Question

(3 11/20+x):0,4=11,2​

Answer 1

(3 11/20+х):0,4=11,2

3 11/20+х=11,2*0,4

3 11/20+х=4,48

х=4,48 - 3 11/20

х=0,93

Answer 2

To solve the equation (3 11/20 + x) : 0.4 = 11.2, we need to isolate the variable x.

Step 1: Convert mixed number to an improper fraction. 3 11/20 = (3 * 20 + 11) / 20 = 71 / 20

Step 2: Rewrite the equation with the improper fraction. (71/20 + x) / 0.4 = 11.2

Step 3: Multiply both sides of the equation by 0.4 to eliminate the fraction on the left side. 0.4 * (71/20 + x) = 11.2

Step 4: Distribute the 0.4 to both terms inside the parentheses. 0.4 * 71/20 + 0.4 * x = 11.2

Step 5: Simplify the left side. (0.4 * 71)/20 + 0.4 * x = 11.2 28.4/20 + 0.4 * x = 11.2

Step 6: Convert 28.4/20 to a decimal. 28.4/20 = 1.42

Step 7: Rewrite the equation with the decimal value. 1.42 + 0.4 * x = 11.2

Step 8: Subtract 1.42 from both sides to isolate the variable x. 0.4 * x = 11.2 - 1.42 0.4 * x = 9.78

Step 9: Divide both sides by 0.4 to solve for x. x = 9.78 / 0.4 x = 24.45

So, the value of x that satisfies the equation is x = 24.45.