Answer:
It's 6 to the left and 8 down
He started at the wrong end of the number.
He should have started with the 3-8 and borrowed ending up with 85
Answer:
What is the full question because that question seems irrelevant.
Step-by-step explanation:
B
but i have to write more to let me post this so here it is
Answer: d = -16 .
_______________________________________________________
Explanation:
____________________________________________________
Given: 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ; Solve for "d" ;
_________________________________________
→ Note the distributive property of multiplication:
____________________________________________
a (b + c) = ab + ac ;
a (b − c) = ab − ac ;
________________________________________
As such, we can expand the left-hand side of the question:
______________________________________________
→ 0.2 (d − 6) = (0.2 *d) − (0.2 *6) = 0.2 d − 1.2;
________________________________________
And rewrite the entire equation:
________________________________________
→ 0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d ;
__________________________________________
→ Let us multiply the ENTIRE equation (both sides) by "10"; to get rid of the decimals:
_________________________________________
→ 10 * {0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d} ;
___________________________________________
→ 2d − 12 = 3d + 50 − 30 + 1d ;
→ Combine the "like terms", +3d , +1d ; to get 4d; on the 'right-hand side' of the equation ; and rewrite:
→ 2d − 12 = 4d + 50 − 30 ;
→ Now add "12"; and subtract "2d" from EACH SIDE of the equation;
→ 2d − 12 + 12 − 2d= 4d + 50 − 30 + 12 − 2d ;
→ 0 = 2d + 32 ; ↔ 2d + 32 = 0 ;
→ Subtract "32" from each side of the equation:
_________________________________________________________
→ 2d + 32 − 32 = 0 − 32 ;
→ 2d = - 32
__________________________________
→ Now, divide EACH side of the equation by "2" ; to isolate "d" on ONE side of the equation; and to solve for "d" ;
____________________________________________________
→ 2d / 2 = - 32 / 2 ;
_________________________________________
→ d = - 16 ; which is our answer.
_______________________________________________________
Let us check our answer by plugging this value for "d" in the original equation to see if the equation holds true when "d = -16" ;
___________________________________________________
→ 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ;
_______________________________________________
→ Let us start with the "left-hand side".
_______________________________________
→ 0.2 (d − 6) ; ↔ 0.2*(-16 − 6) ; ↔ 0.2*(-22) = -4.4.
_____________________________________________
When "d" = -16 in the right-hand side of the equation,
is the result, "-4.4" ???
_______________________________________________
→ 0.3d + 5 − 3 + 0.1 d = ? -4.4 ???
________________________________________
→ (0.3 * -16) + 5 − 3 + (0.1 * -16) =? -4.4???
_____________________________________________
→ (-4.8) + 5 − 3 + (-1.6) = ? -4.4????
___________________________________________
→ (-4.8) + 5 − 3 − (1.6) = ? -4.4????
→ -4.4 =? -4.4??? Yes!!!
_____________________________________________________
