The answer is: " 8 " .
________________________________
Explanation:
________________________________
Let "x" represent the "original number".
2(x - 3) = 6 + (1/2)x ; Solve for "x" ;
______________________________________
Multiple the ENTIRE EQUATION (both sides) by "2" ; to get rid of the fraction:
2*{2(x - 3) = 6 + (1/2)x} ;
to get:
4(x - 3) = 12 + x ;
___________________________
Let us expand the "left-hand side" of the equation:
_____________________________________________
Note the "distributive property of multiplication" :
_____________________________________________
a(b - c) = ab - ac ;
a(b +c) = ab + ac ;
______________________________________________
So; "4(x - 3)" = 4*x - 4*3 = 4x - 12 ;
______________________________________________
Rewrite the equation:
_______________________________________________
4x - 12 = 12 + x ;
Subtract "x" from EACH side of the equation; and Add "12" to EACH SIDE OF THE EQUATION;
______________________________________________
4x - 12 - x + 12 = 12 + x - x + 12 ;
to get:
______________________________________________
3x = 24 ;
_____________________________________________
Now, divide EACH side of the equation by "3" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_____________________________________________
3x/3 = 24/3 ;
_____________________________________________
x = 8 .
_____________________________________________
Hello there :-)
Total cost of job=retail price of goods+labor cost+overhead
Labor cost
15×2.5+8×1+5.25×(3÷4)
=49.44 this is labor cost
Overhead= labor cost×overhead rate
Overhead=49.44×0.75=37.08
Now find total cost of job
Total cost of job=125.50+49.44+37.08
=212.02....answer
Hope it helps
Answer:
No is not the solution to that system
Step-by-step explanation:
