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kondor19780726 [428]
3 years ago
6

Please help me and thank you.

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
8 0

Answer:

482.5\:\mathrm{in^2}

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: 25\cdot 20=500\:\mathrm{in^2}

Area of the triangle: \frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}

Thus, the area of the figure is 500-17.5=\boxed{482.5\:\mathrm{in^2}}

elixir [45]3 years ago
7 0
It’s the last one 482.5
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Answer:

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Distributive Property

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

-24x - 4y = -164

y = 41 - 6x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em> [1st Equation]:                                                                           -24x - 4(41 - 6x) = -164
  2. [Distributive Property] Distribute -4:                                                                -24x - 164 + 24x = -164
  3. [Addition] Combine like terms:                                                                       -164 = -164

Here we see that -164 does indeed equal -164.

∴ We have an infinite amount of solutions.

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In this case there are only two possible outcomes: purchase or not purchase a computer. Therefore, the likelihood that the next customer will purchase a computer is 50% or 0.50.

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