Answer:
9 dollars and 18 cents
Step-by-step explanation:
Answer:
1. 78cm^2
2. 200 ft^2
Step-by-step explanation:
1. i always cut these complex shapes into simpler ones (in this case a rectangle and a triangle)
the rectangles area is 6*8 or 48 and the triangles area is (10*6)/2 or 30 you then add the two areas to get the area for the whole shape 48+30=78
2. once again you're going to break this shape up into the individual rooms and then add them together the garage is a 4*6 room (24) the bedroom is a 8*4 room (32) the living room is a 10*10 room (100) the kitchens a 6*6 room (36) and the bathroom is a 4*2 room (8) you then add all these together
24+32+100+36+8=200
Answer:
1 x=-2.5 y = -5.5
2. x=5 y=1
Step-by-step explanation:
1) What is the solution of the given system?
5x-y=-7
3x-y=-2
Multiply the second equation by -1
-1*(3x-y)=-1(-2)
-3x +y = 2
Now add the first equation to the modified second equation
5x-y=-7
-3x +y = 2
------------------
2x = -5
Divide each side by 2
2x/2 = -5/2
x = -2.5
Now we need to find y
-3x+y =2
-3(-2.5) +y =2
7.5 +y =2
Subtract 7.5 from each side
7.5 -7.5 +y =2-7.5
y = -5.5
2) what is the solution of the given system?
5x+7y=32
8x+6y=46
Divide the second equation by 2
8x/2+6y/2=46/2
4x+3y =23
Multiply the first equation by 4
4 (5x+7y)=32*4
20x+28y = 128
Now multiply the modified 2nd equation by -5
-5(4x+3y )=-5(23
)
-20x -15y = -115
Lets add the new equations together to eliminate x
20x+28y = 128
-20x -15y = -115
---------------------
13y = 13
Divide each side by 13
13y/13 =13/13
y=1
Now substitute back in to find x
5x+7y=32
5x +7(1) =32
5x +7 =32
Subtract 7 from each side
5x+7-7 =32-7
5x =25
Divide by 5
5x/5 =25/5
x=5
