A 21-inch rope is to be cut into two pleces so that one piece is 8 inches longer than twice the other. How long is each piece, if a=2, b= 8, and I=21 smaller plece
in
larger plece

4 1/3 inches   Smaller piece

16 2/3 inches   Larger piece

Step-by-step explanation:

x + (2x + 8) = 21

3x + 8 = 21

3x = 13

x = 13/3

x = 4 1/3 inches   Smaller piece

2x + 8 = 8 2/3 + 8

2x + 8 = 16 2/3 inches   Larger piece

$54.99

step-by-step explanation:

$54.99 includes 500 min. if she does not exceed 500 min then her bill is $54.99

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.