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mariarad [96]
3 years ago
15

At the zoo you see 16 animals (ducks and pigs). There are a total of 52 animal feet on the ground. How many ducks are there? How

many pigs are there?
Write a system of linear equations that represent this situation.
Mathematics
1 answer:
nydimaria [60]3 years ago
4 0

Answer:

Step-by-step explanation:

P = pigs D = ducks

P + D = 17

P = 17 – D

4P + 2D = 50 because pigs have 4 feet

and ducks have 2 feet.

4(17 – D) + 2D = 50

68 – 4D + 2D = 50

.68 – 2D = 50

–2D = –18

D = 9

P = 17 – D

P = 17 – 9

9 = 17 – D

D = 8

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\bf \begin{cases}
(n^4)^p=n^{12}\to &n^{4\cdot p}=n^{12}\to 4p=12
\\
&\qquad \uparrow \\
&\textit{same bases, thus}\\
&\qquad \downarrow 
\\
n^3\cdot n^q=n^6\to &n^{3+q}=n^6\to 3+q=6
\end{cases}
\\\\\\
thus\implies 
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\\\\
3+q=6\implies q=6-3
\end{cases}
\\\\

\\\\
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