Eleven times the sum of a number and eight equals 440. Is this correct?
It is correct as an English statement. Are you to convert the statement to a math statement?
If this english statement is correct, then I have the correct math statement. Thank you for your help. I think I have it now.
Make sure the English statement matches the math statement. I have no way of knowing if the English statement matches as the English statement may be anything you choose.
To determine if the given equation is correct, we need to solve it algebraically.
Let's represent the number in question as "x".
The equation states that "eleven times the sum of a number and eight equals 440", which can be written as:
11(x + 8) = 440
To solve for x, follow these steps:
1. Distribute 11 to the terms within the parentheses:
11x + 11(8) = 440
11x + 88 = 440
2. Subtract 88 from both sides of the equation to isolate the variable:
11x = 440 - 88
11x = 352
3. Divide both sides of the equation by 11 to solve for x:
x = 352 / 11
x ≈ 32
So, the value of x is approximately 32.
Now let's substitute this value back into the original equation to verify if it holds true:
11(32 + 8) = 440
11(40) = 440
440 = 440
Since both sides of the equation are equal, we can conclude that the given equation is correct.