Multiply, then you get 2a - 10 = -2. Then isolate the variable by adding 10 on both sides. you get 2a = 8. divide both by 2 and you get a = 4
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
I hope this helps you
x^2-5x+6
x -3
x -2
(x-3)(x-2)
X<y
y is 1 more than 2 times the smaler
y=1+2 times x
y=1+2x
3 times y is bigger than 5 times x by 10
3y=5x+10
subsitute
y=1+2x
3(1+2x)=5x+10
3+6x=5x+10
subtract 3 from both sides
6x=5x+7
subtract 5x from both sides
x=7
subsitute
y=1+2x
y=1+2(7)
y=1+14
y=15
x=7
y=15
