Final answer:
The sum of the algebraic expressions (5.3x +8), (5.09y - 2), and (6.3c + 4) is 5.3x + 5.09y + 6.3c + 10.
Step-by-step explanation:
The question requires finding the sum of three algebraic expressions: (5.3x +8), (5.09y - 2), and (6.3c + 4). To find the sum, we combine like terms, which in this case means just adding the constants and keeping the variable terms separate since they are not like terms.
Therefore, the sum of these expressions is:
5.3x + 5.09y + 6.3c + (8 - 2 + 4).
Simplifying the constants gives us:
5.3x + 5.09y + 6.3c + 10.
This result represents the simplified sum of the given algebraic expressions.