Write the math sentence as an equation: Negative ten times the sum of a number and 12.5 is 60.5.
−10(r − 12.5) = 60.5
−10r + 12.5 = 60.5
−10(r + 12.5) = 60.5
−10r − 12.5 = 60.5
−10(r + 12.5) = 60.5
To write the math sentence as an equation, we need to identify the unknown number and assign it a variable, let's use "r" in this case.
The math sentence "Negative ten times the sum of a number and 12.5 is 60.5" can be translated into an equation as follows:
-10(r + 12.5) = 60.5
In this equation, the variable "r" represents the unknown number we are trying to find. The sum of the number and 12.5 is being multiplied by -10 (negative ten), and the result of that multiplication is equal to 60.5.
Now you can solve this equation to find the value of "r". Start by simplifying the equation:
-10r - 125 = 60.5
Next, move the constant term (-125) to the other side of the equation by adding 125 to both sides:
-10r = 60.5 + 125
-10r = 185.5
Finally, solve for "r" by dividing both sides of the equation by -10:
r = 185.5 / -10
r = -18.55
Therefore, the unknown number is approximately -18.55.