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balu736 [363]
3 years ago
9

Help guysmake p da subject of the formula​

Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

p=\dfrac{m}{k-s}

Step-by-step explanation:

When they ask you to make a variable the "subject of the formula", they're basically asking you to build a "machine" for it. In the expression y=mx+b, for instance, if we know what m, x, and b are, we can plug them all in and out comes a value for y! To build that machine, we need to get it by itself on one side of the equation.

So, we want to build this machine for p, and the equation we have to build it out of is

1=\dfrac{pk}{m+sp}

One think we can immediately say about this equation: for a fraction to be equal to one, its numerator and denominator have to be equal to each other. So we can say

m+sp=pk

Ok, what next? Well, if we want p by itself, we need to somehow peel it off of that <em>sp</em> and <em>pk</em>. Let's collect them on the right side by subtracting <em>sp </em>from both sides:

m=pk-sp

p is a <em>common factor</em> of both <em>sp </em>and <em>pk</em>, so we can peel it away using the distributive property:

m=p(k-s)

And from here, we can divide both sides by k-s and we'll have p as our subject:

\dfrac{m}{k-s}=p or p=\dfrac{m}{k-s}

So if we know m, k, and s, we can easily solve for p. If m = 4, k = 2, and s = 0:

p=\frac{4}{2-0} =\frac{4}{2}=2

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3 years ago
How many 30 are there in 600
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The question that is asked is pretty straight forward. Only thing that needs to be found is the number of 30 in the number 600. By dividing 600 by 30 we can arrive at the desired result.
Number of 30 in 600 = 600/30
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Find the radius and the diameter to the nearest hundredth when C = 7π yd. Use 3.14 for π.
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Answer:

Diameter = 7

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Step-by-step explanation:

Hi! Ace here.

So, the formula to find circumference is dπ or 2rπ

So to find the diameter, you do the circumference/π

To find the radius, you'd do the circumference/2π

Plug-in those numbers and there you go!

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Answer: <em>81</em>

Step-by-step explanation:

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