Tracy is saving to buy a new guitar that costs $253.77 (including tax). tracy has saved $136.27, and she can save $23.50 each week.
which equation could you use to find how long it will take to save for the guitar?

$23.50w = $253.77
$253.77 - w = $136.27 + $23.50
$253.77 + $136.27 = $23.50w
$136.27 + $23.50w = $253.77

Step-by-step explanation:

We know that the guitar costs $253.77. Tracy has $136.27, this is a constant value, it cannot be related with the variable. The variable represent "weeks", and Tracy can save $23.50 per week, which is the coefficient of the variable.

So, basically, the sum of the money save plus the money he will save per week must be equal to the cost of the guitar. The expression would be:

$136.27 + $23.50w = $253.77

As you can see, the right answer is the last one.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."