Answer:
4 hours
Step-by-step explanation:
For this, we can set up an equation
We can name the total number of hours x.
So the price for Shawns rentals would be as follows:
27.50x
and Darlas surf shop would be:
23.25x+17
Now, we put these into an equation.
We are trying to find for what number of x will the charges be equal, so we can make this equation:
27.50x=23.25x+17
Now we get the variables on one side, and the numerical values on the other.
We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)
4.25x=17
Divide both sides by 4.25.
x=4
You would rent the equipment for 4 hours to make the charges equal.
Answer:
x = 7
y = 3
z (max) = 4950/3 = 1650
Step-by-step explanation:
Let call
x numbers of church goup and
y numbers of Union Local
Then
First contraint
2*x + 2*y ≤ 20
Second one
1*x + 3*y ≤ 16
Objective Function
z = 150*x + 200*y
Then the system is
z = 150*x + 200*y To maximize
Subject to:
2*x + 2*y ≤ 20
1*x + 3*y ≤ 16
x ≥ 0 y ≥ 0
We will solve by using the Simplex method
z - 150 *x - 200*y = 0
2*x + 2*y + s₁ = 20
1*x + 3*y + 0s₁ + s₂ = 16
First Table
z x y s₁ s₂ Cte
1 -150 -200 0 0 = 0
0 2 2 1 0 = 20
0 1 3 0 1 = 16
First iteration:
Column pivot ( y column ) row pivot (third row) pivot 3
Second table
z x y s₁ s₂ Cte
1 -250/3 0 0 200/3 = 3200/3
0 - 4/3 0 -1 2/3 = -20/3
0 1/3 1 0 1/3 = -20/3
Second iteration:
Column pivot ( x column ) row pivot (second row) pivot -4/3
Third table
z x y s₁ s₂ Cte
1 0 0 750/12 700/6 = 4950/3
0 1 0 3/4 -1/2 = 7
0 0 1 -1/4 1/2 = 9/3
Answer:
Unlikely because there are less blue than any other color.
Step-by-step explanation:
Answer:
The answer is we. Pronouns are I, you, he/she/it, we, you, they.
Answer:
29 × 51 inches
Step-by-step explanation:
If the scale is ...
photo : painting = 1 : 3
then each dimension of the painting is 3 times the corresponding dimension of the photo. The painting is (3×13) by (3×17) inches, or 39 × 51 inches.
