4. (2) Divide $27,000 into 3 parts so that the second part is three times the first and the
third part is twice the second.

the first part is $2700

the second part is $8100

the third part is $16200

Step-by-step explanation:

Call the first part a (a>= 0)

=> the second part 3a

=> the third part 2.3a = 6a

Because the total of three parts is 27000 so we have:

a + 3a + 10a = 27000

<=> 10a = 27000

<=> a = 2700 (satisfied)

so

the first part is: a = $2700

the second part is: 3a = 3 . 2700 = $8100

the third part is: 6a = 6 . 2700 = $16200

p/s: actually there are some word I don't know how to express them in English. So please notice to correct them

do you have the measurements?

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'.