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rosijanka [135]
2 years ago
8

PLS HELP ASAP!! ALGEBRA 9!! 4.29-x+36=102-2.52x+2

Mathematics
1 answer:
Andrei [34K]2 years ago
4 0

Answer:

  x = 29

Step-by-step explanation:

If the equation is :

4.2(9-x)+36=102-2.5(2x+2)

→distribute 4.2 and -2.5 in parenthesis

4.2(9 - x) + 36 = 102 -2.5(2x + 2)

37.8 - 4.2x +36 = 102 -5x -5

→  have terms with x = terms without x

Keep the terms you need the way they are, and move the terms you need on the other side of equal sign with changed sign.

4.2(9 - x) + 36 = 102 -2.5(2x + 2)

37.8 - 4.2x +36 = 102 -5x -5

 - 4.2x  +5 x  = - 37.8 - 36 + 102 - 5

→ Combine like terms

             0.8x  = 23.2

→ Divide both sides by 0.8

                    x = 29

                   

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Misha Larkins [42]

Final Answer: -12x + 1.5

Steps/Reasons/Explanation:

Question: Which expression is equivalent to -3(4x - 0.50)?

<u>Step 1</u>: Expand by distributing terms.

-3 × 4x - 3 × -0.50

<u>Step 2</u>: Simplify -3 × 4x to -12x.

-12x - 3 × -0.50

<u>Step 3</u>: Simplify 3 × -0.50 to -1.5.

-12x - (-1.5)

<u>Step 4</u>: Remove parentheses and add.

-12x + 1.5

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3 years ago
What is the value of x in the equation x - 2/3 + 1/6 = 5/6?<br><br> 1) 4<br> 2) 6<br> 3) 8<br> 4) 11
Licemer1 [7]

Answer:

\large\boxed{x=\dfrac{4}{3}=1\dfrac{1}{3}}

Step-by-step explanation:

x-\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}\qquad\text{multiply both sides by 6}\\\\6x-6\!\!\!\!\diagup^2\cdot\left(\dfrac{2}{3\!\!\!\!\diagup_1}\right)+6\!\!\!\!\diagup^1\cdot\left(\dfrac{1}{6\!\!\!\!\diagup_1}\right)=6\!\!\!\!\diagup^1\cdot\left(\dfrac{5}{6\!\!\!\!\diagup_1}\right)\\\\6x-(2)(2)+1=5\\\\6x-4+1=5\\\\6x-3=5\qquad\text{add 3 to both sides}\\\\6x=8\qquad\text{divide both sides by 6}\\\\x=\dfrac{8}{6}\\\\x=\dfrac{8:2}{6:2}\\\\x=\dfrac{4}{3}

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3 years ago
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Solve for x.<br> 7(1x - 3) = 4(x + 5)
alexandr1967 [171]

Answer:

x = 41/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

7(1x - 3) = 4(x + 5)

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

  1. Simplify:                                        7(x - 3) = 4(x + 5)
  2. Distribute:                                     7x - 21 = 4x + 20
  3. Subtract 4x on both sides:          3x - 21 = 20
  4. Add 21 on both sides:                  3x = 41
  5. Divide 3 on both sides:                x = 41/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    7(1(41/3) - 3) = 4(41/3 + 5)
  2. Multiply:                        7(41/3 - 3) = 4(41/3 + 5)
  3. Subtract/Add:               7(32/3) = 4(56/3)
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Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

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egoroff_w [7]

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Step-by-step explanation:

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Let the required point be P.

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It means, point P divides segment AB in 3:1.

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P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)

Therefore, the required point is \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

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