Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is
40(12%) + x(30%) = (40 + x)(20%)
With the percents as decimals:
40(0.12) + x(0.3) = (40 + x)(0.2)
Simplifying, we have:
4.8 + 0.3x = 8 + 0.2x
Collecting the x terms on one side and the constants on the other:
0.1x = 3.2
And multiplying both sides by 10 to find x:
x = 32
So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
A sector is the area bounded by two radii and the included arc.
To calculate for the area of the sector, you’ll use the formula A=n/360(pi)(radius)
.
The n in the formula refers to the measure of the central angle in degrees.
The given data in the problem is in radians, convert it by multiplying 1.25 by
.
Now input the converted value to the formula of finding the area of the sector.<span>
</span>
Answer:
<h2>
Therefore the length of a side of a cube is </h2>
Step-by-step explanation:
The volume of a cube is expressed as L³ where L is the length of each side of the cube.
Given volume of a cube = 64in³
On substituting;
64 = L³
Taking the cube root of both sides to determine L we have;
Therefore the length of a side of a cube is
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