What is the reason for each step in the solution of the equation? 2/3x - 1/3 = 2 (x + 2)

x = -4/13

Step-by-step explanation:

Solve 2/3x - 1/3 = 2 (x + 2).

Rewrite this as (2/3)x - 1/3 = 2 (x + 2) to reduce ambiguity.

Eliminate fractions, first by multiplying all terms by 3:

2x - 1  = 6(x + 2).

Perform the indicated multiplication, so as to be able to combine like terms:

2x - 1 = 6x + 12

Combining like terms, -13 = 4x

Solving for x:  x = -4/13

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950