4t+2c=200
2t+7c=400
I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t
Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each
Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each
Hope this helps! :)
Let x and y be the length and width of the rectangle respectively
2(x+y)=32...(1)
x=2y-5...(2)
From (1),we have
2x+2y=32...(3)
By sub.(2) into (3),we have
2(2y-5)+2y=32
4y-10+2y=32
6y=42
y=7
By sub.y=7 into (2),we have
x=2*7-5
x=14-5
x=9
Length =9m
Width =7m
Multiply the 2nd equation by -3 to get -3x-12y = -48.
Answer:
≈ 2,826 cm^3
Step-by-step explanation:
V = πr^2h
V = 3.14 · 10^2 · 9
V = 3.14 · 100 · 9
V = 314 · 9
V = 2,826
