Kyle and Emma pool money to buy packs of trading cards. Bacause Emma contributes more money than Kyle, she keeps 5 cards for every 2 that he keeps. There are 10 cards in each pack and Emma and Kyle want more than 80 cards but less than 130 cards. How many packs should they buy so they have the least number of cards remaining after they share them.? Help Me To Find The Answer Please

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4

you can't solve x because it is 2 linear equation and you only have one equation

1. perpendicular

2. parallel

3. perpendicular