translate into an algebraic expression: 120 is decreased by d% and increased by 25%. what is the result

150(1-x)

Step-by-step explanation:

120 is decreased by d%

Let x = d%

120 - 120*x

120(1-x)

Then it is increased by 25%

(120 (1-x)) +(120 (1-x))*.25

(120 (1-x)) +(30 (1-x))

150(1-x)

Solution given:

120 is decreased by d%

in algebraic expression

120-d% of 120

and then

increased by 25%

in algebraic expression

(120-d% of 120)+25% of (120-d% of 120)

(120(1-d%))+120/4*(1-d%)

(1-d%)(120+30)

150(1-d%) is a required algebraic expression.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

246

step-by-step explanation: