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6 balloons

Step-by-step explanation:

Clowns Are Fun equation is

y = 1.25x + 6  (1.25 per balloon plus the flat rate $6 delivery charge)

Singing Balloons equation

y = 1.95x + 2  (1.95 per balloon plus the flat rate $2 delivery charge)

We want to know know the value of x that makes Clowns are Fun less that Singing Balloons, so we have the inequality..

1.25x + 6 < 1.95x + 2      now solve for x

4 < 0.7x                

  5.7 < x          We can't have 0.7 of a balloon, so we round to 6.  

So when she orders 6 or more balloons, the cost of Clowns Are Fun will be cheaper that the cost of Singing Balloons

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

3

step-by-step explanation: