Aschool wants to put on a dance recital. middle school dancers have short programs that run four minutes long. high school performers will dance longer with longer programs seven minutes in length. the entire program cannot have more than ten dances and the entire recital must be over in less than 90 minutes. what pair of inequalities best represents the number of short middle school dances (m) and the number of longer high school dances (h) that can be performed given these limitations?

The pair of inequality are 4M +7H < 90 and   M + H ≤ 10 ,

Step-by-step explanation:

Consider,  the number of short Middle School dances denoted by (M) and the number of longer High School dances denoted by (H)  

We have to find the pair of inequalities BEST represents the number of short Middle School dances and the number of longer High School dances  that can be performed in the given limitations.

1) Middle School dancers have short programs that run four minutes long and the high School performers will dance with longer programs seven minutes in length.

Also given the entire recital must be over in less than 90 minutes.

Mathematically represented as , 4M +7H < 90.

Also, given that the entire program cannot have more than ten dances.

That is total number of middle school dance and high school dance cannot exceed 10

Mathematically represented as ,  M + H ≤ 10.

Thus, the pair of inequality are 4M +7H < 90 and   M + H ≤ 10.

1

step-by-step explanation:

it's the only multiple of both and the least