Lisa needs 18 yards of red, gold, and green fabric to make a quilt. She bought 6 3 4 6 3 4 yards of red fabric and 4 1 3 4 1 3 yards of gold fabric. What is the most accurateestimate for the amount of green fabric Lisa bought?

Complete Question

Lisa needs 18 yards of red, gold, and green fabric to make a quilt.

She bought 6 3/4 yards of red fabric and 4 1/ 3 yards of gold fabric. What is the most accurate estimate for the amount of green fabric Lisa bought?

6 11/12 yards

Step-by-step explanation:

The total yards of fabric = Red + Blue + Green

18 = 6 3/4 + 4 1/3 + Green

Green = 18 - (6 3/4 + 4 1/3) yards

Lowest Common Denominator = 12

18 - (10 + ( 3/4 + 1/3) yards

18 - (10 + ( 9 + 4/12) yards

18 - ( 10 + 13/12) yards

18 - ( 10 + 1 1/12) yards

18 - 11 1/12 yards

= 6 11/12 yards

Therefore, the most accurate estimate for the amount of green fabric Lisa bought is 6 11/12 yards

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3