QQuestionMathematics
QuestionMathematics
What is an equivalent expression for 1.5(3x+ 4)+ 0.25(6x+ 8)?
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Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Distribute the first term 1.5(3x+ 4)
1.5(3x+4) = 1.5 \cdot 3x + 1.5 \cdot 4
= 4.5x + 6
Step 3:: Distribute the second term 0.25(6x+ 8)
0.25(6x+8) = 0.25 \cdot 6x + 0.25 \cdot 8
= 1.5x + 2
Step 4:: Add the two distributed terms
4.5x + 6 + 1.5x + 2
Step 5:: Combine like terms
4.5x + 1.5x + 6 + 2
= 6x + 8
Final Answer
The equivalent expression for 1.5(3x+ 4)+ 0.25(6x+ 8) is 6x + 8.
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