The only articles of clothing in a certain closet are shirts, dresses, and jackets. the ratio of the number of shirts to the number of dresses to the number of jackets in the closet is 9: 4: 5, respectively. if there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet?

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.