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aliina [53]
3 years ago
11

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pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Mathematics
1 answer:
likoan [24]3 years ago
8 0
I think it’s an regular because it looks like an rectangle
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When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation
Radda [10]
<h3><u>Question:</u></h3>

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?

xpmy=8

xy/pm=8

xpm/y=0.5

x/pmy=0.5

<h3><u>Answer:</u></h3>

The equation models the situation is \frac{x y}{p m}=8

<h3><u>Solution:</u></h3>

Given that  

x is 2, y is 4, p is 0.5, and m is 2

x varies directly with the product of p and m

x varies inversely with y

\text {Product of } p \text { and } m=p \times m=p m

x varies directly with the product of p and m

=>x \propto p m ---- eqn 1

As x varies inversely with y,

=>x \propto \frac{1}{y}   ----- eqn 2

From (1) and 2, we can say that

x \propto \frac{p m}{y}

\Rightarrow x=k \frac{p m}{y}

where k is constant of proportionality

\Rightarrow \frac{x y}{p m}=k   ---- eqn 3

On substituting given values of x = 2, y = 4, p = 0.5 and m= 2 in eqn (3) we get

\frac{x y}{p m}=\frac{2 \times 4}{0.5 \times 2}=k

\begin{array}{l}{\frac{x y}{p m}=\frac{8}{1}=k} \\\\ {=>\frac{x y}{p m}=8}\end{array}

Hence correct option is second that is \frac{x y}{p m}=8

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