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

I need help please someone help

Answers

the answer is 14.
(7x+25)+(3x+15)=180
x=14

Can someone help me ASAP !?

Answers

Answer:

1/6

Step-by-step explanation:

2 is 1/6th of 12

5 is 1/6th of 30

Answer:

C.) 6

Step-by-step explanation:

I multiplied the number 2 by X and my sum was Y.

What is the correct formula for the following Arithmetic Sequence?
-4, -1, 2, 5, 8,…

Group of answer choices

an = 4 – 3(n – 1)


an = 4 + 3(n – 1)


an = -4 – 3(n – 1)


an = -4 + 3(n – 1)

Answers

Answer:

Concept: Arithmetic Sequence & Series

Notice the change is +3 for the first iteration and then +3 for the second iteration and so on You must represent it a series.Hence it must work for any nth variable So we have -4+3(n-1) Rate positively and give brainlist

The solution is, the correct formula for the following Arithmetic Sequence:  -4, -1, 2, 5, 8,…, is, an = -4 + 3(n – 1), the value of the n-th term.

We know that,

from Arithmetic Sequence & Series we get,

The nth term of AP : a_n = a + (n – 1) × d

where, a = first term

d = common difference,

Notice the change is +3 for the first iteration and then +3 for the second iteration and so on

i.e. here,

a = -4

d = +3

Hence it must work for any nth variable.

So we have -4+3(n-1)

Hence, we get, an = -4 + 3(n – 1).

To lean more on Arithmetic progression click:

brainly.com/question/28898589

#SPJ7

sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. an olympian ran the 100 meter dash in 9.6 seconds . how much faster was sarah the cheetah's speed.

Answers

Answer:

3.6477seconds

Step-by-step explanation:

Sarah the cheetah ran the 100 meters in 5.9523s. Subtract 5.9523 from 9.6

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?

Answers

Answer:

no

Step-by-step explanation:

here, f (x)=x^3 - 4x^2 + 3x + 7

when, factor is (x + 5)

x - a =x + 5

a = -5

Reminder= f (a)

= (-5)^3 - 4 (-5)^2 + 3×(-5) + 7

= -233

Since Reminder = -233 which is not 0 .

(x + 5) is not a factor of f (x)=x3-4x2+3x+7

What’s the measure for x

Answers

The answer is 35 degree
The answer for your question is 35 degrees!

Please help; with an explanation to these please

Answers

Answer:

Step-by-step explanation:

using supplementary angles we can fine that two angles of a straight line =180

128+?=180 ?=180-128=52

126+?=180 ?=180-126=54

all angles of a triangle add up to 180 degrees

180=52+54+?

94=?

180-94=x

106=x

(-8x + 2) + (-5x + 7)

Answers

Answer:

Step-by-step explanation:

(-8x + 2) + (-5x + 7)

-8x + 2 - 5x + 7

- 13x + 9

Hi guys how are you I am new to brainly I really need help please don’t wanna fail please help

Consider the equation 2(3x + 4) = ax + b
Part 1
Find one value for a and one value for b so that the equation has infinitely many solutions.

For the value of a you determined above what is the value for b so that the equation has infinitely many solutions

Support your answer. Explain your reasoning

Part 2
Find one value for a and one value for b so that the equation has no solution.

Find the value of a you determined above what is the value for b so that the equation has no solution.

Support your answer explain your reasoning.

Answers

Answer:

Let's solve for a.

2(3x+4)=ax+b

Step 1: Flip the equation.

ax+b=6x+8

Step 2: Add -b to both sides.

ax+b+−b=6x+8+−b

ax=−b+6x+8

Step 3: Divide both sides by x.

ax

x

=

−b+6x+8

x

a=

−b+6x+8

x

Step-by-step explanation:

7) Let the random variable X represent the amount of money Dan makes doing lawn care in a randomly selected week in the summerAssume that is Normal with mean $ 240 and standard deviation $60. the probability that in a randomly selected week, Dan will make less than $255 is :
A. 0.6
B. 0.7
C. 0.8
D.0.9
E. 1

Answers

Answer:

Option A. 0.6 is the right answer.

Step-by-step explanation:

Given information is:

Mean = $240

SD = $60

The probability of Dan making less than $255 has to be found.

Let x = 255

First of all, we will find the z-score of the given value

[tex]z = \frac{x-mean}{SD}\\z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]

Now the z-score table will be used to see the probability of less than 0.25

Using the z-score table, we get:

P(x<0.25) = 0.5987

As the answer choices are rounded off to one decimal place, we will round off our answer to one digit after the decimal point

0.5987 => 0.6

Hence,

Option A. 0.6 is the right answer.

