Dina wants to be sure she is making money. she needs to sell enough bracelets to at least cover her expenses (costs for materials and table rental) and make a profit of $20 or more.

dina figures that if she sells 8 bracelets, she will cover her expenses and earn $20. do you agree?

explain and show work to support your answer.

I don’t agree because 20 covers her expenses but we need to know how much each braclet costs to add 20 to how much the braclet is y=?x+20

I can’t agree or disagree with Dina. In order to answer this question I need to know how much each bracelet costs.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

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