Answer:
2x + 8 inches
Step-by-step explanation:
Cabinet B = x inches
Cabinet C = x + 3 inches
Cabinet A = x + 5 inches
Write algebraic expressions for the heights of cabinets A and C.
Cabinet A = x + 5 inches
Cabinet C = x + 3 inches
Cabinet A + Cabinet C = (x + 5) + (x + 3)
= x + 5 + x + 3
= 2x + 8 inches
cabinets A and C = 2x + 8 inches
The algebraic expressions for the heights of cabinets A and C are 2x + 8 inches.
Given that,
Cabinet A is 5 inches taller than Cabinet B.
Cabinet C is 3 inches taller than Cabinet B whose height is x inches.
We have to find,
The algebraic expressions for the heights of cabinets A and C.
According to the question,
The Cabinet B height = x inches
The Cabinet C height = x + 3 inches
The Cabinet A height = x + 5 inches
The algebraic expressions for the heights of cabinets A and C are,
[tex]\rm The \ expressions \ for\ the \ heights \ of \ cabinets\ A \ and \ C = Height \ of \ cabinet A + height \ of \ cabinet C \\\\\The \ expressions \ for\ the \ heights \ of \ cabinets\ A \ and \ C = (x + 5) + (x + 3)\\\\ The \ expressions \ for\ the \ heights \ of \ cabinets\ A \ and \ C = x + 5 + x + 3\\\\ The \ expressions \ for\ the \ heights \ of \ cabinets\ A \ and \ C= 2x + 8\ inches[/tex]
Hence, The required algebraic expressions for the heights of cabinets A and C are 2x + 8 inches.
For more details refer to the link given below.
https://brainly.com/question/9626689
