What is the answer show all work 10.77 + 8.9

A rectangular storage container with an open top is to have a volume of 10 m3. the length of this base is twice the width. mater

BartSMP [9]

Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

7 0

3 years ago

A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making

Archy [21]

Answer:

The equation to find the profit made by business combined is $x+4x = 10$ .

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by business A be 'x'.

Let the profit (in millions) made by business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

$y =4x$

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.

framing in equation form we get;

$x+y =10\ million$

Substituting the value of y in above equation we get;

$x+4x = 10$

Hence The equation to find the profit made by business combined is $x+4x = 10$ .

On Solving above equation we get;

$5x =10\\\\x =\frac{10}{5} = \$2 \ million$

profit (in millions) made by business A = $\$2 \ million$

profit (in millions) made by business B = $4x =4\times 2 =\$8 \ million$

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0

3 years ago

Greg purchases 1/2 dozens cupcakes for 5.88. Explain how you can determine the unit cost of the cupcakes.

Reika [66]

Answer: $0.98

Step-by-step explanation:

1/2 dozen is equal to 6 cupcakes

Divide 5.88 by 6 to get 0.98

This is the price for 1 cupcake, which is also the unit price.

7 0

3 years ago

One hundred fifty is what percent of 200?

Alona [7]

$Method\ 1:\\\\\dfrac{150}{200}\cdot100\%=\dfrac{15}{20}\cdot100\%=15\cdot5\%=75\%\\\\Method\ 2:\\\\200\ -\ 100\%\\150\ -\ p\%\\\\cross\ multiply\\\\200\cdot p=150\cdot100\\200p=15,000\ \ \ |divide\ both\ sides\ by\ 200\\\boxed{p=75\ (\%)}$

8 0

3 years ago

Siri is grocery shopping. She is buying macaroni. One box is 6 inches long, 1 inch wide and 9

sashaice [31]

Answer:

The second box

Step-by-step explanation:

The volume of a pyramid can be given by the formula: V=31Ah. Where. A: Area of the V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Therefore, If it is wider it has more space to carry more items such as macaroni.

I hope this helps! (:

4 0

3 years ago

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