Bobby opened a bag of candy and counted how many pieces were in the bag. There were 68 pieces of orange, lime, and cherry candies in total. He separated them by flavor and found that there were 2 more orange than lime and 4 more cherry than orange. How many cherry candies were in the bag?

Number of limes are 20

Number of oranges are 22

Number of cherries are 26

Step-by-step explanation:

number of pieces of total candies = 68

Let the number of limes is y.

Number of orange = y + 2

Number of cherry = 4 + y + 2

So,

According to the question

y + y + 2 + 4 + 2 + y = 68

3 y + 8 = 68

3y = 60

y = 20

Number of limes are 20

Number of oranges are 22

Number of cherries are 26

hi,

i'm 75% sure the answer is 1,1 to both lines.

have a great day

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}