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Katen [24]
3 years ago
15

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. What is the sum of all three numbers?

Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

47

Step-by-step explanation:

Let a, b, and c be those three numbers.

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. Let

a+b=32\\ \\a+c=39\\ \\b+c=23

Add these three equations:

a+b+a+c+b+c=32+39+23\\ \\2a+2b+2c=94

Divide this equation by 2:

a+b+c=47

The sum of all three numbers is 47.

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LUCKY_DIMON [66]

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3 years ago
How many grams of NH3 are required to produce 4.65 g of HF
nignag [31]

1.326 grams of NH3 are required to produce 4.65 g of HF.

Step-by-step explanation:

Balanced chemical reaction is written first to know the number of moles taking part in original reaction.

NH3 +3 F2 ⇒3 HF  +  NF3

Given:

mass of HF = 4.65

First the number of moles of HF in 4.65 grams is calculated by using the formula:

number of moles (n) = \frac{mass}{atomic mass of 1 mole}

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putting the values in the above equation number of moles can be found.

n = \frac{4.65}{20}

  = 0.235 moles of HF are given.

From the equation it can be said that:

1 mole of NH3 reacts to form 3 moles of HF

so, x moles of NH3 would react to form 0.235 moles of HF

\frac{3}{1} = \frac{0.235}{x}

3x = 0.235

x = \frac{0.235}{3}

x = 0.078 moles of NH3 is required.

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        putting the values in the formula

mass = 17 X 0.078

mass = 1.326 grams

8 0
2 years ago
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