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.
A well-known formula gives us that
. Additionally, the sum of the angles in a circle is 360, so
, so
. Therefore,
.
First find the hypotenuse.
a^2 + b^2 = c^2
5^2 + 7^2 = c^2
c^2 = 25 + 49
c = sqrt(74)
sin(theta) = opp/hyp
sin(theta) = 7/(sqrt(74))
Answer:18
Step-by-step explanation:
same as other side 90 degrees
Ooook
1b:2t and
5t:l
so
times top one by 5 and 2nd one by 2
5b:10t and 10t:2l
5b:10t:2l
nice, 2 lettuce already
so then 5b, so 5 pounds of bacon
1lb bacon=4 sammiches, so 5 times 4=20 sanwiches
5lb bacon
20 sammiches
