - 3}{12}  =  \frac{24}{12}

multiply both sides by 12

12 \times  \frac{10x - 3}{12}  =  \frac{24}{12}  \times 12

12s cancel out

10x - 3 = 24

add three to both sides

10x - 3 + 3 = 24 + 3

10x = 27

divide both sides by 10

\frac{10x}{10}  =  \frac{27}{10}

The tens on the left side cancel

x =  \frac{27}{10}  = 2.7

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3 years ago
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2 years ago
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2 years ago
Find the distance between the
Dovator [93]

Answer:

\displaystyle d = \sqrt{29}

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<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

<u>Step 1: Define</u>

<em>Identify</em>

Point (5, 10)

Point (10, 12)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{5^2 + 2^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{25 + 4}
  4. [√Radical] Add:                                                                                                  \displaystyle d = \sqrt{29}
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2 years ago
The sum of two consecutive even numbers is 18.find the numbers​
vovikov84 [41]

Answer:

Numbers are 8  and  10

Step-by-step explanation:

    10 + 8 = 18

8 0
2 years ago
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