Question

110. 1) (12m - 5m) 4 = 252; 2) (4n + 3n). 11 = 154;3) 45 : (4m - m) = 3;4) (19n - 6n) : 4 = 26;5) (16m + 5m): 18 = 7;6) (17n - 8n). 13 = 351.​

Answer 1

Ответ:

Пошаговое объяснение:

(12m - 5m) 4 = 252

7m=252/4

m=63/7=9

(4n + 3n)·11 = 154

7n=154/11

n=14/7=2

45 : (4m - m) = 3

3m=45/3

m=15/3=5

(19n - 6n) : 4 = 26

13n=26·4

n=104/13=8

(16m + 5m): 18 = 7

21m=7·18

m=126/21=6

(17n - 8n)·13 = 351

9n=351/13

n=27/9=3

Answer 2

Let's solve each equation step by step:

1. (12m - 5m) * 4 = 252

Combine like terms inside the parentheses: (7m) * 4 = 252

Multiply: 28m = 252

Divide both sides by 28: m = 252 / 28 m = 9

So the solution is m = 9.

2. (4n + 3n) * 11 = 154

Combine like terms inside the parentheses: (7n) * 11 = 154

Multiply: 77n = 154

Divide both sides by 77: n = 154 / 77 n = 2

So the solution is n = 2.

3. 45 : (4m - m) = 3

Simplify the expression inside the parentheses: 45 : (3m) = 3

Multiply both sides by (3m): 45 = 3 * (3m)

Multiply: 45 = 9m

Divide both sides by 9: m = 45 / 9 m = 5

So the solution is m = 5.

4. (19n - 6n) : 4 = 26

Combine like terms inside the parentheses: (13n) : 4 = 26

Multiply both sides by 4: 13n = 26 * 4

Multiply: 13n = 104

Divide both sides by 13: n = 104 / 13 n = 8

So the solution is n = 8.

5. (16m + 5m) : 18 = 7

Combine like terms inside the parentheses: (21m) : 18 = 7

Multiply both sides by 18: 21m = 7 * 18

Multiply: 21m = 126

Divide both sides by 21: m = 126 / 21 m = 6

So the solution is m = 6.

6. (17n - 8n) * 13 = 351

Combine like terms inside the parentheses: (9n) * 13 = 351

Multiply: 117n = 351

Divide both sides by 117: n = 351 / 117 n = 3

So the solution is n = 3.

To summarize, the solutions to the given equations are:

1. m = 9
2. n = 2
3. m = 5
4. n = 8
5. m = 6
6. n = 3