# algebra 2(check)

1)Choose the correct description of the system of equations:2x+3y=10 and 4x+6y=20. I got consistent/dependent

2)The first equation of the system is multiplied by 2. By what number would you multiply the second equation to eliminate the x variable by adding?
6x-5y=21
4x+7y=15 I got 3

3)The first equation is multiplied by 4.By what number would you multiply the second equation to eliminate the y variable by adding?
2x+5y=16
8x-4y=10 I got 2

4)Find the coordinates of the vertices of the figure formed by the system of inequalities:
x>_-1,y>_-2,and 2x+y<_6
I got (0,0)(3,0)(0,6)

5)Use the systems of inequalities:
x>_2,y-x>_-3,and x+y<_5
Find the coordinates of the vertices of the feasible region.
I got (2,-1)(2,3)(4,1)

6)What is the value of z in the solution of the system of equations?
2x+3y=9
x-2y-z=4
x-3y+2z=-3
I got -2

7)An office building containing 96,000 square ft of spaceis to be made into apartments.There at most 15 one bedroom units,each with 800 square ft of space. The remaining units each with 1200 square ft of space,will have two bedrooms. Rent for each one bedroom is \$650 and the two bedrooms are \$900.How many two bedroom apts should be built to maximize revenue? 70,15,80 or 120? I got 70

8)At a university, 1200 students are enrolled in engineering. There are twice as many in electrical engineering(e)as in mechanical engineering(m),and three times as many in chemical engineering(c)as in mechanical engineering(m). Which system of equations represents the number of students in each program?
a)c+m+e=1200,2m=e,3m=c
b)c+m+e=1200,3m=e,2m=c
c)c+m+e=1200,2e=m,3c=m
d)c+m+e=1200,2m=e,3m=2e I got A

9)How many students are enrolled in the mechanical engineering program?
I got 200

1, 2, 8 and 9 are correct. Your answer to 3 is incorrect. I don't have time to check the others for you right now. For quicker reswponse, it is better to ask fewer questions in a single post.

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