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Goryan [66]
3 years ago
13

PLEASE HELP ASAP!!! 7TH GRADE MATH

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

answer is $330

Step-by-step explanation:

If you are ever dealing with percentages always put them into a decimal itll make things a lot easier

how you do that is 55/100 which is 0.55

then just multiply by the original number  

0.55 times 600 which is 330

hope this helped

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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
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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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