Answer:
the goal is to try and get x alone. For the 1st problem, x=3.
Step-by-step explanation:
3x + 1 = 10 Subtract 1 both sides to cancel out the 1 on the left side. 10-1 = 9
3x = 9 To get x alone here, Divide 3 on both sides. 9/3 = 3
x = 3 Now x is alone, which means x = 3.
This is right because if you plug x with 3, the sum = 10.
(3*3) + 1 =10
9 + 1 = 10
So, that's how you know 3 is the right answer.
Answer: The width is: " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________
V = L * w * h ;
_________________________________________________
in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
____________________________________________
We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________
V = L * w * h ;
____________________________________________
Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
_____________________________________________
→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
_________________________________
→ V / (L * h) = w ;
↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
____________________________________________________
→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
____________________________________________________
