To solve this problem, let us first assign variables. Let
us say that:
x = volume of 67% herbicide solution
y = volume of 46% herbicide solution
The total volume should be 42 liters therefore:
x + y = 42
x = 42 – y --> 1
The component mass balance on the pure herbicide would
be:
0.67 x + 0.46 y = 0.55 (42) --> 2
Substituting equation 1 to 2:
0.67 (42 – y) + 0.46 y = 23.1
28.14 – 0.67 y + 0.46 y = 23.1
- 0.21 y = - 5.04
y = 24 L
Calculating for x using equation 1:
x = 42 – 24
x = 18 L
Therefore we only need 18 L of the 67% herbicide
solution.
Answer:
A. 18 L
Answer:
32
Step-by-step explanation:
First, one theorem states that (arc AB - arc AX) / 2 = angle ACB. We know that arc AB is 176, so we have
(176 - arc AX) /2 = ∠ACB
Next, the Inscribed Angle Theorem states that
arc AX/2 = ∠ABX
multiply both sides by 2
56 * 2 = arc AX = 112
Therefore, ∠ACB = (176-112)/2 = 64/2 = 32
Answer: 3/4 or 0.75
Step-by-step explanation:
Since Ernie wants to split the 3 bagels with himself, his wife, and his 2 kids, this means the 3 bagels will be divided among 4 people.
Therefore, the amount received by each person will be:
= 3/4
= 0.75
Each person gets 0.75 bagel.
