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777dan777 [17]
3 years ago
5

Solve these system of linear equations:

Mathematics
1 answer:
frutty [35]3 years ago
5 0
1.solve for y
 2x+4y=12      
<u>  </u><span><u> -2x       -2x</u>
</span><u>4y</u>=<u>12-2x</u>
<u>4       4</u>
y=3-1/2x

step2 plug in y and solve for x
2x+8y=24
2x+8(3-1/2x)= 24
2x+24-4x=24
<u>-2x</u>=<u>0
</u><u>-2    -2</u>
 x=0
last step plug in x and solve for y

y=3-1/2x(0)
y=3

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muminat

Answer: A) 20.9 ; B) 34years

Step-by-step explanation:

Given the following :

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

A)

MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY

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B)

WHEN A NEW PLAYER WAS ADDED :

MEAN (X) = 22

Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

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264 = 230 + y

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4 0
3 years ago
Read 2 more answers
2/7x = 10 show work plz
Rashid [163]

Answer:

x = 35

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2/7*x-(10)=0

                 2

Simplify   —

                  7

  2        

 (— • x) -  10  = 0

  7        

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

             10             10 • 7

   10 =  ——  =  ——————

               1                 7  

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:

           2x - (10 • 7)                       2x - 70

—————————————  =  ———————

                     7                                   7  

Pull out like factors :

  2x - 70  =   2 • (x - 35)

         2 • (x - 35)

 ————————————  = 0

                 7      

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:

      2•(x-35)

 ———————— • 7 = 0 • 7

          7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (x-35)  = 0

Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-35 = 0

Add  35  to both sides of the equation :

                     x = 35

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