Answer:
x=70
Step-by-step explanation:
We can find the angle with 120 by subtracting 180-120=60
60+50=110
180-110=70
60+50+70=180
Answer:x=-7+1/2
Step-by-step explanation:You move all terms to the left: x-15/2-(2x)=0
then add all the numbers together, and all the variables:-1x-15/2=0
You multiply all the terms by the denominator:-1x*2-15=0
Multiply elements:-2x-15=0
You move all terms containing x to the left, all other terms to the right-2x=15
x=15/-2
x=-7+1/2
Answer:
62 oz
Step-by-step explanation:
Let the volume of water to add be x so that the new volume will be (30+x) oz
The new concentration is now 15%, expressed in decimal as 0.15 and it is found by dividing the initial concentration by new volume
The volume of water to add is equal to 62 oz
The left side is the derivative of :
So we can integrate both sides of
Then integrate again to solve for :
With the given initial conditions, we find
The second equation says is either 1 or -1, but in the latter case, we would get in the first equation, which is undefined over the real numbers, so .
So there are two candidate solutions,
However, the second equation doesn't satisfy the initial value of the derivative, since . So the solution is