Carolyn, julia, and roberta share $77 in a ratio of 4: 2: 1, respectively. how many dollars did carolyn recieve?

4x = 44 which is Carolyn's share.

Step-by-step explanation:

Equation

Use a variable to find out how the sum of the ratios would be divided up to make 77 dollars.

4x + 2x + x = 77          Combine like terms on the left            

Solution

7x = 77                        Divide by 7

7x/7 = 77/7                  Do the division

x = 11

Answer

4*11 =  44 which is Carolyn's share

2*11 = 22 which is Julia's Share

1*11 = 11  which is Roberta's share.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w