Kelvin plans to buy potato chips and coke with $50. if he buys 3 packs of potato chips and 2 cans of coke, $9 will be left. if he buys 4 packs of potato chips and 5 cans of coke, he will need $21 more. find the prices of a pack of potato chips and a can of coke respectively.

Remmi wrote the equation of the line y=⅓(x+2) he solved for x and got x=3y-2 which of the following is an equivalent equation for x? a. x=y-11/3 b. x=y+7/3 c. x=3(y-⅔) d. x=3(y+⅔)

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

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?