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Fofino [41]
2 years ago
15

Solve 3(x+1)=7(x-2)-3

Mathematics
2 answers:
tia_tia [17]2 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

To solve this, we just have to the multiplication and do the simplification (adding up the similar terms) afterwards:

3(x+1)=7(x-2)-3 becomes...

3x + 3 = 7x - 14 - 3

3x + 3 = 7x -17

Then we move all x's on one side and all plain numbers on the other side, we'll move the x's to the right since there's a bigger value there, and will move the plain numbers on the left side, by subtracting 3x and by adding 17 on both sides

3x + 3 - 3x + 17 = 7x -17 + 17 - 3x

20 = 4x

If we isolate x alone we have:

20/4 = x or x = 5

babymother [125]2 years ago
4 0

Answer:

<h2>x = 5</h2>

Step-by-step explanation:

3(x+1)=7(x-2)-3\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(x)+(3)(1)=(7)(x)+(7)(-2)-3\\\\3x+3=7x-14-3\qquad\text{combine like terms}\\\\3x+3=7x+(-14-3)\\\\3x+3=7x-17\qquad\text{subtract 3 from both sides}\\\\3x+3-3=7x-17-3\\\\3x=7x-20\qquad\text{subtract 7x from both sides}\\\\3x-7x=7x-7x-20\\\\-4x=-20\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-20}{-4}\\\\x=5

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Step-by-step explanation:

Given

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The formula for calculating the quantity after n half lives is given by:

N = N_0(\frac{1}{2})^n

Here

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The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

n = \frac{240}{60}\\n = 4

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Putting the values in the formula

N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg

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62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

  • brainly.com/question/11286417
  • brainly.com/question/12973601

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