Question

1) (x - 5,1) + 18,2= - 7,3 2)6,3 × 1 1\14 - (7,3+3 1\5) : 3,5

Answer 1

1).
(х-5,1)+18,2=-7,3
х-5,1=-7,3-18,2
х-5,1=-25,5
х=-25,5+5,1
х=-20,4
(-20,4-5,1)+18,2=-7,3
2).
6,3·1 1/14-(7,3+3 1/5):3,5=63/10·15/14-(73/10+32/10):35/10=9/2·3/2-21/5·2/7=27/4-6/5=135/20-24/20=111/20=5 11/20

Answer 2

Let's solve the given mathematical expressions step by step:

1. (x - 5,1) + 18,2 = -7,3

It seems there might be some confusion with the commas in the expression. Typically, in mathematics, we use a decimal point to represent fractional numbers, not commas. So, I'll assume you meant:

(x - 5.1) + 18.2 = -7.3

To solve for x, we'll isolate x on one side of the equation:

Step 1: Move the constant term to the other side: (x - 5.1) = -7.3 - 18.2

Step 2: Simplify the right-hand side: (x - 5.1) = -25.5

Step 3: Move -5.1 to the right side by adding 5.1 to both sides: x = -25.5 + 5.1

Step 4: Final calculation: x = -20.4

So, the value of x is -20.4.

2. 6.3 × 1 1/14 - (7.3 + 3 1/5) ÷ 3.5

Let's solve this expression step by step:

Step 1: Convert mixed numbers to improper fractions: 1 1/14 = (14 + 1) / 14 = 15 / 14 3 1/5 = (5 + 1) / 5 = 6 / 5

Step 2: Perform the operations inside the parentheses first: (7.3 + 6 / 5) = 7.3 + 1.2 = 8.5

Step 3: Perform the division: 8.5 ÷ 3.5 ≈ 2.428571429 (rounded to 9 decimal places)

Step 4: Perform the subtraction: 6.3 × (15 / 14) - 2.428571429

Step 5: Convert the result back to a mixed number (if required): 6.3 × (15 / 14) - 2.428571429 ≈ 7.071428571 (rounded to 9 decimal places)

So, the final result is approximately 7.07 (rounded to 2 decimal places).