Question

1,74/14n+2 = 4,11/14n+81

Answer 1

1,74/(14n+2) = 4,11/(14n+81) -это пропорция
1,74 * (14n + 81) = 4,11 * (14n + 2) - свойство пропорции
24,36n + 140,94 = 57,54n + 8,22
24,36n - 57,54n = 8,22 - 140,94
- 33,18n = - 132,72
n = - 132,72 : (-33,18)
n = 4
Проверка: 1,74 : (14 * 4 + 2) = 4,11 : (14 * 4 + 81)
                  1,74 : 58 = 4,11 : 137
                   0,03 = 0,03

Answer 2

It looks like you have an equation involving the variable "n". The equation is:

(1.74)/(14n + 2) = (4.11)/(14n + 81)

To solve for "n," you can follow these steps:

Step 1: Clear the denominators by multiplying both sides of the equation by the common denominator, which is (14n + 2)(14n + 81). This step will eliminate the fractions.

(14n + 2)(14n + 81) * (1.74)/(14n + 2) = (14n + 2)(14n + 81) * (4.11)/(14n + 81)

Notice that the term (14n + 2) cancels out in the left fraction, and the term (14n + 81) cancels out in the right fraction.

1.74 = 4.11(14n + 2)

Step 2: Distribute the 4.11 on the right side of the equation.

1.74 = 57.54n + 8.22

Step 3: Subtract 8.22 from both sides of the equation.

1.74 - 8.22 = 57.54n

-6.48 = 57.54n

Step 4: Divide both sides by 57.54 to solve for "n."

n = -6.48 / 57.54

n ≈ -0.1127

So, the approximate solution for the equation is n ≈ -0.1127.