Answer:
Step-by-step explanation:
2) ∠A + ∠B = 146 {Exterior angle theorem}
5y + 3 + 4y + 8 = 146
5y + 4y + 3 + 8 = 146 {combine like terms}
9y + 11 = 146
9y = 146 -11
9y = 135
y = 135/9
y = 15
3) m∠A = 5y + 3
= 5*15 + 3
= 75 + 3
∠A = 78
4) m∠B = 4y + 8
= 4*15 + 8
= 60 + 8
m∠B = 68
5) m∠ACB + m∠A + m∠B = 180 {Angle sum property of triangle}
m∠ACB + 78 + 68 = 180
m∠ACB + 146 = 180
m∠ACB = 180 - 146
m∠ACB = 34
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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3/10 + 17/100
first make the 10 of the 3/10 turn into a 100 so it will make the 100 of the 17/100.
to make 10 turn into a 100 you multiply it by 10. if you're going to multiply the bottom number by 10 then you have to do the same thing with the top number:
3/10 * 10/10
3*10=30
10*10=100
new equation:
30/100 + 17/100
now just add the top numbers and leave the 100's alone:
<span>30/100 + 17/100
</span>30+17=47
<span>30/100 + 17/100 = 47/100</span>
Answer:
The equation of the side of triangle QRS that is parallel to segment UV is:
y = x + 9
Step-by-step explanation:
I attached a pic with the procedure to find the answer. Hope it helps, good luck!