The difference in the total number of calories in a jar of peanut butter and a jar of jelly is 3,545. the sandwich that julio made contained a total of 430 calories from the peanut butter and jelly alone, which was 2/23 of the jar of peanut butter and 2/33 of the jar of jelly. which system of equations can be used to determine the total number of calories in the jar of peanut butter, x, and the total number of calories in the jar of jelly, y?
a. x-y=3545 and 2/23x+2/33y=430
b x-y=3545 and 2/33x+2/23y=430
c. x-y=3545 and 2/23x+2/33y=430
d. x-y=3545 and 2/33x+2/23y=430

Little’s law firm has just one lawyer. customers arrive randomly at an average rate of 6 per 8 hour workday. service times have a mean of 50 minutes and a standard deviation of 20 minutes. how long does a customer spend at little’s law firm on average?

Eric has challenged himself to walk 24,000 steps in 4 days. if eric walks the same number of steps each day, which function represents the number of steps eric still needs to walk to reach his goal with respect to the number of days since he started his challenge? a. y = 8,000x − 24,000 b. y = -8,000x + 24,000 c. y = 6,000x − 24,000 d. y = -6,000x + 24,000

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.