Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors?

0.15(40) + 0.6x = 0.25(40 + x)
0.15(40) + 0.6(x – 40) = 0.25(x)
0.15(40) + 0.6x = 0.25(40 – x)
0.15(40) + 0.6(x + 40) = 0.25(x)

0.15(40) + 0.6(x – 40) = 0.25(x)

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:  

Fifteen percent of the pigment in paint color A is black

15% = 15/100 = 0.15 (decimal form)

0.15 A

Sixty percent of the pigment in paint color B is black

0.6 B

An unknown amount of paint color B is mixed with 40 ml of paint color A,

SO:

0.15 (0.40)  

0.6 (x-0.40)

x = total amount of paint in the mixture of the two colors

The result is a paint that contains 25% (0.25 in decimal form)black pigment (x)

0.15(40) + 0.6(x – 40) = 0.25(x)

Feel free to ask for more if needed or if you did not understand something.

answerthe vertex form

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.