Chris and Ed decide to help each other by doing repairs on each other's houses. Chris is a carpenter and Ed is an electrician. Chris does carpentry work on his house as well as on Ed's house. Similarly, Ed does electrical repairs on his house and on Chris's house. When they are all finished they realize that Chris spent 57% of his time on his own house and 43% of his time on Ed's house, and that Ed spent 52% of his time on his own house and 48% of his time on Chris's house. If they originally agreed that the total of the work should amount to $15000, how much money should each get for their work

Using percentage principle, the amount of money each of Ed and Chris should get for their work is $7533.83 and $7466.17 respectively.

Chris's % time spent :

Ed's % time spent :

Ed's house total = 43% + 52% = 95%

Chris's house total = 57% + 48% = 105%

Since Initial split is equal ;

Chris's Earning :

(0.57/1.05 × 7500) + (0.43/0.95 × 7500) = 7466.17

Ed's Earning :

(0.52/0.95 × 7500) + (0.48/1.05 × 7500) = $7533.83

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Chris gets $7,466.16 for his work.

Ed gets $7,533.83 for his work.

Step-by-step explanation:

Let's first divide the total money for the work equally between both houses.

So there are $7500 worth of work being done on Ed's house, and another $7500 worth of work being on Chris's house.

We will also see how much total time was spent on each house for the work:

Chris's house = Work done by chris + work done by Ed

Chris's house = 57% + 48% = 105%

Ed's house = Work done by Ed + work done by Chris

Ed's house = 52% + 43% = 95%

We should now split the money available for each house between Chris and Ed depending on the amount of work they did. So we will multiply $7500 for each house to the ratio a person worked on them.

This makes Chris's earning to:

Chris's earning = 7500 * (57/105) + 7500 * (43/95) = $ 7,466.16

Ed's earning = 7500 * (48/105) + 7500 * (52/95) = $ 7,533.83

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²