Acollege is currently accepting students that are both in-state and out-of-state. they plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. let x = the number of out-of-state students and y = the number in-state students. write the constraints to represent the incoming students at the college.

The constraints for the incoming students is written as:

x ≥0, y ≥ 0

 x =  3 y

 x  + y  = 100

Step-by-step explanation:

Let x = the number of out-of-state students

and y = the number in-state students.

Now, number of out state students accepted = 3 times ( In state students)

⇒  x =  3 y

Also, total number of students accepted   = 100

So, Number of instate + out state students = 100

⇒  x  + y  = 100

Now,as x and y are the number of students, so x ≥0, y ≥ 0

Hence, the constraints for the incoming students is written as:

x ≥0, y ≥ 0

 x =  3 y

 x  + y  = 100

Givens:

The problem says that the college is planning to accept three times as many in-state students as out-of-state students. This is represented by the equation:

Also, the problem states that they only have space to accept 100 out-of-state students, this means that has to be restricted:

These means that the maximum amount of out-of-state students are 100, this also means that the maximum in-state students are 300, because the college is planning to have three times of these students.

At last, the final restrictions would be , because the number of students cannot be negative, it wouldn't make sense, we cannot say "there are -3 students".

Therefore, all restrictions are:

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.

his chances of getting a coin of higher value is 4/19

step-by-step explanation: