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2 years ago

A duck weighs 3 1/2 pounds.

Mathematics

2 answers:

bogdanovich [222]2 years ago

8 0

Answer:

56 oz

Step-by-step explanation:

Hope This Helped

Pls give brainlyest :)

sineoko [7]2 years ago

6 0

56 oz

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

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3 years ago

Which step in the proof has a flow?

Dmitry [639]

Answer:

Reason 2

Step-by-step explanation:

The reason should be transitive property( if a=b and b=c then a=c) not reflective property.

7 0

2 years ago

Help Its due in 3 mins I will give brainliest

I am Lyosha [343]

Answer:

144 yd^2

Step-by-step explanation:

(9x12)+(6x6)

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2 years ago

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An aquarium tank is 3 feet long 1 foot wide and 2 feet high how many gallons of water would it take to fill the tank two thirds

m_a_m_a [10]

Answer: i believe it'll take 6 gallons to fill up the tank two thirds full

Step-by-step explanation: 3 x 1 x 2 = 6 gallons

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2 years ago

Finf the diffrence write your answer in simplest form 2/7+2/5

Fed [463]

The difference (the answer of a subtraction problem) is:
2/7 - 2/5 --> 10/35 - 14/35 = -4/35

The answer sum (the answer of an addition problem) is:
2/7 + 2/5 --> 10/35 + 14/35 = 24/35

Hope this helps.

4 0

3 years ago

A duck weighs​ 3 1/2 ​pounds.

A duck weighs 3 1/2 pounds.