A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 105 ounces of a mixture that is 30% salt. How many ounces of water and how many ounces of the 35% salt solution should she use?

90

Step-by-step explanation:

Start with changing 35% and 30% to a decimal.

35% = .35%

30% = .30%

Then multiply 105 by .30%. ( but don't put the percent sign in the calculator when multiplying)

105 x .30% = 31.5

Then you want to divide 31.5 by .35%

31.5 /  .35% = 90

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

hiking down a winding trail.

step-by-step explanation: