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marysya [2.9K]
2 years ago
5

Solve the proportion

Mathematics
1 answer:
Vinvika [58]2 years ago
3 0

Answer:

1.  (3/2)

2. (20)

3. (3)

4. (-9/5)

5. (-8/7)

6. (-2/3), (4)

Step-by-step explanation:

1.                          2.                        3.                          4.

x         3                   12         3               x           1                x + 3        3

/    =    /                     /     =    /                /    =      /                   /     =     /

4         8                   x           5              9           x                   2           5

8x = 12                    60 = 3x                  x² = 9                      5x + 15 = 6

÷8    ÷8                   ÷3    ÷3                   x = √9                          -15     -15

                                                                                                5x = -9

x = (3/2)                   x = 20                  x = 3                           ÷5    ÷5

                                                                                                  x = (-9/5)

5.                             6.

4 - x          3                   1               x - 3

  /       =     /                   /        =        /

 12            7              2x + 1               9

28 - 7x = 36                   9 = 2x^2 - 5x - 3

-28         -28                 + 3                    + 3

                                     12 = 2x^2 - 5x

-7x = 8                          -12                   -12

÷-7   ÷-7

                                       2x^2 - 5x - 12 = 0

x = (-8/7)                      

                                       -b +-√b^2 - 4ac

                                                     /                = -(-5)√-5^2 - 4 (2)(-12)

                                                    2a                                /

                                                                                      2(2)

                                             

                                          = 5-+√121        5 - 11        -6

                                                 /         =        /       =    /       = (-2/3)

                                                -4                 4             4

                                                            =     5 + 11          16

                                                                       /      =       /    = (4)

                                                                      4              4

I hope this helps!

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Solution: We are given below data:

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Now to find the mean deviation, we use the below formula:

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