Area of fountain is 147.58 and area of path is 28.26
Answer: y = 1/2x - 9
Step-by-step explanation:
- y + 5 = 1/2(x - 8)
- y + 5 = 1/2x - 4 (distribute)
- y = 1/2x - 9 (subtract 5 from both sides)
Step-by-step explanation:
9x² + 6 = 12x
3x² + 2 = 4x
3x² − 4x + 2 = 0
Use quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)
x = [ 4 ± √(16 − 24) ] / 6
x = [ 4 ± √(-8) ] / 6
x = (4 ± 2i√2) / 6
x = (2 ± i√2) / 3
Given:
h = high quality bean ; costs 6 per pound
c = cheaper bean ; costs 3.25 per pound
160 pounds of blended coffee beans at 4.97 per pound
h + c = 160
6h + 3.25c = 160(4.97)
6h + 3.25c = 795.20
h = 160 - c
6(160-c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
- 2.75c = 795.20 - 960
- 2.75c = -164.80
c = - 164.80 / -2.75
c = 59.92 or 60 pounds
h = 160 - c
h = 160 - 60
h = 100 pounds
Sarah must blend 100 pounds of high quality bean and 60 pounds of cheaper bean.
Answer:
468
Step-by-step explanation:
