it takes dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. he has been…

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? \\bigcirc 3 simple bracelets and 4 deluxe bracelets \\bigcirc 0 simple bracelets and 6 deluxe bracelets \\bigcirc 12 simple bracelets and 0 deluxe bracelets \\bigcirc 7 simple bracelets and 3 deluxe bracelets

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? \\bigcirc 3 simple bracelets and 4 deluxe bracelets \\bigcirc 0 simple bracelets and 6 deluxe bracelets \\bigcirc 12 simple bracelets and 0 deluxe bracelets \\bigcirc 7 simple bracelets and 3 deluxe bracelets

Answer

Explanation:

Step1: Check Option 1

Substitute (x = 3), (y = 4) into (9x + 20y): (9(3)+20(4)=27 + 80 = 107). Since (107\not>120), this is invalid.

Step2: Check Option 2

Substitute (x = 0), (y = 6) into (9x + 20y): (9(0)+20(6)=0 + 120 = 120). Since (120\not>120), this is invalid.

Step3: Check Option 3

Substitute (x = 12), (y = 0) into (9x + 20y): (9(12)+20(0)=108+0 = 108). Since (108\not>120), this is invalid.

Step4: Check Option 4

Substitute (x = 7), (y = 3) into (9x + 20y): (9(7)+20(3)=63 + 60 = 123). Since (123>120), this is valid.

Answer:

7 simple bracelets and 3 deluxe bracelets