Write and solve an equation that represents the following math sentence.
Twenty-nine equals the sum of 11.5 and the quotient of a number and 2.5.
29 equals 11.5 plus m over 2.5; m = 43.75"
29 equals 11.5 plus m over 2.5; m = 7"
29 = 11.5 + 2.5m; m = 43.75"
29 = 11.5 + 2.5m; m = 7"
The correct answer is:
29 = 11.5 + 2.5m; m = 7
The correct equation that represents the math sentence "Twenty-nine equals the sum of 11.5 and the quotient of a number and 2.5" is:
29 = 11.5 + (m/2.5)
Where m represents the unknown number.
To solve this equation, we need to isolate the variable m. Let's start by subtracting 11.5 from both sides:
29 - 11.5 = (m/2.5)
Simplifying the left side:
17.5 = (m/2.5)
Next, we can multiply both sides by 2.5 to get rid of the fraction:
17.5 * 2.5 = m
Simplifying the left side:
43.75 = m
Therefore, the solution to the equation is m = 43.75.
To solve the equation that represents the math sentence, we can break it down step by step.
The math sentence states that "Twenty-nine equals the sum of 11.5 and the quotient of a number and 2.5." Let's break this down into an equation.
The phrase "the quotient of a number and 2.5" can be represented as "m/2.5", where "m" is the number we want to find.
So the equation becomes:
29 = 11.5 + (m/2.5)
Now, let's solve for "m".
To isolate the term with "m", we first subtract 11.5 from both sides:
29 - 11.5 = m/2.5
Simplifying the left side:
17.5 = m/2.5
To eliminate the division by 2.5, we multiply both sides of the equation by 2.5:
17.5 * 2.5 = m
Simplifying:
43.75 = m
Therefore, the correct answer is:
29 = 11.5 + 2.5m; m = 43.75