A farmer must transport a fox, goose and bag of beans from one side of a river to
another using a boat which can only hold one item in addition to the farmer, subject to
the constraints that the fox cannot be left alone with the goose, and the goose cannot
be left alone with the beans. What is the fewest number of trips the farmer has to take
in order to transport all three safely to the other side of the river?
Show working using any appropriate mathematical representation(s)​

Answers

Answer 1

Answer:

The man in the goose cross the river, with the fox and the beans together, he leaves the goose on the other side and goes back across.

The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.

Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.

He returns to pick up the goose and heads back across the river one last time.

Step-by-step explanation:

Answer 2

Answer:

4 trips.

Step-by-step explanation:

The man and the goose across the river, leaving the fox and the beans together, he leaves the goose on the other side and goes back across.

The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.

Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.

He returns to pick up the goose and heads back across the river one last time.

#teamtrees #WAP (Water And Plant)


Related Questions

Can someone help with this ?

Answers

Answer: b=-12

Step-by-step explanation:

120/-10  = -12

-10b/-10 = b

b=-12

Answer:

b= -12

Step-by-step explanation:

you would divide -10 on both sides of the equation and get -12= b or b= -12.

The sum of two consecutive integers is 199. Find the integers

Answers

Here’s your answer. Hope this helped!!

The two consecutive integers will be 99 and 100.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The sum of two consecutive integers is 199.

Let the first number be x and the next consecutive number will be (x + 1). Then the equation will be

x + x + 1 = 199

2x = 199 - 1

2x = 198

x = 198 / 2

x = 99

Then the two consecutive integers will be 99 and 100.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.

Answers

Answer:

467

Step-by-step explanation:

18
Write an equation in POINT-SLOPE FORM for the line that has a slope of
1
5
and passes through (1,-2).

Answers

Answer: y = 1/5(x-1) -2

Point slope form looks like this:
y = m(x-x1) + y1

m = 1/5
x1 = 1
y1 = -2

Plug all of this into the formula and you should have your equation in point slope form.

help me answer these questions please 15, 19 and 20 please​

Answers

Answer:

15) K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]

19) P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]

20) Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)

Step-by-step explanation:

We are to find the derivative of the questions pointed out.

15) K(t) = 5(5^(t)) - 2(3^(t))

Using implicit differentiation, we have;

K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]

19) P(w) = 2e^(w) - (2^(w))/5

P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]

20) Q(W) = 3w^(-2) + w^(-2/5) - w^(¼)

Q'(w) = -6w^(-2 - 1) + (-2/5)w^(-2/5 - 1) - ¼w^(¼ - 1)

Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)

Need help with these following questions

Answers

Answer:

there are 13 of them brother from another mother

Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points

Answers

Answer:

A) ASA

the third angle is the common one

What is the major difference between mutual funds and certificates of deposit? How are mutual funds and certificates of deposit alike? What is the major difference in bonds and treasury notes, and which would you prefer as an investor? How are bonds, treasury notes, mutual funds alike?

Answers

Answer:

Mutual funds differ from CDs in a multitude of ways. Mutual funds are diversified portfolios of stocks and bonds managed by a financial advisor or broker. They typically offer substantially higher returns than CDs, and while they are riskier than CDs, they are not considered high risk investments.

can somebody please help me i’ll gift you 40 points

Answers

Answer:

B and D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

she got 35 is positive 35

she bought something for 15 and something for 7 is negative 15 and 7

she got 10 is positive 10

+35  +  (-15)  +  (-7)  +  10

35-15-7+10

what is the nth term for
- 2, 7, 22, 43​

Answers

Answer:

3n^2 - 5

Step-by-step explanation:

Find the area of this figure 115 ft 2 125 ft 2 60 ft 2 100 ft 2

Answers

Answer:

125

Step-by-step explanation:

divide the Figure into 3 parts

1 st = 5 X 10 =50

2nd = 5×10 =50

3rd = 5×5 = 25

total = 50+50 + 25 = 125

If the total value of the coins is 30¢, what is the missing coin?

Answers

Answer:

$70

Step-by-step explanation:

Michelle had 600 fish to feed the dolphins in a zoo. Each dolphins ate the same number of fish. There are 9 dolphins in all. How many fish did Michelle have left?​

Answers

Answer:

each dolphins eat 600÷9=66.67

Select the tables that show a proportional relationship between x and y.

Answers

Answer:

The table in blue

Step-by-step explanation:

Please help me I mark u brainiest like it and rate it five stars please help

Answers

Answer:

The 30, goes all the way down, in the empty spot by the 2, put in a 5, then below it a 10

Step-by-step explanation:

Answer:

30/ [5x2]

30/ 10=3

Step-by-step explanation:

3x+2=2x+7 what is x lol why I need 20 characters anyway help

Answers

Answer:

5

Step-by-step explanation:

3x-2x=7-2

x=5

According to a report in USA Today, more and more parents are helping their young adult children buy homes. You would like to construct a 90% confidence interval of the proportion of all young adults in Louisville, Kentucky, who received help from their parents in buying a home. How large a sample should you take so that the margin of error is no more than 0.06?

Answers

Answer:

The value is [tex]n = 188 [/tex]

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.06[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

  Generally will assume that the sample proportion young adults in Louisville, Kentucky, who received help from their parents in buying a home is  [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.645}{0.06 } ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>  [tex]n = 188 [/tex]

A project has the following projected outcomes in dollars: $230, $340, and $590. The probabilities of their outcomes are 25%, 55%, and 20% respectively. What is the expected value of these outcomes? $362.50 $347.50 $407.50 $377.50

Answers

Answer:

$362.5

Step-by-step explanation:

Given that :

x : _____ 230 ______340 ______ 590

P(x): ____0.25______0.55 _____ 0.20

To obtain the expected value E(x) of the outcome ; we can use the formula :

E(x) = Σ(x * P(x))

E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)

E(x) = 57.50 + 187 + 118

E(x) = 362.50

A car travels 53.6 miles in an hour.

if the car continues at the same speed for 19 hours, how many miles will it travel?​

Answers

Answer:

The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.

