The Kuiper Belt is estimated to be about 3,000,000
1 answer:
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<u>ANSWER: </u>
110ML of 35% acid solution must be mixed with 10ML of 95% solution to obtain 120ML of 40% solution.
<u>SOLUTION: </u>
First, set up table. fill in the unknowns with variables x and y. The table is attached below.
From the table shown below, we can easily set up the two equations.
Sum of values of two acids = Value of mixture
0.35x + 0.95y = 48
For convenience, we will multiply the entire equation by 100,
35 x + 95y = 4800 ------ (1)
Now, Sum of amounts of each acid = Amount of mixture
x + y = 120 --------- (2)
Multiply eqn 2 with 35 for easy calculation and derive the equation into one variable.
35 = 35x + 35y = 4200
Subtracting equation (2) from (1), we get
0 + 60y = 600
Thus, 60y = 600
Substituting y = 10 in (2),
35x + 35(10) = 4200
35x + 350 = 4200
35x = 4200 - 350
35x = 3850
So, we have x = 110 and y = 10
We can conclude that 110ML of 35% acid solution must be mixed with 10ML of 95% solution to obtain 120 ML of 40% solution.
Answer: LAST OPTION
Step-by-step explanation:
The formula for calculate the volume of a cone is:
Where r is the radius and h is the height.
The formula for calculate the volume of a cylinder is:
Where r is the radius and h is the height.
As you can see, the difference between the the formulas is that <em>r²hπ</em> of the cone is divided by 3. Therefore, if you know the volume of the cone and you know that cylinder has the same base and height as the cone, you have to multiply the volume of the cone by 3.
Therefore, the result is: