Step-by-step explanation:
-x+2y=-6
x-2y=6
x=2y+6
substitute in 2x-3y=11 gives us 2(2y+6)-3y=11
4y+12-3y=11
y=-1
-x+2(-1)=-6
-x=-4
x=4
<span>75 lbs of Earl Grey
225 lbs of Orange Pekoe
Some definitions.
E = number of pounds of Earl Grey
(300-E) = number of pounds of Orange Pekoe
Expression for selling price of new blend
P=300*4.5
"there is to be no difference in revenue from selling the new blend versus selling the other types." so
P = 6E + 4(300-E)
Set them equal to each other, then solve for E
300*4.5 = 6E + 4(300-E)
1350 = 6E + 1200 - 4E
150 = 6E - 4E
150 = 2E
75 = E
So 75 lbs of Earl Grey was used and 300-75 = 225 lbs of Orange Pekoe</span>
Answer:
{-3, 3}
Step-by-step explanation:
x^2 - 9 = 0 can be written in factored form as (x -3)(x + 3) = 0. Letting each factor equal zero separately and solving for x, we get x: {-3, 3}
Since six necklaces all together costs 31.80 to make, I divided 31.80 by 6 and got 5.3. That means that to make one necklace, they'd spend $5.30. The beads alone for 1 necklace cost $2.70, so I subtracted that from the $5.30.
Answer: Each pendant costs $2.60
