Need now 100 points 2 pictures below answer all 100 !

Problem 1 :  Option B, x = 9

Problem 2:  Option A, r = 45

Problem 3:  Option D, m = 7

Problem 4:  Option B, b/2 - 4 = 9; Total Bill was $26

Problem 5:  Option C, 3h + 5 = 11; h = 2

Step-by-step explanation:

Problem 1

Step 1:  Add 3 to both sides

2x - 3 + 3 = 15 + 3

2x = 18

Step 2:  Divide both sides by 2

2x / 2 = 18 / 2

x = 9

 Option B, x = 9

Problem 2

Step 1:  Add 4 to both sides

r/3 - 4 + 4 = 11 + 4

r/3 = 15

Step 2:  Multiply both sides by 3

r/3 * 3 = 15 * 3

r = 45

 Option A, r = 45

Problem 3

Step 1:  Subtract 7 from both sides

7 + 3m - 7 = 28 - 7

3m = 21

Step 2:  Divide both sides by 3

3m / 3 = 21 / 3

m = 7

 Option D, m = 7

Problem 4

Step 1:  Make an expression

b/2 -> You and your friend

-4 -> You owe to your friend

9 -> Total your friend gives you

Equation:  b/2 - 4 = 9

Step 2:  Add 4 to both sides

b/2 - 4 + 4 = 9 + 4

b/2 = 13

Step 3:  Multiply both sides by 2

b/2 * 2 = 13 * 2

b = $26

 Option B, b/2 - 4 = 9; Total Bill was $26

Problem 5

Step 1:  Make an expression

3h -> 3 dollars an hour

+5 -> Initial cost

11 -> Total Cost

Equation:  3h + 5 = 11

Step 2:  Subtract 5 from both sides

3h + 5 - 5 = 11 - 5

3h = 6

Step 3:  Divide both sides by 3

3h / 3 = 6 / 3

h = 2

 Option C, 3h + 5 = 11; h = 2

Step-by-step explanation:

1.

2x - 3 = 15

2x - 3 + 3 = 15 + 3

2x = 18

x = 18/2

x = 9

2 .  r/3 - 4 = 11

r/3 - 4 + 4 = 11 + 4

r/3 = 15

r = 15 * 3

r = 45

3 .  7 + 3m = 28

7 + 3m - 7 = 28 - 7

3m = 21

m = 21/3

m = 7

4 .   b/2 - 4 = 9

let b/2  You and your friend

-4  You owe to your friend

9  Total your friend gives you

b/2 - 4 + 4 = 9 + 4

b/2 = 13

b = 13 * 2

b = $26

5 .  3h + 5 = 11

let

3h = 3 dollars per hour

+5  Initial cost

11  Total Cost

3h + 5 - 5 = 11 - 5

3h = 6

h = 6 / 3

h = 2

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)