Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?

We need to add 400 ml of the 40% solution

Step-by-step explanation:

We take the amount times the percent concentration and add what we mix to get the final concentration

We need the final mixture to be 30% and we have 200 +x milliliter added together so that will be the amount in the container

200 * 10 % + x* 40 % = (200+x) *30%

Change the percent to decimal form

200 * .10  + x* .40  = (200+x) *.30

Distribute the .30

20 + .4x = 60+.3x

Subtract .3x from each side

20 + .4x-.3x = 60+.3x-.3x

20 +.1x = 60

Subtract 20 from each side

20-20 +.1x = 60-20

.1x = 40

Divide by .1

.1x/.1 = 40/.1

x=400

We need to add 400 ml of the 40% solution

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.

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had