What is the minimum value points of z=30x+40y subject of x+y<=140 x>=45 y>=32 20x+10y>=1500

Answer:

the lat one should be the right answer

Step-by-step explanation:

The equation that can be used to represent the situation will be:

Let the number of nickels be represented by n.

Let the number of dimes be represented by d

Therefore, since Fernando has 22 coins consisting of nickels and dimes in his pocket and the total value of the coins is $1.70.

The equation that can be used to represent the situation will be:

0.05n + 0.10d = 1.70

n + d = 22

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Answer:

$1,422.87

Step-by-step explanation:

Answer: 1422.9

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

Answer:

Vc = (π/3)✓17 ≈ 4.12 ft³

Step-by-step explanation:

h = ✓(4²+1²)

h = ✓17

V = πr²h/3

V = π(1)²✓17/3

V = (π/3)✓17 ≈ 4.12

Answer:

draw the picture then put a box around it and label the body parts and that fun stuff

Answer:true

Step-by-step explanation:

Yes because 6x_____=42 hours

Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05

Answer: Tyrone is body built so you can assume he takes very big steps so i'll say about 69 inches

Step-by-step explanation: The math is common sense

Answer:

14

Step-by-step explanation:

Answer: 20 students

Step-by-step explanation: 20 students who take the bus to school. Therefore thirty students do not take the bus to school.

You did not give is choices to choose from.

|7 + 9| is the same as |-7 - 9|.

|16| is the we same as |-16|.

Answer:

i

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

26/52 simplifies to 1/2

Answer:

Step-by-step explanation:

Rectangle

Complete Question:

Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.

Part A= 12 x ? = ? ft²

Part B= 0.5 x ? x 9 = ?ft²

Part C= 0.5 x 7 x ? = ?ft²

Total Area= ?ft²

Answer:

[tex]A = 108ft^2[/tex]

[tex]B = 27ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

Step-by-step explanation:

Given

See attachment

From the attachment;

Part A is a rectangle with dimension 9ft by 12ft

So,

[tex]A = 12ft * 9ft[/tex]

[tex]A = 108ft^2[/tex]

Part B is a triangle with dimension: height = 6 and base = 9

The height is calculated as:

[tex]Height = 12ft - 6ft = 6ft[/tex]

And the base is:

[tex]Base = 18ft - 9ft = 9ft[/tex]

So, the area is:

[tex]B = 0.5 * 6ft * 9ft[/tex]

[tex]B = 27ft^2[/tex]

Part C is a triangle with dimension: height = 7 and base = 7

So, the area is:

[tex]C = 0.5 * 7 * 7ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

Total Area is:

[tex]Area = A + B + C[/tex]

[tex]Area = 108ft^2 + 27ft^2 + 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

The value of Surface Area of the cylinder is 245.04 cm².

Surface area is the amount of space covering the outside of a three-dimensional shape.

It is given that the cylinder has

radius r = 3 cm

height h = 10 cm

volume V of the cylinder = πr²h = 282.74 cm³

the lateral surface area of a cylinder

L = 2πrh

lateral surface area L = 188.495559 cm²

the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

top surface area T = 28.2743339 cm²

base surface area B = 28.2743339 cm²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

total surface area A = 245.044227 cm²

total surface area A = 78 π cm²

Therefore the value of Surface Area of the cylinder is 245.04 cm².

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Answer:

[tex]Volume = x^3y^4[/tex]

Step-by-step explanation:

Given

[tex]Length = xy^2[/tex]

[tex]Height = y^2[/tex]

[tex]Width = x^2[/tex]

Required

Determine the volume

The volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = xy^2 * x^2 * y^2[/tex]

This gives:

[tex]Volume = x^3y^4[/tex]

Answer:

Step-by-step explanation:

Multiply -6 to the first bracket so it would be

-6+6y-6x This is the answer

Answer:

y = (1/2)x + 2

Step-by-step explanation:

it is a straight line so it will be in the form of y = mx + c

m = gradient, c = y intercept

Reading from graph it cuts the y-axis at 2,

so c = 2

to find gradient we can pick any 2 points on the line,

e.g (0,2) and (10,7)

gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)

= 1/2

so the equation is y = (1/2)x + 2

Using slope intercept formula, the equation of the blue line

y = (1/2)x + 2.

The slope intercept form is one of the form to represent" equation of the straight iine".

According to the question,

The graph intercept the y-axis at 2.

Slope intercept formula, y = mx + c where m = slope of the line, c = y- intercept of the line,  x, y as variable.

From given, y-intercept, c = 2.

To find slope of the line take any two points on the line (0,2) and (10,7).

Formula to find slope of the line m = (y₁ -y₂)/(x₁ - x₂).

m = (2-7)/(0-10)=  [tex]\frac{1}{2}[/tex]

Hence, the equation of the blue line  y = (1/2)x + 2.

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Answer:

The correct option is;

False

Step-by-step explanation:

The equation of the graphs of conic sections (all of which can have axis of symmetry that can be oriented parallel to the y-axis) includes;

Circle; (x - h)² + (y - k)² = r²

Parabola; y = a·(x - h)² + k

[tex]Ellipse; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

[tex]Hyperbola; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y-axis can be either a circle, a parabola, an ellipse, or an hyperbola

Therefore, the graph may not be the graph of a parabola and the statement is false

Answer:

The correct answer is True

Step-by-step explanation:

I took the quiz and got it right.

Answer:

y=120

Step-by-step explanation:

y=0.75x-0.15x

x=200

y=0.75x200-0.15x200

y=150-30

y=120

I hope this helps :D

Answer: 116.67

Step-by-step explanation:

30/100 * x = 35

3/10 * x = 35

3x = 350

x = 116.67