Q: Manufacturing a tricycle requires three wheels and one tricycle frame. If you had 11 wheels and 4…
A: Please see the answer in step 2.
Q: The owner of an apartment building can rent all 40 apartments if she charges $1,600 per month, but…
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Q: Anon is making a wooden picture frame in the shape of a parallelogram. He has two pieces of wood…
A: The objective of the question is to determine the order in which Anon must connect the pieces of…
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A: Solution: From the given information, four hours to choose from seven hours.
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A: Let: Numer of chairs be cNumber of tables be tSelling price be SP It is given: SP of one…
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Q: MULTIPLE CHOICE You earn $18 per hour working as a manager at a convenience store. You are required…
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Q: After it's new expansion funded by donations from graduates of the MSDS program, Welsh-Ryan Arena…
A: The substitution method or the elimination method can be used to solve a system of equations. We…
Q: The product of three whole numbers is 120. How many different possibilities are there for the three…
A: We first find the prime factorization of 120. 120=2×2×2×3×5=23×3×5
Q: Brianna is organizing textbooks on her bookshelf. She has an English textbook, a math textbook, a…
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Q: State the concept of Row switching?
A: In a matrix, we can switch any two rows. The new matrix will be similar to the previous matrix. For…
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A: Project A has 4 ways to work on. Project B has 3 ways to work on. Project A and Project B are…
Q: ara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The…
A: Food = 378 Other = 567 Rent = 472 Fun = 283
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- A high school student needs 9 more classes to graduate. If she has met the prerequisites for all the classes, how many possible schedules for next semester could she make if she has 5 class periods to fill?Dr. Gurzick owns a computer store and is looking to determine an optimal amount of inventory. He sells laptops, pcs, and tablets. each laptop uses 1 processor, 1 hard drive, 3 sticks of ram, and 1 power supply. they sell for 300. each pc uses 2 processor, 2 hard drive, 3 sticks of ram, and 1 power supply. they sell for 500. each tablet uses 1 processor, 0 hard drives, 2 sticks of ram, and 1 power supply. they sell for 200. on hand I have 500 processors, 300 hard drives, 1000 sticks of ram, and 500 power supplies. Develop a linear programming model for this problem indicating what inventory should be selected to maximize profit by using excel.a) the school theatre production collected $1300 from the sale of 450 total tickets of type A and type B . The price of type A ticket was $2.50 and of type B was $3.50. How many tickets of type A and type B sold? b Three cases of white wine and 5 cases of red wine cost $438. Each case of the red wine sold for $6 less than twice a case of white wine. What was the price of a case of red wine and a case of white wine?
- Four men and a monkey spend the day gathering coconuts on a tropical island. After they have all gone to sleep at night, one of the men awakens and, not trusting the others, decides to take his share. He divides the coconuts into four equal piles, except for one remaining coconut, which he gives to the monkey. He then hides his share, puts the other piles together, and goes back to sleep. Each of the other men awakens during the night and does likewise, and every time there is one coconut left over for the monkey. In the morning all the men awake, divide what's left of the coconuts into four, and again there is one left over that is given to the monkey. Find the minimum number of coconuts that could have been in the original pile.5 Two hikers started at the same location. One traveled 2 miles east and then 1 mile north. The other traveled 1 mile west and then 3 miles south. At the end of their hikes, how many miles apart are the two hikers? [The use of the accompanying grid is optional.] OA manager of an oil refinery has 8 million barrels of crude oil A and 5 million barrels of crude oil B allocated for production during the coming month. These resources can be used to make either gasoline, which sells for $38 per barrel, or home heating oil, which sells for $33 per barrel. The three production processes have the characterstics in the pictured table. All quantities are in barrels. For example, with the first process, 3 barrels of crude A and5 barrels of crude B are used to produce 4 barrels of gasoline and 3 barrels of heating oil at a cost of $51. Formulate a linear programming problem that would help the manager maximize net revenue over the next month. Re-write this LP problem using matrix-vector notations. This problem is an example from lecture that was never solved.
- For each problem, show all work and explain your reasoning.(a) Does the overall configuration consider the order of the individual pieces of the configuration? (b) Count the number of different configurations for the prompt.1. Passwords of length seven containing distinct letters consisting of uppercase English lettersand/or lowercase English letters2. Committees consisting of four folks formed from the 11 Math faculty members3. Usernames of length six consisting of uppercase English letters, lowercase English letters,and/or numbers from 0–94. Election results from 6 Math 150 students for course president, vice president, and treasurer5. Phone numbers containing only odd numbers6. Social security numbers containing neither 8’s nor 9’s7. Ice cream sundaes consisting of three distinct flavors taken from ten total flavors8. Handfuls of five Skittles consisting of only “warm” colors from a jar containing 8 red, 11green, 7 yellow, 12 purple, and 13 orange9. Possible rolls from fair 6-sided,…A farmer has 165 acres of land suitable for cultivating crops A and B. He has enough seeds available to plant 110 acres of crop A and 115 acres of crop B. Each acre of crop A requires 18 hours of labor, and each acre of crop B requires 19 hours of labor. The farmer has at most 3420 hours of labor available. He expects to make a profit of 130 dollars per acre on crop A and 190 dollars per acre on crop B. How many acres should the farmer plant in order to maximize his profit? acres of crop A, and acres of crop B.Given that a is an arithmetic system, a1 = -9 and a5 =11, what is a75
- The table on the right shows the calories, sodium, and protein in one cup of various kinds of soup, How many cups of each kind of soup should be mixed together to produce 10 servings of soup, each of which provides 186 calories, 954 milligrams of sodium, and 13.2 grams of protein? What is the serving size (in cups)? Calories Sodium (mg) Protein (g) Chicken NoodleChicken & RiceChicken Rotini 100 130 520 730 7 9 110 530 8 To produce 10 servings of soup, each of which provides 186 calories, 954 milligrams of sodium, and 13.2 grams of protein, mix cups of Chicken Noodle, cups of Chicken & Rice, and cups of Chicken Rotini.b. Number of boys and girls in each block: Let's say you want to graph the number of boys and girls in each grade level in a school. You have five grade levels: kindergarten, first grade, second grade, third grade, and fourth grade. In kindergarten, there are 15 boys and 10 girls. In first grade, there are 20 boys and 18 girls. In second grade, there are 12 boys and 14 girls. In third grade, there are 16 boys and 20 girls. In fourth grade, there are 18 boys and 16 girls.Make an appropriate graph for this situation in EXCELShow the steps on how you made itAlonzo is doing research for the city newspaper on the six topics listed below. He can choose to write about some or none of these topics. He doesn't have time to write about all of them. Agriculture, Climate, Education, Food, Healthcare, Jobs In how many different ways can Alonzo choose the topics he will write about? (The order of the topics chosen doesn't matter.)
