The 18th month he will have to change both,
I hope this helped!
Answer:
9/4 yards
Step-by-step explanation:
A poster is a rectangle.
Area of rectangle = Length × Width
Given:
Area = 3/4 yd
Length = 1/3 yd
Substitute the given values to the equation.
3/4 = 1/3 × w
3/4 = 1/3w
3/4 ÷ 1/3 = w
3/4 × 3/1 = w
9/4 = w
The solution can be found where two lines intersect. The lines in the image do not intersect at an exact point, so we will need to estimate.
The x value is either 1 or -1 from your choices. You can see it is closer to -1 on the horizontal (x axis).
The y value is either 0 or -1 from your choices. You can see it is closer to 0 on the vertical (y axis).
The answer to your set of lines is approximately (-1,0).
Answer:
x = -1 and y = 18
Step-by-step explanation:
Given the system of equations
y + 8x = 10... 1
2y - 4x = 40 ... 2
From 1; y = 10-8x
Substitute into 2;
2(10-8x) - 4x = 40
20 - 16x - 4x = 40
20 - 20x = 40
-20x = 40 - 20
-20x = 20
x = -1
Recall that y = 10-8x
y = 10 - 8(-1)
y = 10 + 8
y = 18
therefore your answer is x = -1 and y = 18
At any time 
(min), the volume of solution in the tank is
If 
is the amount of salt in the tank at any time , then the solution has a concentration of 
.
The net rate of change of the amount of salt in the solution, 
, is the difference between the amount flowing in and the amount getting pumped out:
Dropping the units and simplifying, we get the linear ODE
Multiplying both sides by 
allows us to identify the left side as a derivative of a product:
Integrate and divide both sides by to get
The tanks starts off with 30 lb of salt, so 
and we can solve for 
to get a particular solution of
