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adelina 88 [10]
2 years ago
7

What is the quotient of 5472 and 81?

Mathematics
1 answer:
Akimi4 [234]2 years ago
5 0

Answer:

67

Step-by-step explanation:

Division:-

\sf\Large\qquad\quad67\\ \begin{array}{cc} \cline{2 - 2}\sf 81 )&\sf \ 5472\\&\sf -487 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 602\\ &\sf \ - 567 \\ \cline{2-2} & \sf \ \035 \\ \cline{2-2} \end{array}\\\\\\ Divisor \rightarrow 81 \\ \\ Quotient \rightarrow 67\\\\Remainder \rightarrow 35

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3 years ago
1.Solve the equation. Check for extraneous solutions.
elena55 [62]
Okay so I did the math. 

1. Two solutions were found :<span><span> 
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</span></span><span>Step  1  :</span>Rearrange this Absolute Value Equation

Absolute value equalitiy entered
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<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |2z-3|

 </span>For the Negative case we'll use -(2z-3) 

For the Positive case we'll use (2z-3) 

<span>Step  3  :</span>Solve the Negative Case

      -(2z-3) = 4z-1 

     Multiply
      -2z+3 = 4z-1 

     Rearrange and Add up
      -6z = -4 

     Divide both sides by 6 
      -z = -(2/3) 

     Multiply both sides by (-1) 
      z = (2/3) 
     Which is the solution for the Negative Case

<span>Step  4  :</span>Solve the Positive Case

      (2z-3) = 4z-1 

     Rearrange and Add up
      -2z = 2 

     Divide both sides by 2 
      -z = 1 

     Multiply both sides by (-1) 
      z = -1 
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

<span> z=2/3
</span><span> z=-1

2. </span>-6 < x < 26/3

<span>Step  1  :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
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Another term is moved / added to the right hand side.

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<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

 </span>For the Negative case we'll use -(3x-4) 

For the Positive case we'll use (3x-4) 

<span>Step  3  :</span>Solve the Negative Case

      -(3x-4) < 22 

     Multiply
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     Rearrange and Add up
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     Divide both sides by 3 
      -x < 6 

     Multiply both sides by (-1) 
     Remember to flip the inequality sign 
      x > -6 
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<span>Step  4  :</span>Solve the Positive Case

      (3x-4) < 22 

     Rearrange and Add up
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     Divide both sides by 3 
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     Which is the solution for the Positive Case

<span>Step  5  :</span>Wrap up the solution

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Solution in Interval Notation

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HOPE THIS HELPS :D
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3 years ago
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