This is 22 points initially, $40\%$ of the students at the school dance are girls. then, $15$ more girls arrive, after which $52\%$ of the students at the dance are girls. how many students are now at the dance after the additional girls arrive?

There are 112 students left.

Step-by-step explanation: let the original number of students be 100 out of which 40 were girls. Additional 15 girls came making a total of 115 students out of which 55 are girls.

But we're told that the number of girls left is 52 not 55 so it means 3 girls left the dance, this reducing the total number of students from 115 to 112.

I believe this is clear enough.

The above solution is correct if the figures 40, 52, and 15 are taken as numbers NoT percentage. That was my error. I'm so sorry!

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

idk

step-by-step explanation: