Last option is the correct answer.
Step-by-step explanation:
Given that
Let x stand for the solution a and y stand for the solution B
So,
According to statement that
30 gallons have to be made
Solution A contains 29 percent bromine => 0.29x
Solution B contains 53 percent =>0.53y
And the mixture of 30 gallons contains 45% bromine
Following equations will be used for solving the problem
Hence,
Last option is the correct answer.
Keywords: Equations, Variables
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Answer:
150 mL
Step-by-step explanation:
We need a mixture that is at 50%, now we have 200 mL at 35% and another mixture that is at 70%, that is, we must calculate how much of this mixture is added, by the following equation
200 * 35% + x * 70% = 50% (x + 200)
70 + 0.7 * x = 0.5 * x + 100
0.7 * x - 0.5 * x = 100 - 70
0.2 * x = 30
x = 30 / 0.2
x = 150
150 mL must be added so that the mixture is 50%.
Answer:
9 months
Step-by-step explanation:
8 sculptures in 6 months is 1 sculpture in 0.75 months.
8/8=1
6/8=0.75
1×12=12
0.75×12=9
Arc length = (πrθ)/180 [r=radius, θ=central angle, π≈3.14]
arc length = (3.14 * 15 * 60)/180 = 3.14 * 5 = 15.7 cm
The answer would be 20,460,000
