Some help me on math please give the reason

Because since EF=4x-16, FG=3x-6, FG= 27, and EF+FG=EG, then (4x-16)+(3x-6)=27. You then solve the equation to get the answer you got.

452,489 to the nearest thousand is 452,000

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