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- Solve the given problem completely. Show your solution. In a dance crew with 32 members, 9 are are part of unit A, 10 are in unit B, and 6 performs solo. 3 members of unit A are also in unit B. Two solo performers are also in unit A:. 2 members of unit B are also solo performers. Only 1 member of the crew is part of all units. If units A and B will merge, how many members will there be in all?This is not the correct solution. Is there another solution avaliable for this problem?has just completed her second semester in college. She earned a grade of D in her 4-hour discrete math course, a grade of D in her 5-hour economics course, a grade of A in her 1-hour engineering course, and a grade of A in her 4-hour creative writing course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Susan's grade-point average for the semester.
- Patty has just completed her second semester in college. She earned a grade of A in her 1-hour discrete math course, a grade of A in her 4-hour sociology course, a grade of A in her 4-hour biology course, and a grade of C in her 2-hour creative writing course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Patty's grade-point average for the semester. ..... Patty's grade point average is (Round to two decimal places as needed.)Formulate but do not solve the problem.In a survey of 1000 adults aged 18 and older, the following question was posed: "Are other travelers' online reviews trustworthy?" The participants were asked to answer "yes," "no," or "not sure." The survey revealed that 310 answered "no" or "not sure." It also showed that the number of those who answered "yes" exceeded the number of those who answered "no" by 470. What percentage of respondents answered "yes," "no," and "not sure"? (Let x represent the number of respondents who answered "yes", y represent the number of respondents who answered "no", and z represent the number of respondents who answered "not sure".) ___ = 1000 ___ = 310 ___ = 470Solve the given problem completely. Show your solution. In a dance crew with 32 members, 9 are are part of unit A, 10 are in unit B, and 6 performs solo. 3 members of unit A are also in unit B. Two solo performers are also in unit A:. 2 members of unit B are also solo performers. Only 1 member of the crew is part of all units. How many crew members belong in only 1 unit?
- Internet Audience At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that zu = x + y = and xy + zu = 44. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo Google 3(x - y) + 8 50 + z + uFormulate but do not solve the problem.In a survey of 1000 adults aged 18 and older, the following question was posed: "Are other travelers' online reviews trustworthy?" The participants were asked to answer "yes," "no," or "not sure." The survey revealed that 330 answered "no" or "not sure." It also showed that the number of those who answered "yes" exceeded the number of those who answered "no" by 410. What percentage of respondents answered "yes," "no," and "not sure"? (Let x represent the number of respondents who answered "yes", y represent the number of respondents who answered "no", and z represent the number of respondents who answered "not sure".) = 1000 = 330 = 410Solve the given problem completely. Show your solution. In a dance crew with 32 members, 9 are are part of unit A, 10 are in unit B, and 6 performs solo. 3 members of unit A are also in unit B. Two solo performers are also in unit A:. 2 members of unit B are also solo performers. Only 1 member of the crew is part of all units. How many crew members are in unit A but not in B?
- 2. You have some coins, each of which is a penny (1 cent), a nickel (5 cents), a dime (10 cents), or a quarter (25 cents). You know that • you have twice as many pennies as nickels, • the number of dimes is one more than the number of pennies and nickels combined, you have 34 coins in total, • and the total value of your coins is $2.70 (270 cents). (a) Set up a system of linear equations for the numbers of pennies, nickels, dimes, and quarters you have. (b) Determine how many coins of each type you have, by solving the system from part (a).Change this LP problem (e.g., money, time, or number of batches), so that it has at least two whole number solutions: A bakery makes both chocolate cakes and almond cookies. Each batch of cakes requires 2hours in the oven and 3hours into decorating room. Each batch of cookies requires 1hour and 30 minutes in the oven and 30 minutes into the decorating room. The oven is available no more than 15hours per day, and the decorating room can be used no more than 13hours per day. The Daily profit from production of one batch of cakes is $50 and one batch of cookies is $15. How Many batches of cakes and cookies should be produced daily in order to maximize bakery's profit?1.1 Albert, Brandon, Chuck, Darwin, and Earl all entered the primary to seek election to the city council. Albert received 2000 more votes than Brandon and 4000 less than Chuck. Earl received 2000 votes less than Darwin and 5000 votes more than Brandon. In what order did each person finish in the balloting? 1.2 Aside from setting up equations, what problem solving strategy can be applied in the problem? 2.1 Beth, Jane and Mitzi play on the basketball team. Their positions are forward, center, and guard. Beth and the guard bought a milk shake for Mitzi. Beth is not the forward. Who plays each position? 2.2 What problem solving strategy can be applied in the problem?
