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Anastasy [175]
3 years ago
14

What is x-(9x-10)+11=12x+20-2?

Mathematics
1 answer:
lions [1.4K]3 years ago
7 0
Let's solve your equation step-by-step.<span><span><span>x−<span>(<span><span>9x</span>−10</span>)</span></span>+11</span>=<span><span><span>12x</span>+20</span>−2</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x−<span>(<span><span>9x</span>−10</span>)</span></span>+11</span>=<span><span><span>12x</span>+20</span>−2</span></span><span>Simplify: (Hide steps)</span><span><span><span><span><span>x+</span>−<span>9x</span></span>+10</span>+11</span>=<span><span><span><span>12x</span>+20</span>+</span>−2</span></span><span><span><span>(<span>x+<span>−<span>9x</span></span></span>)</span>+<span>(<span>10+11</span>)</span></span>=<span><span>(<span>12x</span>)</span>+<span>(<span>20+<span>−2</span></span>)</span></span></span>(Combine Like Terms)<span><span><span>−<span>8x</span></span>+21</span>=<span><span>12x</span>+18</span></span><span><span><span>−<span>8x</span></span>+21</span>=<span><span>12x</span>+18</span></span>Step 2: Subtract 12x from both sides.<span><span><span><span>−<span>8x</span></span>+21</span>−<span>12x</span></span>=<span><span><span>12x</span>+18</span>−<span>12x</span></span></span><span><span><span>−<span>20x</span></span>+21</span>=18</span>Step 3: Subtract 21 from both sides.<span><span><span><span>−<span>20x</span></span>+21</span>−21</span>=<span>18−21</span></span><span><span>−<span>20x</span></span>=<span>−3</span></span>Step 4: Divide both sides by -20.<span><span><span>−<span>20x</span></span><span>−20</span></span>=<span><span>−3</span><span>−20</span></span></span><span>x=<span>320</span></span>Answer:<span>x=<span>3<span>20</span></span></span>
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<h2>Half Life</h2>

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

f(t)=a\times(1/2)^{\frac{t}{h}}

  • <em>t</em> = time passed
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<h2>Solving the Question</h2>

We're given:

  • <em>h</em> = 28 million years
  • <em>a</em> = 184 grams (this is the initial mass, after 0 time has passed)

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

<h2>Answer</h2>

84 million years

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