Aparty rental company has chairs and tables for rent. the total cost to rent 3 chairs and 2 tables is $22. the total cost to rent 5 chairs and 6 tables is $60. what is the cost to rent each chair and each table?

The cost to rent each chair and each table are $1.5 and $8.75 respectively

Step-by-step explanation:

Let x represent 1 chair

Let y represent 1 table

Therefore

3x + 2y = 22   (1)

5x + 6y = 60   (2)

Multiply (1) by 5 and (2) by 3

15x + 10y = 110   (3)

15x + 18y = 180  (4)

Subtract (3) from (4)

8y = 70

Divide through by 8

y = $8.75

Substitute y = 8.75 in (1)

3x + 2y = 22

3x + 2(8.75) = 22

3x + 17.5 = 22

Collect like terms

3x = 22 - 17.5

3x = 4.5

Divide through by 3

x =$1.5

e) none of the above because the measure of angle cba is 101°

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}