It takes Dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. He has been making bracelets for longer than 120 minutes. If x represents the number of simple bracelets that he has made and y represents the number of deluxe bracelets he has made, the inequality 9x + 20y > 120 represents the scenario. Which is a possible combination of bracelets that Dimitri may have made? 3 simple bracelets and 4 deluxe bracelets 0 simple bracelets and 6 deluxe bracelets 12 simple bracelets and 0 deluxe bracelets 7 simple bracelets and 3 deluxe bracelets

7 simple bracelets and 3 deluxe bracelets

Step-by-step explanation:

Let x be the number of simple bracelets

Dimitri takes 9 minutes to make a simple bracelet

So, Time taken by him to make x bracelets = 9x

Let y be the number of deluxe bracelets

He takes 20 minutes to make a deluxe bracelet

So,Time taken by him to make y deluxe bracelets = 20y

We are given that He has been making bracelets for longer than 120 minutes.

So, 9x+20y>120

A)3 simple bracelets and 4 deluxe bracelets

So,9(3)+20(4)>120

So, it is not a possible combination

B) 0 simple bracelets and 6 deluxe bracelets

9(0)+20(6)>120

So, it is not a possible combination

C) 12 simple bracelets and 0 deluxe bracelets

9(12)+20(0)>120

So, it is not a possible combination

D) 7 simple bracelets and 3 deluxe bracelets

9(7)+20(3)>120

123>120

So, it is a possible combination

So, Option D is true

hey there! : )

4y < -4

we need to isolate y. we can do this by simply dividing both sides by 4.

4y ÷ 4 > -4 ÷ 4

simplify.

y > -1

5 - y > 0

once again, we need to isolate y, so we can start off by subtracting 5 from both sides.

5 - y - 5 > 0 - 5

simplify.

-y > -5

divide both sides by -1.

** remember that when dividing any side by a negative, you must switch the sign! **

-y ÷ -1 < -5 ÷ -1

simplify.

y < 5

~hope i ! ~