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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

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.