Hey there! :)
Answer:
C) 74 units.
Step-by-step explanation:
MT is congruent to KT because the diagonals of a quadrilateral bisect each other. Therefore:
8y + 18 = 12y - 10
Subtract 8y from both sides:
18 = 4y - 10
Add 10 to both sides:
28 = 4y
Divide both sides by 4:
28/4 = 4y/4
y = 7 units. Plug this into the equation for MT:
8(7) + 18 = 74 units.
The answer for the picture would be 21
1.19 - 19%
Answer:
z(max) = 5000
x = 100
y = 0
Step-by-step explanation:
Let call
x floral arrangements and
y fruit baskets
Then Objective function is according to profits in each gift
z = 50*x + 35*y
Constraints:
1.- Hours available in Assembly department 40 in minutes is 2400 minutes
20*x + 15*y ≤ 2400
2.- Hours available in packaging department 10 in minutes is 600
6*x + 2*y ≤ 600
3.- x and y must be x ≥ 0 y ≥ 0
Then the system is:
z - 50*x - 50*y = 0 To maximize subject to:
20*x + 15*y ≤ 2400
6*x + 2*y ≤ 600
x ≥ 0 y ≥ 0
Simplex Method:
z x y s₁ s₂ Cte
1 -50 -35 0 0 = 0
0 20 15 1 0 = 2400
0 <u>6</u> 2 0 1 = 600
First iteration: <u>6</u> is a pivot we dvede R3 by 6
z x y s₁ s₂ Cte
1 0 15 0 50/6 = 5000
0 0 -50/6 -1 20/6 = -400
0 20 15 1 0 = 2400
0 1 2/6 0 1/6 = 100
We have done no negative number in the objective function we stop iteration and
z(max) = 5000
x = 100
y = 0
<u></u>
to add to R1 50*R3 [ 0 50 100/6 0 50/6 5000
to add to R2 20*R3 [ 0 20 40/6 0 20/6 2000
You use the Pythagorean theorem.
(1)^2 + (x)^2 = (3)^2
1 + x^2 = 9
x^2 = 9-1
x^2 = 8
Square root of x^2 = square root of 8
x = Square root of 8
Answer:
The total cost for Graham's employer contribution is $6217.5.
Step-by-step explanation: