Sanjay solved the equation below. which property did he use to determine that 7x+42=42 is equivalent to 7(x+6)=42 7x+42=42 7x=0 x=0

Step-by-step explanation:

7(x + 6) = 42

distributive property:  a(b + c) = ab + ac

(7)(x) + (7)(6) = 42

7x + 42 = 42

subtraction property of equality  (subtract 42 from both sides)

7x + 42 - 42 = 42 - 42

7x = 0

division property of equality   (divide both sides by 7)

7x : 7 = 0 : 7

x = 0

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