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tiny-mole [99]
3 years ago
7

How do you do 9/16x = 3/4

Mathematics
2 answers:
musickatia [10]3 years ago
5 0
Make sure you have a common denominator first so it would be
9/16x = 12/16 (you multiply 3/4 by 4/4 to get the bottom to equal 16)
Afterwards, times 16 on each side to get rid of it. Then you get 9x = 12
By dividing 9 on each side to isolate the variable, you would get x = 12/9
Afterwards, simplify it.
x = 4/3
denis-greek [22]3 years ago
5 0
The answers is going to be 4/3
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3 years ago
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sergey [27]

Answer:

w = -1.44 and w = -14.06

Step-by-step explanation:

That "(3) / (4)" in  (w+14)/(4w+6)=(3)/(4) looks fishy.  Assuming that you really meant 3/4, then we have   (w+14)/(4w+6)=3/4.

Mult. both sides by 4 to remove the fraction:  4(w+14)/(4w+6) = 3.

Multiply out (w+14)/(4w+6):  4w^2 + 6w + 56w + 84.  Combine the w terms, obtaining 4w^2 + 62w + 84.  Then the original equation becomes:

4w^2 + 62w + 84 = 3, or  4w^2 + 62w + 81 = 0.

This is a quadratic equation, with a = 4, b = 62 and c = 81.  The two roots (values of

w) are as follows:

        -62 plus or minus √(62^2-4(4)(81)

   ----------------------------------------------------------

                               8

         -62 plus or minus √(2548)           -62 plus or minus 50.48

w = -------------------------------------------   =  ---------------------------------------

                            8                                                  8

Simplifying, we get w = -1.44 and w = -14.06

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