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Natasha_Volkova [10]
2 years ago
15

Please help me solve this

Mathematics
1 answer:
Reptile [31]2 years ago
8 0

Answer:

   x = 2/5 = 0.400

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           4

Equation at the end of step  1  :

  5         1

 (— • x) -  —  = 0  

  8         4

Step  2  :

           5

Simplify   —

           8

Equation at the end of step  2  :

  5         1

 (— • x) -  —  = 0  

  8         4

Step  3  :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       8  

     The right denominator is :       4  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 3 2 3

Product of all  

Prime Factors  8 4 8

     Least Common Multiple:

     8  

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      5x

  ——————————————————  =   ——

        L.C.M             8  

  R. Mult. • R. Num.      2

  ——————————————————  =   —

        L.C.M             8

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x - (2)     5x - 2

————————  =  ——————

   8           8    

Equation at the end of step  3  :

 5x - 2

 ——————  = 0  

   8    

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 5x-2

 ———— • 8 = 0 • 8

  8  

Now, on the left hand side, the  8  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  5x-2  = 0

Solving a Single Variable Equation :

4.2      Solve  :    5x-2 = 0  

Add  2  to both sides of the equation :  

                     5x = 2

Divide both sides of the equation by 5:

                    x = 2/5 = 0.400

One solution was found :

                  x = 2/5 = 0.400

You might be interested in
Which expression is equivalent to the area of square A, in square inches?
Setler [38]

Answer:

length of 1 side of A, using the Pyth. Thm. and the dimensions of the other two squares: (side of A)^2 = (10 in)^2 + (24 in)^2. Then:

(side of A)^2 = 100+ 576 in^2 = 676 in^2.

Here I have not bothered to solve for the length of the side of A, since we want the area of square A. But if you do want the side length, find it: sqrt(676) = 26 in. Then the area of A is (26 in)^2 = 676 in^2.

Then the area of square A is (26 in)^2 =

Read more on Brainly.com - brainly.com/question/10676137#readmore

Step-by-step explanation:

8 0
3 years ago
Anthony wants to make two different rectangular flowerbeds ,each with an area of 24 square feet .he will build a wooden frame ar
nignag [31]
One of them is 3,8,3,8 and the other is 4,6,4,6
3 0
3 years ago
Read 2 more answers
Can someone please help me? I don't understand how to solve this.
Scilla [17]

Answer:

  (5, 15)

Step-by-step explanation:

The problem statement tells you how to solve it. You are expected to know what the midpoint formula is.

You are given that (x, y) is the unknown end point. If (Mx, My) is the midpoint, and (x1, y1) is one end point, the midpoint formula tells you ...

  Mx = (x1 +x)/2

  My = (y1 +y)/2

__

Solving these equations for x and y, you get ...

  2Mx = x1 +x

  x = 2Mx -x1

Similarly, ...

  2My = y1 +y

  y = 2My -y1

__

Filling in the given coordinates, this becomes ...

  x = 2(-2) -(-9) = -4 +9 = 5

  y = 2(7) -(-1) = 14 +1 = 15

The other endpoint is (5, 15).

_____

<em>Additional comment</em>

I like to write the midpoint formula for points A and B as ...

  M = (A +B)/2

where A and B each represent an ordered pair (or triple, in 3 dimensions). The arithmetic is done element-by-element on the ordered pairs, so this formula is equivalent to the one above.

If you solve it for B, you get ...

  B = 2M - A . . . . the other endpoint given the midpoint and one endpoint

This might be a formula you want to add to your list of useful formulas in Algebra.

3 0
2 years ago
This is Anya's solution for the equation x ^ 2 - 6x - 7 = 0 Is her solution correct ? Explain your answer in detail points ANSWE
tia_tia [17]

Answer:

Anya is incorrect.

Step-by-step explanation:

=)

The correct answer is x = −1 or x = 7

=)

5 0
2 years ago
Read 2 more answers
-1/2y=1/2x+5 and y=2x+2
Anettt [7]

I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y.  Please tell me if it's really -1/(2y).

(-1/2)y=(1/2)x+5

Multiplying both sides by -2

y = - x - 10

The other equation is

y = 2x + 2

We can equate them to find the meet

y = - x - 10 = 2x + 2

-3x = 12

x = -4

y = 2x + 2 = -6

Check:  (-1/2)y=3, (1/2)x+5=3, equal, good

2x+2=2(-4)+2=-6=y, good

Answer: x=-4, y=-6

6 0
2 years ago
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