The product of 3 and a number is the same as 24 less thrice that same number

there is no such number

Step-by-step explanation:

our "number" will be represented by variable x

3x = 3x-24

isolating x

0x = -24

0 = -24

since this statement is false for all x, there is no such number x

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