Solve for x: 2 over 3 equals 8 over quantity x plus 6

x = 40/3

Step-by-step explanation:

2/3 = (8/x) + 6

-6                -6

2/3 - 6 = -16/3

-16/3 = 8/x

*x          *x

(-16/3)x = 8

+16/3     +16/3

x = 40/3

x= 6

Step-by-step explanation:

Given equation  :

To solve the above equation, first we multiply 3(x+6) on both sides , then we get

Using distribution property :

we get

Subtract 12 from both sides , we get

Divide both sides by 2 , we get

Hence, the value of x= 6 .

the circle one

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.