FABRIC You can spend at most $60 on lace. Cotton lace is $2 per yard and linen lace is $3 per yard. Write an inequality for the amounts of lace you can buy. Can you buy 12 yards of cotton lace and 15 yards of linen lace? Explain.

2c + 3l ≤ 60

No

Step-by-step explanation:

Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.

Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60

We can then plug our values of cotton and linen lace into our equation

12 yards of cotton lace, 15 yards of linen lace

2c + 3l ≤ 60

2(12) + 3(15) ≤ 60

24 + 45 ≤ 60

69 ≤ 60

This is false, so you cannot buy these amounts of lace.

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: