Answer:
30 gallons of 20% acid solution should be mixed.
Step-by-step explanation:
Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.
Therefore, final volume of the solution will be (x + 30) gallons.
Now concept to solve this question is
20%.(x) + 40%.(30) = 30%.(x + 30)
0.20(x) + 0.40(30) = 0.30(x + 30)
0.20x + 12 = 0.30x + 9
0.30x - 0.20x = 12 - 9
.10x = 3
x = 
x = 30 gallons
Therefore, 30 gallons of the 20% acid solution should be mixed.
38 meters long is the answer
Answer:
x = 1
Step-by-step explanation:
3(x + 6) -5 = 16
You want to first add the 5 (*flipping the sign) over to the 16
making your equation ...
3(x +6) = 21
Then you want to distribute the 3 to x and 6
making you equation
3x + 18 = 21
Then you want to subtract the 18 (*flipping the sign) to the right side
making the equation....
3x = 3
Lastly, divide the 3 on the left to the 3 on the right making the answer 1
x = 1
Answer:
17.5
Step-by-step explanation:
The following data were obtained from the question:
Angle R = 105°
Side R = r
Side S = 15
Side T = 6
The value of r can be obtained by using cosine rule formula as shown below:
inding sides:
r² = s²+ t² – 2st cos(R)
r² = 15² + 6² – 2 × 15 × 6 × cos105°
r² = 225 + 36 – 180 × cos105°
r² = 261 + 46.587
r² = 307.587
Take the square root of both side
r = √307.587
r = 17.5
Therefore, the value of r is 17.5
The formula is
A=p (1+r)^t
A future value?
P present value 25000
R interest rate 0.03
T time 9 years
A=25,000×(1+0.03)^(9)
A=32,619.33
