Annabelle went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 30 grams of sugar and each bottle of juice has 10 grams of sugar. Annabelle purchased 3 times as many bottles of juice as bottles of soda and they all collectively contain 120 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased, x, x, and the number of bottles of juice purchased, yy.

Consider circle o, where and . m∠bpd °. °.

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

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