Question

А) 18,36:(4,3+m)+5,1=7,4б) 8 16/27-(x-2 17/27)=8 5/27

Answer 1

18,36:(4,3+m)+5,1=7,4
18,36:(4,3+m)=7,4-5,1
18,36:(4,3+m)=2,3
4,3+m=18,36:2,3
4,3+m=7 113/115
m=7 113/115 - 4.3
m=2 133/230
________________
8 16/27-(x-2 17/27)=8 5/27
x-2 17/27=8 16/27-8 5/27
x-2 17/27=11/27
x=11/27+2 17/27
х=2 28/27
х=3 1/27

Answer 2

Let's solve the equations step-by-step:

А) To solve the equation 18.36:(4.3 + m) + 5.1 = 7.4:

Step 1: Simplify the expression inside the parentheses first. 4.3 + m = 4.3 + m

Step 2: Divide 18.36 by the simplified expression. 18.36 / (4.3 + m) + 5.1 = 7.4

Step 3: Now, we need to isolate the term with the variable (m). Subtract 5.1 from both sides of the equation. 18.36 / (4.3 + m) = 7.4 - 5.1

Step 4: Continue simplifying. 18.36 / (4.3 + m) = 2.3

Step 5: Now, we want to isolate (4.3 + m), so divide both sides by 2.3. (4.3 + m) = 18.36 / 2.3

Step 6: Simplify the right side. (4.3 + m) = 8

Step 7: Finally, isolate the variable m. Subtract 4.3 from both sides of the equation. m = 8 - 4.3

m = 3.7

So, the value of m that satisfies the equation is m = 3.7.

B) To solve the equation 8 16/27 - (x - 2 17/27) = 8 5/27:

Step 1: Convert all mixed numbers into improper fractions. 8 16/27 = (8 * 27 + 16)/27 = 224/27 2 17/27 = (2 * 27 + 17)/27 = 71/27 8 5/27 = (8 * 27 + 5)/27 = 221/27

Step 2: Substitute the converted fractions into the equation. 224/27 - (x - 71/27) = 221/27

Step 3: Remove the parentheses by distributing the negative sign. 224/27 - x + 71/27 = 221/27

Step 4: Combine the fractions on the left side. (224 + 71)/27 - x = 221/27

Step 5: Continue simplifying. 295/27 - x = 221/27

Step 6: Now, we want to isolate the variable x. To do that, subtract 295/27 from both sides. x = 295/27 - 221/27

Step 7: Subtract the fractions on the right side. x = 74/27

So, the value of x that satisfies the equation is x = 74/27.