The equation d= -6t + 10 represents the distance d, in miles. Ralph walks from the library to his house in t hours. His sister, Joan leaves the library after Ralph. She rides her bicycle from the library to their house at a constant rate. The equation d= 14t represents Jonás bicycle ride where d is the distance, in miles, and t is the time, in hours. After how many miles will Joan meet Ralph walking to their house
A. 2.5 miles
B. 7 miles
C.18 miles
D. 28 miles

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Problem situation: caren is making rice and beans. she can spend no more than $10 on ingredients. she buys one bag of rice for $4.99. beans cost $0.74 per pound. how many pounds of beans, x, can she buy? inequality that represents this situation: 10≥4.99+0.74x drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. which method should jeremy use?