5. there were some blue marbles and white marbles in a bag.
if 70 blue marbles were to be removed from the bag, the ratio of the number of blue marbles to the number of white marbles would be 3: 4. if 112 white marbles were to be removed from the bag instead, the ratio of the number of blue marbles to the number of white marbles would be 8: 7. when 48 more blue marbles were to be added into the bag, what percentage of all marbles would be blue marbles?
no algertba pls

that depends if their were an equal number of blue and white marbles in the beginning

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}

only 10/60 isn't equivalent

hope this : )