Answer:
40 students were in each bus on the trip.
Step-by-step explanation:
Since 20 students rode in cars, subtract 20 from 340. This results in 320.
There are 8 school busses, so divide 320 student into 8 busses.
This results us in 40 students in each bus.
This is what I found
Step-by-step explanation: To round 36.2 to the nearest tenth consider the hundredths' value of 36.2, which is 0 and equal or more than 5. Therefore, the tenths value of 36.2 increases by 1 to 3.
(a)
we are given
the price of apple suddenly up by $0.75
Let's assume original price be 'p'
we are given
Sam bought 3 pounds of apple at the new price total is $5.88
so, new price = old price +0.75
price of 3 apples 
we are given that price is 5.88
so, we get equation as
.......Answer
(b)
Since, original price is p
so, we have to solve for p
so, original price is $1.21 per pound........Answer
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
