Mia and her children went into a bakery where they sell cupcakes for $2.75 each and brownies for $1.25 each. Mia has $30 to spend and must buy at least 14 cupcakes and brownies altogether. If xx represents the number of cupcakes purchased and yy represents the number of brownies purchased, write and solve a system of inequalities graphically and determine one possible solution.

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Select the sequences that are geometric.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?