Question

1) 32(x + 14) =756 2) 29 x -11 x= 504 3) 7x +9x+32 =272​ 4) 5y + 7y + 24=204 5) 24x- 15 x +47= 1919 6) 0,6a+8,7a-2,3a-3,5 если a равно 0,9​

Answer 1

Пошаговое объяснение:

1) x+14=756:32

x=23 5/8 - 14

x= 9 5/8

2) 18x = 504

x = 504/18

x = 28

3) 16x = 240

x = 240 : 16

x = 15

4) 12y = 180

y = 180 : 12

y = 15

5) 9x = 1919 - 47

9x = 1872

x = 1872 / 9

x = 208

6) 7a - 3.5 = 7×0.9 - 3.5 = 6.3 - 3.5 =2.8

Answer 2

Let's solve the given equations one by one:

1. 32(x + 14) = 756

To solve this equation, we'll first simplify the left side by distributing 32 to both terms inside the parentheses:

32x + 32 * 14 = 756 32x + 448 = 756

Next, we'll isolate the variable term by subtracting 448 from both sides:

32x = 756 - 448 32x = 308

Finally, we'll solve for x by dividing both sides by 32:

x = 308 / 32 x = 9.625

Therefore, the solution to the equation is x = 9.625.

2. 29x - 11x = 504

To solve this equation, we'll combine like terms on the left side:

29x - 11x = 504 18x = 504

Next, we'll solve for x by dividing both sides by 18:

x = 504 / 18 x = 28

Therefore, the solution to the equation is x = 28.

3. 7x + 9x + 32 = 272

To solve this equation, we'll combine like terms on the left side:

7x + 9x + 32 = 272 16x + 32 = 272

Next, we'll isolate the variable term by subtracting 32 from both sides:

16x = 272 - 32 16x = 240

Finally, we'll solve for x by dividing both sides by 16:

x = 240 / 16 x = 15

Therefore, the solution to the equation is x = 15.

4. 5y + 7y + 24 = 204

To solve this equation, we'll combine like terms on the left side:

5y + 7y + 24 = 204 12y + 24 = 204

Next, we'll isolate the variable term by subtracting 24 from both sides:

12y = 204 - 24 12y = 180

Finally, we'll solve for y by dividing both sides by 12:

y = 180 / 12 y = 15

Therefore, the solution to the equation is y = 15.

5. 24x - 15x + 47 = 1919

To solve this equation, we'll combine like terms on the left side:

24x - 15x + 47 = 1919 9x + 47 = 1919

Next, we'll isolate the variable term by subtracting 47 from both sides:

9x = 1919 - 47 9x = 1872

Finally, we'll solve for x by dividing both sides by 9:

x = 1872 / 9 x = 208

Therefore, the solution to the equation is x = 208.

6. 0.6a + 8.7a - 2.3a - 3.5, where a = 0.9

To solve this equation, we'll substitute the value of a into the equation:

0.6(0.9) + 8.7(0.9) - 2.3(0.9) - 3.5

Simplifying each term, we have:

0.54 + 7.83 - 2.07 - 3.5

Next, we'll combine like terms:

(0.54 + 7.83 - 2.07) - 3.5 6.3 - 3.5

Finally, we'll subtract