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kupik [55]
3 years ago
8

A hotel plans to use marble for part of the floor lobby. The marble section of the floor will be in the shape of a triangle with

a base of 80 feet and a height of 60 feet. The marble flooring costs $6 per square foot. How much will the marble for the floor cost?
Mathematics
2 answers:
lidiya [134]3 years ago
8 0
It will cost $14,400 to do the triangle the hotel plans to do.
cricket20 [7]3 years ago
8 0
The area of a triangle is half the base times the height:

A=\dfrac{b\cdot h}{2}

Thus, the area of the marble section is:

A=\dfrac{80 \cdot 60}{2} = 2,400 \text{ square feet}

If every square foot costs $6, the total cost is:

2,400 · 6 = $14,400
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lina2011 [118]
<h3>Answer:</h3>

System

  • p + m = 10
  • 0.8m = 0.4·10

Solution

  • p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

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Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

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  • 0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

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