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Allushta [10]
3 years ago
7

2x+4-(1000+4x)+50=9x+40+2-3+2x

Mathematics
1 answer:
boyakko [2]3 years ago
6 0
<span>
Simplifying 2x + 4 + -1(1000 + 4x) + 50 = 9x + 40 + 2 + -3 + 2x 2x + 4 + (1000 * -1 + 4x * -1) + 50 = 9x + 40 + 2 + -3 + 2x 2x + 4 + (-1000 + -4x) + 50 = 9x + 40 + 2 + -3 + 2x
 Reorder the terms: 4 + -1000 + 50 + 2x + -4x = 9x + 40 + 2 + -3 + 2x
 Combine like terms: 4 + -1000 = -996 -996 + 50 + 2x + -4x = 9x + 40 + 2 + -3 + 2x
 Combine like terms: -996 + 50 = -946 -946 + 2x + -4x = 9x + 40 + 2 + -3 + 2x
 Combine like terms: 2x + -4x = -2x -946 + -2x = 9x + 40 + 2 + -3 + 2x Reorder the terms: -946 + -2x = 40 + 2 + -3 + 9x + 2x
 Combine like terms: 40 + 2 = 42 -946 + -2x = 42 + -3 + 9x + 2x
 Combine like terms: 42 + -3 = 39 -946 + -2x = 39 + 9x + 2x Combine like terms: 9x + 2x = 11x -946 + -2x = 39 + 11x Solving -946 + -2x = 39 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right.
 Add '-11x' to each side of the equation. -946 + -2x + -11x = 39 + 11x + -11x
 Combine like terms: -2x + -11x = -13x -946 + -13x = 39 + 11x + -11x
 Combine like terms: 11x + -11x = 0 -946 + -13x = 39 + 0 -946 + -13x = 39
  Add '946' to each side of the equation. -946 + 946 + -13x = 39 + 946
 Combine like terms: -946 + 946 = 0 0 + -13x = 39 + 946 -13x = 39 + 946
 Combine like terms: 39 + 946 = 985 -13x = 985
 Divide each side by '-13'. x = -75.76923077
 Simplifying x = -75.76923077
Please dont get mad if I am incorrect! :)
I hope this helps! Have a great day!</span>
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The pillars and the pyramids in the stadium gate means that we have to calculate the area of the items that make up the gate one after the other. At the end of the calculation, the calculated areas are then added up.

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First, we calculate the area of 1 side of 1 pillar using:

A = Height * Base

Where

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Base = 3ft --- Base of the pillar

So:

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The area of the 4 sides of the pillar is:

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A_2 = 120ft^2

The area of the 2 pillars is:

Area_1 = 2 * A_2 --- i.e. 2 multiplied by the area if 1

Area_1 = 2 * 120ft^2

Area_1 = 240ft^2

Because one part of the pyramid won't be visible, we calculate the area of the pyramid using:

Area = lw + l\sqrt{(w/2)^2 + h^2} + w\sqrt{(l/2)^2 + h^2}

Where:

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So, we have:

Area = 3\sqrt{(2/2)^2 + 2^2} + 3\sqrt{(2/2)^2 + 2^2}

Area = 3\sqrt{1 + 4} + 3\sqrt{1 + 4}

Area = 3\sqrt{5} + 3\sqrt{5}

Area = 6\sqrt{5}

For the two pyramids, the area is:

Area_2 = 2 * 6\sqrt 5 -- 2 multiplied by area of 1

Area_2 = 12\sqrt 5

Area_2 = 26.8

So, the total area to be painted is:

Total = Area_1 + Area_2 --- the sum of the area of the pillars and the pyramids

Total = 240+26.8

Total = 266.8ft^2

The unit cost of paint is:

Rate = Rs80 per sq.ft

The total cost of painting is:

Cost = 80 * 266.8

Cost = Rs.21344

Read more at:

brainly.com/question/14320476

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