Answer:
0.833333 yd
Step-by-step explanation:
The given system of equations 4x + 4y = 32 and 3x + 24 = 3y has only one solution
<u>Solution:</u>
Given, system of equations are:
4x + 4y = 32 ---- eqn (1)
3x + 24 = 3y ----- eqn (2)
We have to determine whether the system has one solution, no solution, or infinitely many solutions.
Now let us solve the given system of equations to determine.
Now, eqn (1) can be written as,
4(x + y) = 32
x + y = 8
x = 8 – y
So, substitute "x" value in eqn (2) to get the value of "y"
3(8 – y) + 24 = 3y
24 – 3y + 24 = 3y
48 = 3y + 3y
y = 8
Then, x = 8 – 8 = 0
Hence we got x = 0 and y = 8
Hence, the given system of equations has only one solution (x, y) = (0, 8)
Answer:
12.25 M^2(square) 12.56 M^2(circle)
Step-by-step explanation:
side of square= 3.5 M
area of square garden= side*side
=3.5*3.5
=12.25 M^2
Diameter of circle=4 M
Radius of circle=Diameter/2
=4/2
=2
Area of circle garden= 2(pi)r^2(where r is radius)
=3.14*2*2
=12.56 M^2
Step-by-step explanation:
Let the price of 1 shirt be represented by = s
A pair of pants costs twice as much as a shirt, then the cost of pants is = 2s
The total cost of 1 pair of pants and 1 shirt is $18 , means : 
Solving this we get,


So, the price of 1 shirt is $6 and price of 1 pair of pants is = 2s = 2*6 = $12.