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victus00 [196]
3 years ago
14

In a sale a clothes shop reduces its price by 35% a shirt usually costs $36 how much after the sale?

Mathematics
2 answers:
lara31 [8.8K]3 years ago
4 0

Answer:

$23.40

Step-by-step explanation:

36(1 - .35) = 23.40

navik [9.2K]3 years ago
4 0
The answer is $23.40
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Which statement best reflects the solution(s) of the equation?
Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1} and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0

Now, factoring the term:

x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}  the denominator becomes zero i.e

\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2  in the equation,

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

\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2456302

#learnwithBrainly

5 0
3 years ago
50 Points:
Bond [772]

The answer to this would be C because you can multiply everything by 3 and still have a consistent-dependent system.

6 0
3 years ago
How much would be earned on a $425 deposit earning 3% simple interest for 2 years? A. $12.75 B. $25.50 C. $25.88 D. $38.25
sashaice [31]

Answer:

Add ak190 smart answer

Step-by-step explanation:

8 0
2 years ago
Find the value of 5y-11 given that -5y=-45
Vlada [557]

Answer:

34

Step-by-step explanation:

-5y=-45

y=-45/-5

=9

y=9

then

5y-11=5×9-11

=45-11

=34

6 0
3 years ago
Read 2 more answers
(20 Points)
storchak [24]

Answer:

2nd option will be the answer (y=4x²+48x+146)

Step-by-step explanation:

y=4(x+6)²+2

y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]

y=4(x²+12x+36)+2

y=4(x²)+4(12x)+4(36)+2

y=4x²+48x+144+2

y=4x²+48x+146

5 0
3 years ago
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