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2 answers:
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Given:
Remaining milkshake = 45 ml
She used 1 part strawberry cream to 4 parts milk.
To find:
The remaining amount of milk.
Solution:
It is given that, she used 1 part strawberry cream to 4 parts milk. It means the ratio of strawberry cream and milkshake is 1:4.
Let the remaining amount strawberry cream be x and the remaining amount of milk is 4x. Then,
Now, the remaining amount of milk is:
Therefore, the remaining amount of milk is 36 ml.
Answer:
The general solution of the equation is y = + 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 =
3y - 5 =
3y = + 5
dividing through by 3, we have
y = + 5
So, the general solution of the equation is y = + 5