Ateam t-shirt costs $3 per adult and $2 per child. on a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? 75 children and 25 adults equation 1: a + c = 100 equation 2: 3a − 2c = 275 75 children and 25 adults equation 1: a + c = 100 equation 2: 3a + 2c = 275 25 children and 75 adults equation 1: a + c = 100 equation 2: 3a − 2c = 275 25 children and 75 adults equation 1: a + c = 100 equation 2: 3a + 2c = 275

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}

351°f

step-by-step explanation:

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )

the answer is ! ?