Question

1)(x+5,6):15 2/3=3,2:5 2/9 2)y-8:11 4/7=8/27:5 1/3 Решите плиз)!

Answer 1

$1) (x + 5,6) : 15 \frac{2}{3} = 3,2 : 5 \frac{2}{9}$

$(x + 5,6) : 15 \frac{2}{3} = 3 \frac{1}{5} : 5 \frac {2}{9}$

$(x+5,6) : 15 \frac{2}{3} = \frac{16*9}{5*47}$

$x+5,6 = \frac{16*9}{5*47} * 15 \frac{2}{3}$

$x+5,6 = \frac{16*9*47}{5*47*3}$

$x + 5,6 = \frac{16*3}{5}$

$x + 5,6 = \frac{48}{5}$

$x + 5,6 = 9,6$

$x = 9,6 - 5,6$

$x = 4$

Answer 2

1) To solve the equation (x+5.6)/15 + 2/3 = 3.2/5 + 2/9, we can follow these steps:

Step 1: Simplify both sides of the equation by finding a common denominator for the fractions involved. In this case, the common denominator is 45.

(x+5.6)/15 + (2/3) = (3.2/5) + (2/9)

To get a common denominator of 45, we can multiply the first fraction by 3/3 and the second fraction by 15/15:

[(x+5.6)(3/3)]/45 + (2/3)(15/15) = (3.2/5)(9/9) + (2/9)(5/5)

Simplifying further:

(3x + 16.8)/45 + 30/45 = 28.8/45 + 10/45

Step 2: Combine like terms on both sides of the equation:

(3x + 16.8 + 30)/45 = (28.8 + 10)/45

(3x + 46.8)/45 = 38.8/45

Step 3: Cross-multiply and solve for x:

38.8(45) = (3x + 46.8)(45)

1746 = 3x + 46.8

3x = 1746 - 46.8

3x = 1699.2

x = 1699.2/3

x ≈ 566.4

Therefore, the solution to the equation (x+5.6)/15 + 2/3 = 3.2/5 + 2/9 is x ≈ 566.4.

2) To solve the equation (y-8)/11 + 4/7 = (8/27)/5 + 1/3, we can follow these steps:

Step 1: Simplify both sides of the equation by finding a common denominator for the fractions involved. In this case, the common denominator is 189.

(y-8)/11 + 4/7 = (8/27)/5 + 1/3

To get a common denominator of 189, we can multiply the first fraction by 7/7 and the second fraction by 27/27:

[(y-8)(7/7)]/77 + (4/7)(27/27) = (8/27)(5/5) + (1/3)(63/63)

Simplifying further:

(7y - 56)/77 + 108/189 = 40/135 + 63/189

Step 2: Combine like terms on both sides of the equation:

(7y - 56 + 108)/77 = (40 + 63)/135

(7y + 52)/77 = 103/135

Step 3: Cross-multiply and solve for y:

103(77) = (7y + 52)(135)

7943 = 7y + 7020

7y = 7943 - 7020

7y = 922

y = 922/7

y ≈ 131.71

Therefore, the solution to the equation (y-8)/11 + 4/7 = (8/27)/5 + 1/3 is y ≈ 131.71.

Please note that the solutions provided are approximate decimal values.