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.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: 0,6

step-by-step explanation:

this would make it the y intercept.