There is surely a typo in there somewhere as reading it gave me a headache :D
I believe it was intended to say that a pound of peanuts is $3.5 and a pound of covered peanuts is $2.75. Then we are to make a 12 pound mixture worth $3 a pound.
Let p be the pounds of peanuts and c be the pound of chocolate covered peanuts. Then:
(2.75p+3.5c)/12=3, given that p+c=12, c=12-p, making the equation become:
(2.75p+3.5(12-p)/12=3, multiply both sides by 12
2.75p+42-3.5p=36 combine like terms on left side
-0.75p+42=36 subtract 42 from both sides
-0.75p=-6 divide both sides by -0.75
p=8 lb, since c=12-p
c=4 lb
So the brothers should mix 8 pounds of regular peanuts with 4 pounds of chocolate covered peanuts to produce a 12 pound mixture worth $3 per pound.
<h3>
Answer: (7, 7)</h3>
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Explanation:
T(P) is the notation applying the translation rule T(x,y) = (x+5, y+4) to the point P(2,3)
The x+5 means we add 5 to the x coordinate of P. We have x = 2 become x+5 = 2+5 = 7. The point P shifts 5 units to the right to go from (2,3) to (7,3)
Then the point shifts 4 units up to arrive at (7, 7). We shift 4 units up due to the y+4 in the translation rule.
Or put another way, y = 3 is the y coordinate of P. So y+4 = 3+4 = 7 is the new y coordinate.
Answer:
0.547 in.
Step-by-step explanation:
Volume for a rectangular prism is LxWxH.
--> First turn them into decimals:
* 1/2 = 0.5.
* 7/8 = 0.875.
* 1 1/4 = 1.25.
--> Now use the formula:
* 0.5 x 0.875 x 1.25 = 0.547.
I think the two datas have somewhat similar distribution.
Answer:
thank you for the points.