Answer:
The baker should buy a minimum of
8.5 cups of flour and a maximum of 12.8 cups of flour
Step-by-step explanation:
Answer:
c = 34/d
d = 1/2
Step-by-step explanation:
Part A
Basic Formula
c = k/d
17 = k/2 Multiply both sides by 2
17*2 = k*2/2 Combine
34 = k
So the equation is c = 34/d
Part B
c = 68
k = 34
d = ?
68 = 34/d Multiply both sides by d
68*d = 34 * d/d Simplify.
68 d = 34 Divide by 68
d = 34/68 Simplify
d = 1/2
174 is the missing number
S = d/t
st = d
t = d/s
The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4
The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.
t1 = 16/(9 + c)
t2 = 16/(9 - c)
t1 + t2 = 16/(9 + c) + 16/(9 - c)
4 = 16/(9 - c) + 16/(9 + c)
1 = 4/(9 - c) + 4/(9 + c)
(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)
81 - c^2 = 36 - 4c + 36 + 4c
81 - c^2 = 72
c^2 = 9
c^2 - 9 = 0
(c + 3)(c - 3) = 0
c + 3 = 0 or c - 3 = 0
c = -3 or c = 3
We discard the negative answer, and we get c = 3.
The speed of the current is 3 mph.
