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alukav5142 [94]
2 years ago
11

Farmer rusty nales has a total of 25 chickens and cows on his farm. How many of the aches animals does he have if all together t

here are 76 legs,
Write a system of equations for each equation
Solve using substitution or elimination
Mathematics
1 answer:
emmainna [20.7K]2 years ago
8 0

Answer:

13 cows, 12 chickens

Step-by-step explanation:

Total number of animals= 25

Total number of legs= 76

Let the number of cows be x and the number of chickens be y.

x +y= 25 -----(1)

Since each cow has 4 legs and each chicken has 2 legs,

4x +2y= 76 -----(2)

The second equation can be simplified by dividing both sides of the equation by 2:

2x +y= 38 -----(3)

Let's solve by elimination!

(3) -(1):

2x +y -(x +y)= 38 -25

Expand:

2x +y -x -y= 13

x= 13

Substitute x= 13 into (1):

13 +y= 25

y= 25 -13

y= 12

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A jar contains n nickels and d dimes there are 30 coins in the jar and the total value of the coins is $2.10 Set up and solve a
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Answer:

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Step-by-step explanation:

Equations given by word problem:

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How I solved them:

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If y varies inversely as x and y=23 when x=8 find y when x=4
valina [46]
<h2>INVERSE VARIATION</h2>

<em>E</em><em>Q</em><em>U</em><em>A</em><em>T</em><em>I</em><em>O</em><em>N</em><em>:</em><em> </em><em> </em><em> </em><em> </em>

y =  \frac{k}{x}

<em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em>

First, find the constant of variation <em>k</em> using the formula k=xy.

23 =  \frac{k}{8}

k = (8)(23)

k = 184

<em>–</em><em>–––––––</em>

Then, find <em>y</em> if <em>x</em> is equal to four using the formula y=184/x.

y =  \frac{184}{x}

y =  \frac{184}{4}

y = 46

<em>F</em><em>i</em><em>n</em><em>a</em><em>l</em><em> </em><em>A</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>:</em>

<h2>y = 46</h2>
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