Answer:
Step-by-step explanation:
The given differential equation is 
The characteristics equation is given by
Finding the values of r
We got a repeated roots. Hence, the solution of the differential equation is given by
On differentiating, we get
Apply the initial condition y (0)= 3 in equation (i)
Now, apply the initial condition y' (0)= 13 in equation (ii)
Therefore, the solution of the differential equation is
1/8 off each
7/8 of the ticket
7/8 times 12=84/8=10.5
each costs $10.50 after discount
and total would be 273 (juanita+25 people)
Let t, f, and s be the amount of 25%, 40%, and 60% solutions used.
We are told s=3f. The general equation is:
100(0.25t+0.4f+0.6s)/(t+s+f)=45, and using s=3f we have:
(0.25t+0.4f+1.8f)/(t+4f)=0.45
(0.25t+2.2f)/(t+4f)=0.45
0.25t+2.2f=0.45t+1.8f
0.25t+0.4f=0.45t
0.4f=0.2t
t=2f, remembering that s=3f, will allow us to solve for f
t+s+f=60, using t and s from above
2f+3f+f=60
6f=60
f=10 L then
s=3f=30 L and t=2f=20L
So 20L of 25%, 10L of 40%, and 30L of 60% acid solutions need to be mixed to make 60L of 45% acid solution.
Answer:
6) f=45
7) r=57
Step-by-step explanation:
the angles of a triangle will always add up to 180 degrees. Therefore, for the first one the three inside angles have to be 30, 15, and 135. If 135 is the supplementary angle to f, 45 must be the degree of f.
Same idea for the second one. 180-143=37. so 37+86+r=180. solve for r to get 57.
1 multiplied by 0.50 or multiplied by any number between .05 and 0.75
