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jasenka [17]
4 years ago
9

71/2% of what number is 12

Mathematics
1 answer:
gtnhenbr [62]4 years ago
7 0

Well first you must find what 71/2 is equal to:

71 / 2 = 35.5

Now you should convert this to a decimal instead of a percent. All you have to do is move the decimal two places to the left when going from percent to decimal:

35.5% = .355

Now that you know the decimal value, you want to know what number is 12 35.5% of. To do this, think, if you were wondering what is 10% of 100, you would multiply 100 by .10 so in this case since you are going the opposite way, you would divide 12 by .335, which gives you:

35.8208955224

This can be approximated to:

≈35.82

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The answer to your question is   k = -3233

Step-by-step explanation:

Data

x₁, x₂ are the roots

Equation l      x² - 8x + k = 0

Equation ll     3x₁ + 4x₂ = 29

k = ?

Process

1.- Write another equation

                     x₁ + x₂ = - 8

2.- Solve the system of equations by elimination

                      3x₁ + 4x₂ = 29          Equation l

                        x₁ +   x₂ = -8            Equation ll

-Multiply equation ll by -3

                      3x₁  + 4x₂ = 29

                    -3x₁   - 3x₂ = 24

                       0    + x₂ = 53

-Find x₁

                       x₁ + 53 = -8

                       x₁ = -8 - 53

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2.- Find k

                      (x₁)(x₂) = k

                      (53)(-61) = k

                      k = -3233

3 0
3 years ago
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