Gonna upvote
translate each real-world situations into a multi-step equation. solve the equation, showing all steps to solve the equation. then write an explanation of the answer to the problem.

1. you and your friend are shopping for painting supplies. your friend wants five bottles of paint and one set of paint brushes. you want seven bottles of paint and two sets of paint brushes. each bottle of paint costs $3.69. if you and your friend’s total cost is $51.69, what is the cost of one set of paint brushes?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

The lengths of the two sides of a right triangle are 5 inches and 8 inches what is the difference the possible lengths of the third side of the triangle

A11 gram sample of a substance that’s used to treat thyroid disorders has a k-value of 0.1247