Seven times the sum of a number and six subtracted from four times the number results in negative twenty

-20.67

Step-by-step explanation:

Let the number be represented = x

Seven times the sum of a number and six subtracted from four times the number results in negative twenty

7 ×(x + 6) - 4 x x = -20

7(x + 6) - 4x = -20

7x + 42 - 4x = -20

7x - 4x = -20 - 42

3x = -62

x = -62/3

x = -20.67

The number is -20.67

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."

22 dimes and 9 nickels

step-by-step explanation: