What is the value of the variable and bc if b is between a and c. Ab=4x,bc=5x;ab=16
you have
4x = ab
5x = bc
16 = ab
5ab = 4bc
5(16) = 4bc
20 = bc
so, x=4
To find the value of the variable x, we can set up an equation using the information given.
We know that Ab = 4x, bc = 5x, and ab = 16.
Since Ab = 4x and ab = 16, we can substitute 4x for Ab in the equation ab = 16:
4x = 16
Next, we can solve this equation to find the value of x.
Divide both sides of the equation by 4:
4x/4 = 16/4
Simplifying, we get:
x = 4
Now that we have found the value of x, we can determine the values of the variables a, b, and c.
Since Ab = 4x, we substitute x = 4 into Ab = 4x:
Ab = 4 * 4
Ab = 16
And since bc = 5x, we substitute x = 4 into bc = 5x:
bc = 5 * 4
bc = 20
Therefore, the value of the variable x is 4, and the values of the variables a, b, and c are:
a = Ab = 16
b = 4
c = bc = 20