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Mathematics, 12.04.2020 05:48 tainniyarowe

1 4 of Marianne’s height is equal to 2 5 of Jean-Luc’s height. Find the ratio of Marianne’s height to Jean-Luc’s height.

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Answers: 1
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Answer from: Quest

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step-by-step explanation:

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Answer from: Quest

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

 

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

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Answer from: Quest

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

 

let x = 1st integer

let y = 2nd integer

 

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

 

substitute 3y+17 in place of x n equation 2

and solve for y.

 

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

 

from quadratic equation:

 

y = [-17±√(172-4(3)(24))]/(2(3))

 

y = (-17 ±√1)/6

 

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

 

since we are dealing with

y = -3

 

x = 3y+17 = -9+17 = 8

 

the integers are -3, 8

step-by-step explanation:

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