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3 years ago

7

Mrs. Johnson buys 2 chickens. The average weight of the 2 chickens is 4 pounds. One of the chickens is 2 pounds heavier. What is

the weight of the heaviest chicken?

2 answers:

Valentin [98]3 years ago

6 0

4 pounds would be the weight of the heaviest

e-lub [12.9K]3 years ago

4 0

6 pounds because if its two pounds heavier and the average is 4 then its 4 +2

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3 years ago

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rosijanka [135]

Answer:

16

Step-by-step explanation:

To solve this equation, we need the formula for perfect squares:

$(a + b)^2 = a^2 + 2ab + b^2$

or

$(a - b)^2 = a^2 - 2ab + b^2$ <em>this is the formula we will use because the signs match the one in the question</em>.

Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.

Work:

$(v - x)^2 = v^2 -8v + x^2$

this is the setup for being able to solve for the unknown $x$ , now we need to solve for $x$ .

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$(v - x) (v - x) = v^2 - 8v + x^2$

multiply the left side. Remember that your answer will not be $v^2 + x^2$ , but $v^2 - 2vx +x^2$ .

$v^2 - 2vx + x^2 = v^2 + 8v + x^2$

Divide like terms and isolate the variable. In this case, $v^2$ and $x^2$ are on both sides, so dive them and they will be canceled out.

$2vx = 8v$

divide by $2v$ and you will have your value for $x$ .

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Now we plug $x$ into our original equation equation for perfect squares.

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Fynjy0 [20]

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Step-by-step explanation:

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3 years ago

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myrzilka [38]

Answer:

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The first term is -1. Each term is 1 less than the previous. These equations say that.

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