for which value of m is 4/16=m/24 a proportion
A.M=6
B.M=8
C.M=12
D.M=14***
You are correct D.M=14
thanks
http://www.wolframalpha.com/input/?i=4%2F16%3Dm%2F24
To determine which value of M makes the equation 4/16 = M/24 a proportion, we need to solve the equation and check if it holds true.
Step 1: Simplify the equation
The given equation is 4/16 = M/24. We can simplify 4/16 by dividing both the numerator and denominator by 4:
1/4 = M/24
Step 2: Cross-multiply and solve
Cross-multiplying means multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa. In this case, we multiply 1 by 24, and 4 by M:
1 * 24 = 4 * M
24 = 4M
Step 3: Solve for M
Divide both sides of the equation by 4 to isolate M:
24/4 = 4M/4
6 = M
So, the value of M that makes the equation 4/16 = M/24 a proportion is M = 6.
Therefore, option A.M = 6 is the correct choice.