Hello!
Let's write this as an equation.
74x=66
Now let's solve by dividing both sides by 74.
x≈0.89
Now we multiply by 100 to make it a percent.
0.89(100)= 89
Therefore, our answer is 89%
I hope this helps!
set f(x) equal to y
y = 19/ x^3
swap x and y
x = 19/y^3
make y the subject
xy^3 = 19
y^3 = 19/x
then just replace y with f^-1(x)
hope this helped! have a good day ~ •lipika•
If we assume Sam would achieve his aim of cutting the metal into 8 pieces.
Then he will make 8 cuts. It takes him 5 minutes to make each cut. This is how long it takes to make the cut. This only tells us that he will take a total of 8*5 = 40 minutes, to make all the cuts.
Sam will make 8 cuts as stated in the question.
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:
4/9 in a decimal is 0.44444444