Quinn, joe, james, and sean sit in the four desks in the last row of desks. each day they sit in a different order. how many days can they do this before they repeat a seating pattern?

  24

Step-by-step explanation:

The number of permutations of 4 items taken 4 at a time is 4! = 24.

They can go 24 days without a repeated pattern.

___

4! = 4×3×2×1 = 24

Any of the four can sit at the first desk; any of the remaining 3 at the next desk; either of the remaining 2 at the next desk. The total number of possibilities is the product of the numbers of possibilities at each desk: 4×3×2×1 = 24.

answer: a. 74

step-by-step explanation:

it shows divided evenly, so add the 37+37 = 74

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