3/4 (2a  −  6)  +  1/2   =  2/5 (3a  +  20) what is the value of a

A= 40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3/4 (2a-6)+1/2=2/5(3a+20)

(3/4) (2a) + (3/4) (-6) + 1/2 = (3a) + (2/5) (20)

(distribute)

3/2a + -9/2 + 1/2 = 6/5a + 8

(3/2 a) + ( -9/2 + 1/2 ) = 6/5a + 8 (Combine like terms)

3/2a + -4 = 6/5a + 8

3/2a -4 = 6/5a+8

Step 2: Subtract 6/5a from both sides.

3/2a - 4 - 6/5 a = 6/5a + 8 - 6/5 a

3/10 a - 4= 8

Step 3: Add 4 to both sides.

3/10a -4 +4 = 8 + 4

3/10 a = 12

Step 4: Multiply both sides by 10/3

(10/3) * (3/10a) = (10/3) * (12)

a = 40

a 10 percent increase

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.