Ella has 0.5 lbs of sugar. how much water should she add to make the following concentrations? tell ella how much syrup she will have in each case. 20%, 25% and 1.5% syrup?

she has to add 32.83 lbs of water and will obtain 32.83 lbs of syrup

Step-by-step explanation:

Concentration = [ (mass of sugar)/(mass of solution) ] * 100

= mass of solution = mass of sugar * 100 / concentration

1) concentration 20%

mass of sugar = 0.5 lbs

= mass of solution = mass of sugar * 100 / concentration = 0.5 lbs * 100 / 20

mass of solution = 2,5 lbs

mass of water = mass of solution - mass of sugar = 2.5 lbs - 0.5 lbs = 2.0 lbs

she must add 2.0 lbs of water and will obtain 2.5 lbs of syrup

2) concentration 25%

Follow the same procedure.

mass of solution = 0.5 lbs * 100 / 25 =

mass of solution = 2.0 lbs

mass of water = 2.0 lbs - 0.5 lbs = 1.5lbs

she has to add 1.5 lbs of water and will obtain 2.0 lbs of syrup

3) Same procedure

mass of solution = mass of sugar * 100 / concentration = 0.5 lbs * 100 / 1.5

mass of solution = 33.33 lbs

mass of water = 33.33 lbs - 0.5 lbs = 32.83 lbs

she has to add 32.83 lbs of water and will obtain 32.83 lbs of syrup

Hope it helps

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

70,000 + 6,000 + 800 + 30

step-by-step explanation: