Using Polya's four step There are ducks and pigs in a farm. Together, there are 35 heads and 100 legs. Assuming that each duck has exactly two legs and each pig has exactly four legs, how many are the ducks and the pigs in the field?

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A: a. The diagram is as follows where ABCD is the cardboard with length AB and AD as its width and…

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A: The total amount of work needed to finish the job is 700 person-hours.

Q: 11,000 dollars is invested into two account, one at 8% and the other at 4.5%. How much must be…

A: Let amount invested in 1st account = $ x Amount invested in 2nd account = $ (11000-x) Interest on…

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: For this problem, assume there are 9 adjacent seats in a row. How many different ways can 9 people…

A: 9! = 9*8*7*6*5*4*3*2*1 = 362880

Q: (a) Suppose that there were 11 candy bars in the box. Given that Bob did homework for a total of 54…

A: a). Total number of hours spent on homework: 54+243+703=1000 minutes Number of candy bars=10…

Q: 2. A brick staircase has a total of 30 steps. The bottom step requires 100 bricks. Each Successive…

A: A brick staircase has a total of 30 steps. The bottom step requires 100 bricks. Each successive step…

Q: . Bricks are stacked in 20 rows such that each row has a fixed number of bricks more than the row…

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Q: . A and B can do a piece of work in 18 days; Band C can do it in 24 days A and C can do it in 36…

A: We have to find that ,in how many days A,B and C finish the work together and separately.

Q: Q.1. A student has to answer 10 questions, choosing at least 4 from each of Parts A and B. If there…

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Q: Ben makes two sizes of kites out of paper and wood strips. Each large kite uses 8 square feet of…

A: given that large kite uses 8 square feet of paper and 3 feet of wood strip small kite uses 2 square…

Q: A company has 10 different warehouses for storing their inventory. They will be storing 100…

A: Given:-             A company has 10 different warehouses for storing their inventory. They will be…

Q: Four blocks are need to build and​ up-down-up staircase with 2 steps up and 2 steps down.…

A: One block is needed to make an​ up-down-up staircase with one step up and one step down.…

Q: Q5: In a group of 10 students there are 4 girls. A committee of 6 students to be created with a…

A:

Q: Use the formula for nPr to solve, A club with ten members is to choose three officers—president,…

A: Known facts: Prn=n!n-r!   Given that A club with ten members is to choose three officers—president,…

Q: A baseball team won two out of their last four games. In how many different orders could they have…

A: A baseball team won two out of their last four games. The objective is to find out in how many…

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Q: At the market, Pablo plans to buy 6 kinds of food from 6 different stalls: fish, cheese, olive oil,…

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Q: A snail is at the bottom of a 20 foot deep well. Each day it climbs up 4 feet, and each night it…

A: snail is at the bottom of a 20 foot deep well. Each day it climbs up 4 feet, and each night it…

Q: Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.   In an…

A: In an apartment complex, there are 5 windows in each apartment, and 9 apartments on each floor. How…

Q: Use the formula for nPr to solve:A club with ten members is to choose three officers—president, vice…

A: To find how many ways are there to fill the officers. Prn= n!(n-r)!

Q: It takes a pump 10 minutes to move 55 liters of water up the hill.Using the same pump under the same…

A: We need to find the amount of water move in 22 minutes

Q: You are on a farm that raises cows and chickens. If there are 20 animals total, and the animals have…

A: Number of 4 feeted(cows)animals =                                                        ( L - 2H )…

Q: Aida, Lorna, and Fe can do a piece of work in 2 2/3 days when they work together. They can finish…

A: Let the work done by Aida in a day be M, Work done by Lorna in a day be N, and work done by Fe in a…

Q: Mr Lim's monthly salary is $2500. Every month, he spends a certain amount of money and saves the…

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Q: Adam can do a piece of work in 10 days. After he has worked 2 days, Eve came to help him and…

A: Adam can complete the work in 10 days. So, the work done by him in a day is 110. Consider the work…

Q: Five balls needs to be placed in three boxes. Each box can hold all the five balls. In how many ways…

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Q: A recreation center holds a game every saturday. The team agreed there should be no less than 5…

A: A mathematical statement, which states that two expressions are not equal is called an inequation…

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Q: he capacity of an elevator is either 25 children or 19 adults. If 6 children are currently in the​…

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Q: The digits 1, 2, 3 and 4 can be arranged to form different four-digit codes. a. Find the number of…

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Q: When the full season tickets first went on sale, 4,000 Full Season tickets sold for Section N. Two…

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Q: Use Polya’s four-step problem-solving strategy and the problem-solving procedures presented in this…

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Q: culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a…

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Q: How far can you get away from your little brother with the squirt gun filled with paint if you can…

A: Givenspeed=2m/sand time of travel=4susing the formula,distance=speed×time

Q: een 4 toys and each of the other 2 Q. Find the number of ways that 4 people can sit in (i) a row of…

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: One hour after a bacteria colony starts growing, a scientist determines that there are 9000 bacteria…

A: find the explanation below

Q: A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be…

A: .

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Q: A person buys 28 bottles of orange juice for a party. The store clerk offers cardboard carrying…

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Q: Certain bacteria cells are being observed in an experiment. The population triples in 1 hour. If at…

A: Given: At the end of 3 hours, the population is 27000.

Q: One custodian cleans a suite of offices in 4 hours. When a second worker is asked to join the…

A: Define x as the number of hours taken by the second worker to do the same job alone. The regular…

Q: Amare worked twice as many hours as Jing. Together, Amare and Jing worked a total of 27 hours. How…

A: See below the answer and calculation below

Q: In the classroom of Mr. Morales, the desks are organized in equal rows. mary sits in the desk that…

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