Answer: 
<u>Step-by-step explanation:</u>
y = x + 2 x + y = 3
Solve using Substitution Method by replacing y with x + 2:
x + (x + 2) = 3
2x + 2 = 3
2x = 1
x = 
Next, replace x with 1/2 in one of the original equations and solve for y:
y = x + 2
= + 2
= 
Answer:
$3.4
Step-by-step explanation:
Total amount spent by Mila equals $71.05
She bought 5 yards of fabric at $12.85 per yard. Hence, the total amount she spent on fabric is 12.85 × 5 = $64.25
It should be noted that since she bought only 2 kinds of things, this mean that Amount spent of fabric + Amount spent on thread = $71.05
Amount spent on thread = $71.05 - Amount spent on fabrics.
Amount spent on thread = $71.05 - $64.25 = $6.8
This is the total amount spent on thread.
But the question asks amount spent on one spool of thread. Since 2 spools would cost $6.8, one spool would cost $6.8 ÷ 2 = $3.4
The maximum value of the objective function is 31.787
<h3>How to maximize the function?</h3>
The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
Read more about maximum functions at:
brainly.com/question/14381991
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Answer:
Step-by-step explanation:
Move -7 to the left, so make 7 positive and & move it next to 25
1. 3x = -10x +25+7
combine 25 & 7
2. 3x=-10x+32
move 10 to the side & combine with 3x
3. 3x+10x=+32
4. 13x = 32
lastly divide 32 from 13
<h2>
x= 32/13 OR x= 2 6/13</h2><h2>
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