V = LWH.....to find W, divide both sides by LH
V / LH = W <===
The grocer wants to make a 10 pound mixture
p - pounds of peanuts
c - pounds of cashews
therefore the total pounds should be equal to 10 pounds
p + c = 10 -----> 1)
the cost for ;
peanuts - 4.00 per pound * p pounds = 4p
cashews - 6.50 per pound * c pounds = 6.5c
the price of 10 pounds mixture = 4.75 per pound * 10 pounds = 47.5
4p+6.5c = 47.5 ---> 2)
to solve for p and c lets use simultaneous equations
p + c = 10 -----> 1)
4p+6.5c = 47.5 ---> 2)
multiply 1st equation by 4
4p + 4c = 40 ---> 3)
subtract 3rd equation from the 2nd
2.5c = 7.5
c = 3
substituting c= 3 in 1st equation
p+c = 10
p+3 = 10
p = 7
therefore 3 pounds of cashews and 7 pounds of peanuts are needed to make the mixture
Answer:
870
Step-by-step explanation:
The angle we are focusing on is 45 degrees and we are given vaules/variables for the opposite and adjecent of the triangle. This means we use tangent. The opposite of the triangle is 870 and the adjacent is the unknown (x). The equation then simplifies to
tan(45)=870/x
tan(45)x=870
870/tan(45)=x
if you plug this into the caluclator you get 870.
Answer is 1/16 because if you look at 4, we can toss it 16 times by arranging in a different way .
