I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
Answer:
$638.4
Step-by-step explanation:
19% of 1120 = 212.8
212.8 x 3 = 638.4
The value of x is 28 .
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , three angles and three vertices.
According to the Proportionality Theorem
When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.
As in the given figure DC is parallel to AP ,
then RD : DP = RC:CA
42:15 = x: 10
42/15 = x / 10
x = 42 * 10 /15
x = 28
Therefore the value of x is 28 .
To know more about Triangle
brainly.com/question/2773823
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Answer:
w = V/lh
Step-by-step explanation:
The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.
volume of a rectangular prism,V = lwh
Where,
l = length of the base of the prism
w = width of the base of the prism
h = height of the prism
Rewrite the formula to find w
V = lwh
w = V/lh
That is,
width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism
