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hoa [83]
3 years ago
13

I need to know what goes each box 28 POINTS :)

Mathematics
2 answers:
nordsb [41]3 years ago
7 0

Answer:

4 in the first box. 5/12 in the other two

pickupchik [31]3 years ago
7 0

Answer:

first box(z ):- 4

2nd box(x) :- 5

3rd box(y) :- 12

Step-by-step explanation:

we can equate the equation on both side of equality and can solve it separately.

\frac{1}{3}  +  \frac{1}{12}  =  \frac{x}{y}

\frac{4 + 1}{12}  =  \frac{x}{y}  \\  \frac{5}{12}  =  \frac{x}{y}

now ,

\frac{z}{12}  +  \frac{1}{12}  =  \frac{x}{y}

\frac{z + 1}{12}  =  \frac{5}{12}

z + 1 = 5 \\  \\ z = 4

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Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

   x (liters of 25% solution)

   y (liters of 50% solution)

 

Our system of equations will consist of two equations:

   Equation #1 (total volume of solution)

   Equation #2 (total concentration of acid)

 

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

   Equation #1:  x + y = 10

 

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

   Equation #2:  (0.25)(x) + (0.50)(y) =

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We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

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         y = 10 - x

 

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

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   0.25x + 5 - 0.50x = 4

   -0.25x = 4 - 5

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          x = (-1)/(-0.25)

          x = 4 (liters of 25% solution)

 

Now we'll plug our value for x into Equation #1 and solve for y:

   4 + y = 10

         y  = 10 - 4

         y = 6 (liters of 50% solution)

 

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

   0.25(4) + (0.50)(6) = 0.40(10)

   1 + 3 = 4

         4 = 4 (our answers are correct)

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Step-by-step explanation:

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Then find the full equation, which gives you the answer:
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