Jackie has fewer than 20 h to work on her jewelry. It takes her half an hour to make a necklace and an hour to make a bracelet. She wants to make x necklaces and y bracelets, and she wants at least twice as many bracelets as necklaces.

Select all inequalities that model this situation.

y>2x

y≥2x

x>0

x≥0

0.5x+y<20

0.5x+y≤20

Question

Mathematics

Myah Brown

9 August, 04:27

Jackie has fewer than 20 h to work on her jewelry. It takes her half an hour to make a necklace and an hour to make a bracelet. She wants to make x necklaces and y bracelets, and she wants at least twice as many bracelets as necklaces.

Select all inequalities that model this situation.

y>2x

y≥2x

x>0

x≥0

0.5x+y<20

0.5x+y≤20

+5

Answers (1)

Know the Answer?

Mattie Stevenson · Answer 1

Making 1 necklace takes her 0.5 hours, so making x necklaces, will take her 0.5x hours.

Making 1 bracelet takes her 1 hour, so making y bracelets, will take her 1*y=y hours.

So in total, she needs to work for 0.5x + y hours.

Since she has fewer than 20 hours, 0.5x + y must be smaller that 20.

Thus, we have 0.5x + y<20

Answer:0.5x + y<20