Answer:
Step-by-step explanation:
Let x represent the amount of 4% solution and y represent the amount of 10% solution.
⇒ x + y = 100 ..................(1)
x liters of the 4% solution gives us the expression 0.04·x
y liters of the 10% solution gives us the expression 0.10·y
100 L of the 8% solution gives us 0.08 × (100) = 8
⇒ 0.04·x + 0.10·y = 8 ...........(2)
This gives us the system of equations (1) and (2)
To solve this, we will use substitution.
Substituting x = 100 - y from equation (1) into equation (2). We get,
Substitute this value of y into the first equation:
The length of the two pieces is given: 10 and x-2.
The two pieces' lengths tally up to 2x-3.
So, if we put the pieces together, we must obtain the total:
So, GF is x-2, i.e. 11-2=9
Answer:
x = 77/2
Step-by-step explanation:
Solve for x:
4 x - (2 x)/3 - 3 x - 5 - 3/2 - 4/3 = 5
Put each term in 4 x - (2 x)/3 - 3 x - 5 - 3/2 - 4/3 over the common denominator 6: 4 x - (2 x)/3 - 3 x - 5 - 3/2 - 4/3 = (24 x)/6 - (4 x)/6 - (18 x)/6 - 30/6 - 9/6 - 8/6:
(24 x)/6 - (4 x)/6 - (18 x)/6 - 30/6 - 9/6 - 8/6 = 5
(24 x)/6 - (4 x)/6 - (18 x)/6 - 30/6 - 9/6 - 8/6 = (24 x - 4 x - 18 x - 30 - 9 - 8)/6:
(24 x - 4 x - 18 x - 30 - 9 - 8)/6 = 5
Grouping like terms, 24 x - 4 x - 18 x - 30 - 9 - 8 = (24 x - 4 x - 18 x) + (-9 - 30 - 8):
((24 x - 4 x - 18 x) + (-9 - 30 - 8))/6 = 5
24 x - 4 x - 18 x = 2 x:
(2 x + (-9 - 30 - 8))/6 = 5
-9 - 30 - 8 = -47:
(2 x + -47)/6 = 5
Multiply both sides of (2 x - 47)/6 = 5 by 6:
(6 (2 x - 47))/6 = 6×5
(6 (2 x - 47))/6 = 6/6×(2 x - 47) = 2 x - 47:
2 x - 47 = 6×5
6×5 = 30:
2 x - 47 = 30
Add 47 to both sides:
2 x + (47 - 47) = 47 + 30
47 - 47 = 0:
2 x = 30 + 47
30 + 47 = 77:
2 x = 77
Divide both sides of 2 x = 77 by 2:
(2 x)/2 = 77/2
2/2 = 1:
Answer: x = 77/2
Answer:
6,2
Step-by-step explanation:
