Question

110. 1) (12m - 5m) - 4 = 252; 2) (4n+ 3n) · 11 = 154; 3) 45 (4m - m) = 3; 4) (19n6n) : 4 = 26; 5) (16m + 5m): 18 = 7; 6) (17n - 8n) - 13 = 351.​

Answer 1

(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 of these equations step by step:

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

First, simplify the left side of the equation: (12m - 5m) - 4 = 7m - 4

Now, set the equation equal to 252 and solve for m: 7m - 4 = 252

Add 4 to both sides of the equation: 7m = 252 + 4 7m = 256

Now, divide both sides by 7 to isolate m: m = 256 / 7 m ≈ 36.57 (rounded to two decimal places)

2. (4n + 3n) · 11 = 154

First, simplify the left side of the equation: (4n + 3n) · 11 = 7n · 11 = 77n

Now, set the equation equal to 154 and solve for n: 77n = 154

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

3. 45(4m - m) = 3

First, simplify the expression inside the parentheses: 45(4m - m) = 45(3m)

Now, set the equation equal to 3 and solve for m: 45(3m) = 3

Divide both sides by 45 to isolate 3m: 3m = 3 / 45

Now, divide both sides by 3 to find m: m = (3 / 45) / 3 m = 1/45

4. (19n6n) ÷ 4 = 26

It seems like there might be a typo in this equation, as "19n6n" is not a standard mathematical notation. If you could clarify the equation, I can help you solve it.

5. (16m + 5m) ÷ 18 = 7

First, simplify the left side of the equation: (16m + 5m) ÷ 18 = 21m ÷ 18

Now, set the equation equal to 7 and solve for m: 21m ÷ 18 = 7

Multiply both sides by 18 to isolate 21m: 21m = 7 * 18 21m = 126

Now, divide both sides by 21 to find m: m = 126 / 21 m = 6

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

First, simplify the left side of the equation: (17n - 8n) - 13 = 9n - 13

Now, set the equation equal to 351 and solve for n: 9n - 13 = 351

Add 13 to both sides of the equation: 9n = 351 + 13 9n = 364

Now, divide both sides by 9 to isolate n: n = 364 / 9 n ≈ 40.44 (rounded to two decimal places)

So, the solutions are:

1. m ≈ 36.57
2. n = 2
3. m = 1/45
4. m = 6
5. n ≈ 40.44