Alyssa is preparing her grocery list for the week. she wants to have a smoothie for breakfast every day and plans on a total of 6 cups of smoothies made from frozen fruit puree and yogurt. knowing that fruit puree costs $2.00 per cup and yogurt costs $3 per cup, she budgets $14.00 for the ingredients. which system could alyssa’s roommate marni use to find x, the number of cups of fruit puree, and y, the number of cups of yogurt, alyssa plans to buy? x + y = 6 2x + 3y = 14 x + y = 6 3x + 2y = 14 6x + 2y = 14 2x + 3y = 6 x + y = 14 2x + 3y = 6

If t8 = 4 and t12 = −2, find the first three terms of the arithmetic sequence.

Suppose that a customer is purchasing a car. he conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. he conducts this experiment 15 times on each car and records the number of miles driven. full data set car 1 238238 216216 205205 212212 240240 274274 297297 252252 260260 247247 257257 243243 296296 243243 290290 car 2 245245 204204 215215 209209 251251 165165 221221 295295 172172 287287 268268 305305 320320 260260 297297 describe each data set, that is determine the shape, center, and spread. sample mean for car 1 x overbar equalsx=216216 mi / 10 gal (type an integer or decimal rounded to one decimal place as needed.) sample mean for car 2 x overbar equalsx=209209 mi / 10 gal (type an integer or decimal rounded to one decimal place as needed.)

Mr. piper is driving peter, roddy, and scott home from school. all of them want to ride in the front seat. how can he make a fair decision about who rides in the front seat?