ANSWER
The solution is
(x,y)=(1,-5)
EXPLANATION
The equations are:
1st equation: 6x +5y=-19
2nd equation: 12x-8y=52
Multiply the first equation by 2:
3rd equation: 12x +10y=-38
Subtracy the 2nd equation from the 3rd equations.
12x-12x+10y--8y=-38-52
18y=-90
Divide both sides by 18.
y=-5
Put y=-5 into any of the equations and solve for x.
Preferably, the first equation will do.
6x +5(-5)=-19
6x -25=-19
6x=25-19
6x=6
x=1
The solution is
(x,y)=(1,-5)
The height of the container be so as to minimize cost will be 1.20. inches.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= 2x × 3x × h
= 6x²h
Volume = 6x²h
12 = 6x²h
h = 2x²
The cost function will be:
C = 2.60(2)(6x²) + 4.30(12x)h
C = 31.2x² + 51.6xh
Taking the derivative
62.4x + 51.6h
h = 1.20
Therefore, the height of the container be so as to minimize cost will be 1.20 inches.
Learn more about height on:
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Answer:
3060 cm^2
Step-by-step explanation:
First, let's find the areas of the trapezoids.
Next, let's find the area of the bases (the top rectangle and bottom rectangle).
- Top: 6 × 30 = 180
- Bottom: 34 × 30 = 1020
- 1020 + 180 = 1200.
After that, we find the surface area of the side rectangles.
- 17 × 30 = 510
- 25 × 30 = 750
- 510 + 750 = 1260.
Lastly, we add 1260, 1200, and 300 together.
Therefore, the surface area should be 3060 cm^2.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
The equation to determine the normal price of each cookie is
7(x - 0.75) = 2.80
The normal price of each cookie = $1.15
Step-by-step explanation:
Let us represent the normal price of a cookie as : x
We are told that:
Today each cookie costs \$0.75less than the normal price.
The price of a cookie today is
x - 0.75
Right now if you buy 7 of them it will only cost you \$2.80$
Hence:
7(x - 0.75) = 2.80
Solving for x
7x - 5.25 = 2.80
7x = 2.80 + 5.25
7x = 8.05
x = 8.05/7
x = $1.15
The normal price of each cookie = $1.15
Answer:
Step-by-step explanation:
(8388608+4)<em>3 </em>- (144)
8388612*8388612*8388612=
5.9029665478404E+20-144=5.90296655E20
