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VladimirAG [237]
3 years ago
7

Multiply and simplify. 2/3 * (1/3 + 3 1/4)=?

Mathematics
2 answers:
kondor19780726 [428]3 years ago
5 0
<span>2/3 </span>×<span> (1/3 + 3 1/4)
= 2/3 (1/3 + 13/4)
= 2/3 (43/12)
= 43/18
= 2 7/18</span>
Vinvika [58]3 years ago
4 0
2/3* (1/3+13/4)

2/3*(\frac{4+39}{12}
2/3*(43/12)
2/3*43/12
86/36 (divide by 2) = 43/18 = 7 1/18
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Solving a system of equations, we will see that there are 6000 kg of coal on the pile.

<h3>How many kilograms of coal are in the pile of coal?</h3>

Let's say that there are N kilograms of coal, and it is planned to burn it totally in D days, these are our variables.

We know that:

  • If the factory burns 1500 kilograms per day, it will finish burning the coal one day ahead of planned.
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Then we can write the system of equations:

(1500)*(D - 1) = N

(1000)*(D + 1) = N

Because N is already isolated in both sides, we can write this as:

(1500)*(D - 1) = N = (1000)*(D + 1)

Then we can solve for D:

(1500)*(D - 1) =  (1000)*(D + 1)

1500*D - 1500 = 1000*D + 1000

500*D = 2500

D = 2500/500 = 5

Now that we know the value of D, we can find N by replacing it in one of the two equations:

(1500)*(D - 1) = N

(1500)*(5 - 1) = N

(1500)*4= N = 6000

This means that there are 6000 kilograms of coal on the pile.

If you want to learn more about systems of equations:

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Step-by-step explanation:

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Given that test statistic = 3.7408

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The test statistic value obtained is the Chisquare (χ²) value, which equals 3.7408

To Obtain the requested Pvalue, we need the degree of freedom, which is :

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Number of candidates = 2

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Using the Chisquare Pvalue calculator or distribution table :

χ²;3.7408, 2 = 0.154062

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