Answer:
12th day
Step-by-step explanation:
We are given that George and Maria decided to create a garden in their backyard.
George works on the garden every third day and Maria works on the garden every fourth day.
We have to find that if they worked on the garden today ,the number until they would be work on the same day again
In order to find that day they would be work together we are finding lcm
We have to find the lcm of 3 and 4
Lcm ==12
Hence, lcm of 3 and 4=12
Therefore, George and Maria work together on the 12th day again.
(a) The differential equation is separable, so we separate the variables and integrate:
When x = 0, we have y = 2, so we solve for the constant C :
Then the particular solution to the DE is
We can go on to solve explicitly for y in terms of x :
(b) The curves y = x² and y = 2x - x² intersect for
and the bounded region is the set
The area of this region is
Answer:
Let t be the number of toys.
Since, the toy drive already has collected 300 toys
⇒ t+ 300
Also, it is given that the goal of a toy drive is to donate more than 1000 toys.
We get an inequality:
⇒
Solve an inequality:
Subtract 300 from both sides we get
Simplify:
t > 700
Therefore, more than 700 toys does the toy drive need to meet its goal.
An inequality is; ; t > 700