Which equation corresponds to the following problem? (1 point) Responses 8(2n+6)=104 8 times open paren 2 n plus 6 close paren is equal to 104 8(n+6)=104 8 times open paren n plus 6 close paren is equal to 104 2n+6=8 2 n plus 6 is equal to 8 8+n+n+6=104
The height is 8
the width is n
length is n + 6
all adds up to 104
The equation that corresponds to the given problem is: 8(n + 6) = 104.
To determine which equation corresponds to the given problem, we can analyze the information provided. The problem states that the height is 8, the width is n, the length is n + 6, and the sum of these dimensions is 104.
Let's break down the given options:
1. 8(2n+6)=104:
This option represents the product of 8 and the expression (2n + 6). However, it does not represent the sum of the dimensions, so it is not the correct equation.
2. 8(n+6)=104:
This option represents the product of 8 and the expression (n + 6). Since the width is n and the length is n + 6, this equation correctly represents the sum of the dimensions. Therefore, this equation corresponds to the given problem.
3. 2n+6=8:
This equation does not incorporate the given dimensions or sum. Hence, it does not correspond to the problem.
4. 8+n+n+6=104:
This equation represents the sum of 8, n, n, and 6, which is not equivalent to the sum of the given dimensions. Therefore, this equation does not correspond to the problem.
Based on the analysis, the equation that corresponds to the given problem is 8(n+6)=104.