Sophia started with 25 pieces of gum and gave away x pieces. maria started with 75 pieces of gum and gave away twice as many. how many pieces of gum did sophie gave away if they had the same number of pieces of gum left

x = 50

Step-by-step explanation:

Pieces of gum given by Sophia = x

Pieces of gum left with Sophia after giving x pieces = 25 - x

Pieces of gum given by Maria = 2 × Gums given by Sophia = 2x

Pieces of gum left with Maria after giving 2x pieces = 75 - 2x

Pieces of gum left with Sophia = Pieces of gum left with Maria

25 - x = 75 - 2x

2x - x = 75 - 25

x = 50

Pieces of gum left with Sophia is 50.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

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