Answer:
Each interior angle of quadrilateral will be less than 180 degrees.
Step-by-step explanation:
A quadrilateral is a geometric shape which has four sides and 4 vertices. The given quadrilateral has 4 vertices and its two dimensional. The quadrilateral has angles less than 180 degrees. All of its angles are less than 180 degrees which are the vertices points on the quadrilateral.
The baker make should make 5 trays of corn muffin and 2 trays of bran muffin to maximize his profit
<h3>How to determine how many trays of each type of muffin should the baker make to maximize his profit?</h3>
The given parameters can be represented in the following tabular form:
Corn Muffin (x) Bran Muffin (y) Total
Milk 8 4 48
Wheat flour 5 5 35
Profit 5 3
From the above table, we have the following:
Objective function:
Max P = 5x + 3y
Subject to:
8x + 4y <= 48
5x + 5y <= 35
x, y > 0
Express the constraints as equations
8x + 4y = 48
5x + 5y = 35
Divide 8x + 4y = 48 by 4 and divide 5x + 5y = 35 by 5
So, we have:
2x + y = 12
x + y = 7
Subtract the equations
2x - x + y - y = 12 - 7
Evaluate
x = 5
Substitute x = 5 in x + y = 7
5 + y = 7
This gives
y = 2
So, we have
x= 5 and y = 2
Hence, the baker make should make 5 trays of corn muffin and 2 trays of bran muffin to maximize his profit
Read more about maximizing profits at:
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Answer:
15
Step-by-step explanation:
(-2,3)-x1,y1
6,r -x2,y2
slope(m)=3/2
m= y2-y1/x2-x1
3/2= r-3/8
r=15
Answer:
17
Step-by-step explanation:
You need to divide:
8 1/2 / 1/2
=17/2 x 2/1
= 17
Opposite operation of multiplication = division.
Simply divide 65 by 5.45