Question

Which expression is equivalent to 1/5​m+4/5​m−3/10​(m+1)?

A) 1/10​m−1/10
B) 7/10​m−3/10
C) 3/10​m+1/10
D) 3/10​m−1/10

Answer 1

The expression equivalent to 1/5m + 4/5m - 3/10(m + 1) is B) 7/10m - 3/10 after combining like terms and simplifying.

Step-by-step explanation:

The question involves simplifying a mathematical expression with variables. To find an expression equivalent to 1/5​m + 4/5​m - 3/10​(m + 1), we combine like terms and simplify the expression step by step:

• First, we combine 1/5m and 4/5m which are like terms. 1/5 + 4/5 = 5/5 and 5/5m = m.
• Then we distribute -3/10 to both m and 1 inside the parenthesis. -3/10 * m = -3/10m and -3/10 * 1 = -3/10.
• Now we combine m and -3/10m. 1m - 3/10m = 7/10m.
• Lastly, we have the constant -3/10 to include in our final expression. So, the equivalent expression is 7/10m - 3/10.

Hence, the correct answer is B) 7/10​m - 3/10.