Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. chris is a college student who can work a maximum of 40 hours per week. he needs to make at least $900 in order to cover his expenses. his tutoring job pays $25 per hour and he also makes $15 per hour refereeing soccer matches. find the constraints for this situation and determine which point is a valid solution to the system, where x is the number of hours chris spends tutoring and y is the number of hours he spends refereeing.

Valid solution:   (35,5)

Time constraint:  x+y≤40

Earning constraint:  25x+15y≥900

Step-by-step explanation:

x denote the number of hours Chris spends tutoring.

and y denotes the number of hours he spend referring.

It is given that:

so, the inequality that can be formed using this information is:

                x+y≤40.

( Since he can't work more than 40 hours per week )

Similarly,

He needs to make atleast $ 900 in order to cover his expenses.

So, the inequality is:

                25x+15y≥900

Hence , we plot the graph of these system of inequalities to find the solution.

We see that the point:

(35,5) lies on the boundary line and hence it is a valid solution to the system of inequalities.

whereas the point (32,9) lies out of the feasible region and hence is not a valid solution.

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: