Replace m with a whole number to make each statement true. m*10+m*13=138. What does the m represent?
To find the value that makes the statement true, we can simplify the equation:
m*10 + m*13 = 138
We multiply m by 10 and m by 13, and then sum the results.
Using the distributive property, we can rewrite the equation as follows:
10m + 13m = 138
Combining like terms:
23m = 138
To solve for m, we need to isolate it on one side of the equation.
Dividing both sides of the equation by 23, we get:
m = 138/23 = 6
Therefore, m represents the whole number 6.
m*10+m*13=138
10m + 13m = 138
23m = 138
m = 6