Answer: x = 0
y = 2
z = -1
Step-by-step explanation:
The system of equations are
x+y+z=1 - - - - - - - - - - 1
-2x+4y+6z=2 - - - - - - - - - 2
-x+3y-5z=11 - - - - - - - - - 3
Step 1
We would eliminate x by adding equation 1 to equation 3. It becomes
4y -4z = 12 - - - - - - - - - 4
Step 2
We would multiply equation 1 by 2. It becomes
2x + 2y + 2z = 2 - - - - - - - - - 5
We would add equation 2 and equation 5. It becomes
6y + 8z = 4 - - - - - - - - - 6
Step 3
We would multiply equation 4 by 6 and equation 6 by 4. It becomes
24y - 24z = 72 - - - - - - - - 7
24y + 32z = 16 - - - - - - - - 8
We would subtract equation 8 from equation 7. It becomes
-56z = 56
z = -56/56 = -1
Substituting z = -1 into 7, it becomes
24y - 24×-1 = 72
24y + 24 = 72
24y = 72 - 24 = 48
y = 48/24 = 2
Substituting y = 2 and z = -1 into equation 1, it becomes
x + 2 - 1 = 1
x = 1 - 1 = 0
The profit would you make if sold 23 silk flower arrangements be $21.5.
<h3>What is Unitary method?</h3>
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
spend on materials = 220
Price for each flower =10.50
If 23 flowers are sold price would be,
= 10.50*23
=241.5
Hence, the profit would be = 241.5-220
= $21.5
Learn more about unitary method here:
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Answer:
x = -14
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Answer:
151°
Step-by-step explanation:
Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.
Answer:
a. Scale Perimeter : 2.5 centimeters
Actual Perimeter : 13 centimeters
Actual Area : 10.5 square centimeters
b. Actual Perimeter : 130 mm
Actual Area : 1,050 mm
Step-by-step explanation:
a. 2.5 mm = 0.25 cm
2 (1 + 0.25) = 2.5
2 (3.5 + 3) = 13
3.5 x 3 = 10.5
b. 3.5 cm = 35 mm 3 cm = 30 mm
2 (35 + 30) = 130
35 x 30 = 1050