Step-by-step explanation:

Please help me thank you so much I appreciate it

Answers

Answer:

right  =86

left=94

Step-by-step explanation:

they should add up to 180 so,

6x+52+9x+23 =180

then solve for x

15x+75=180

subtract 75

15x=105

divide by 15

x=7 ,

the left side is

6(7)+52=

42+52=94

the right side

9(7)+23=

63+23=86

(please mark brainliest if correct)

1. What type of solutions would we get from the quadratic equation
f (x)= 3x2 + 8x + 2?

Answers

Answer:

Double root / x = -3

Step-by-step explanation:

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 15001500 hours and a mean life span of 16,00016,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 18,09918,099 hours.

Answers

Answer:

0.0809

Step-by-step explanation:

Given that :

Mean(m) = 16000

Standard deviation (s) = 1500

Probability that the life span of the monitor will be more than 18,099

P(x > 18099)

Using the Zscore formula :

Zscore =(x - m) / s

Zscore = (18099 - 16000) / 1500

Zscore = 2099 / 1500

Zscore = 1.399

P(Z > 1.399)

Using the Z probability calculator :

P(Z > 1.399) = 0.080906

= 0.0809

Permutations and Combinations : wake up cereal comes in 2 types, crispy and crunchy. If a researcher has 10 boxes of each, how many ways can he select three boxes of each for a quality control test?

Answers

Answer:

I'm pretty sure theres 11 ways

The Chapin Social Insight Test evaluates how accurately the subject appraises other people socially. In the reference population used to develop the test, scores are approximately normally distributed with mean 25 and standard deviation 5. The range of possible scores is 0 to 41. a) What proportion of subjects in the population will have scores above 31

Answers

Answer:

0.11507

Step-by-step explanation:

Given that:

Mean (m) = 25

Standard deviation = 5

Proportion of subject in the population with score above 31

P(x > 31)

Obtain the standardized score of x = 31

Zscore = (x - m) / s

Zscore = (31 - 25) / 5

Zscore = 6 / 5

Zscore = 1.2

Hence, p(Z > 1.2)

Using the Z probability calculator :

p(Z > 1.2) = 0.11507

A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month?

Answers

Answer:

The customer send and receive 15 GB of data during the month.

Step-by-step explanation:

Given;

Monthly charge for 6 GB of data = $67.95

Additional charge for each additional GB of data over 6 GB = $8.95

Bill received by the customer = $148.50

Therefore, we have:

Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55

Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB

Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB

Therefore, the customer send and receive 15 GB of data during the month.

find the measure of the line segment RQ​

Answers

Answer:  RQ = 48

===========================================

Work Shown:

RS*QS = (TS)^2

RS*(QR+RS) = (TS)^2

27*(5x-12+27) = (45)^2

27*(5x+15) = 2025

135x+405 = 2025

135x = 2025-405

135x = 1620

x = 1620/135

x = 12

Use this to find the length of QR, which is the same as RQ

QR = 5x-12

QR = 5*12-12

QR = 60-12

QR = 48

9514 1404 393

Answer:

  RQ = 48

Step-by-step explanation:

The product of secant segment lengths to the points of intersection with the circle is the same for both secants. The tangent is a degenerate case where the two points of intersection are the same.

  ST·ST = SR·SQ

  SQ = ST^2/SR = 45^2/27 = 75

  RQ = SQ -SR = 75 -27

  RQ = 48

2. Find the area of a quadrant of a circle whose circumference is 22 cm.​

Answers

Answer:

answer is 38.5 cm². Hope this helps

The total cost y is proportional to the number of used books x purchased at a constant price of $4. What equation represents this relationship?

Answers

Answer:

Y=x+4

If you think about it it's basically a addition problem.

With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes.With a significance level of 5 percent, test the claim that a single line causes lower variation among waiting times (shorter waiting times) for customers. Degrees of freedom test statistic pvalue accept or reject

Answers

Answer:

We reject H₀ we found that at 5% significance level the single file causes shorther waiting times

Step-by-step explanation:

We will develop a chi-square test since it is a standard deviation test.

Conditions for chi-square test

1.-Population follows a normal distribution

2.-We have a random sample

Therefore

Test Hypothesis

Null hypothesis                           H₀            σ   =  7,2

Alternative hypothesis               Hₐ            σ   <  7,2

So it is a one tailed-test to the left

Sample size      n  = 25

Then df  =  25 - 1      df  = 24

Significance level  α = 5%    α = 0,05

With   df = 24  and   α = 0,05  we find

Χ₀ = 36,415  

Computing  X(s)

X(s)  = ( n - 1 ) * σ² / (7,2)²

X(s)  =  24* (3,5)² / 51,84

X(s)  =  294/51,84

X(s)  =  5,67

Comparing     Χ₀     and      Χ(s)

X(s) <   Χ₀

So X(s) is in the rejection region and we reject H₀

f(x)=3x2-15. find x if f(x)=-3

Answers

Step-by-step explanation:

Given

f(x) = - 3

Now

f(x) = 3x² - 15

-3 = 3x² - 15

3x² = 15 - 3

3x² = 12

x² = 12/ 3

x² = 4

x = + 2

Therefore x = + 2.

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