Which number line best represents he solution to the inequality -18x +3 <48?

Answers

Answer: A

Step-by-step explanation:

Staar testtt

SOMEONE PLEASE HELP NOW ILL GIVE YOU A EAST 11 POINTS


What is the value of the expression 2106÷162?

Answers

Answer:

Hi

it will be 13

Which is the correct answer?

A. Function f is both even and odd

B. Function F is odd


C. Function f is neither even or odd


D. Function f is even




(Please explain your answer)​

Answers

Answer:

B. Function F is odd

Step-by-step explanation:

If a function is odd, then -f(x) = f(-x), for all values of x.

For such function an origin symmetry is obtained just like the image uploaded.

Also, for such function, there is an equal distance between f(x) and f(-x), just like the image uploaded (d₁ = d₂).

Thus, the correct option is "B"

The population of a town is 2100 and increasing at a rate of 1.3% per year, while the number of cats in the town is currently 1000 and increasing at a rate of 8% per year. Assuming this trend continues, estimate when the cat population will exceed the human population in this town.

Answers

Answer:

when # cats exceeds 2,313

Step-by-step explanation:

if you graph y = .013x + 2100 and y = .08 + 1000 you will see the lines intersect when the town population is 16,418 and the number of cats equals 2,313.

Help me please thank you so much if you did

Answers

Answer:

I just answed this question today!Your asnwer is 144.

Step-by-step explanation:

1:5:3

48 total.

Divide 48 and get 16

Multiply 16 x1

Multiply 16 x5

Multiply 16x 3

16:80:48

Please give the person above brainlest, and I hope you have a great day! Happy holidays!

In the context of a hypothesis test for two proportions, which of the following statements about the pooled sample proportion, , is/are true? I. It estimates the common value of p1 and p2 under the assumption of equal proportions. II. It is obtained by averaging the two sample proportions 1 and 2. III. It is equal to the proportion of successes in both samples combined.

Answers

Answer:

The statements that are true about a hypothesis test for two proportions are:

I. It estimates the common value of p1 and p2 under the assumption of equal proportions.

II. It is obtained by averaging the two sample proportions 1 and 2.

Step-by-step explanation:

We use the two sample proportion z-test to determine whether the proportions of the two groups differ. This test calculates the range of values that is likely to include the differences between the sample proportions of p1 and p2.

i hate school
AHHH im so depressed
;( im crying
omgggg i have a 59% in math
and a 78% in english
im gonna die
AHHHHHHHHHHHHHHHHH

Answers

its alright dude just gotta work hard and study i know you can do it


Pls help me find the answer!

Answers

Answer:

c) is the correct answer

Step-by-step explanation:

C is the correct answer

A restaurant sells coffee refill mugs for $5.75. Each refills
costs $1.50. Last month James spent $24.50 on mug and refill
Write an equation you can find the number of refills James bought.
Let, r, represent the number of refills.

Answers

12.5 refills
See work in attached picture

A researcher comparing the means of dependent samples consisting of 30 matched pairs and obtained a mean difference of 5 and a standard error of the mean difference of 2. The confidence interval for the mean difference was (1.6, 8.4). What confidence level was used in constructing the interval

Answers

Answer:

91.08%

Step-by-step explanation:

Confidence interval = (1.6, 8.4)

Sample size (n) = 30

Standard Error (E) = 2

Mean (m) = 5

The confidence interval is obtained using the relation :

Mean ± Zcritical * standard error

5 ± Zcritical * 2

5 - (Zcritical * 2) = 1.6

5 - 2Zcritical = 1.6

5 - 1.6 = 2Zcritical

3.4 = 2Zcritical

Zcritical = 3.4 / 2

Zcritical = 1.7

From Z probability calculator

P(Z < 1.7) = 0.044565

α = 1 - (0.044565 * 2) = 0.91087

0.91087 * 100% = 91.08% = 91%

Hence, confidence level = 91.08%

Samuel and Jill had 576 stamps in all. Samuel gave 1/7 of his stamps
to Jill. Then, Jill gave 1/4 of the total number of stamps she now had to
Samuel. In the end, both of them had the same number of stamps.
What was the difference in the number of stamps they each had at first?

Answers

Answer:

128

Step-by-step explanation:

Sam has X stamps.

Jill has (576-X) Stamps.

X-x/7 = 6x/7 = Sam's bal.

576-x + x/7 = 576 - 6x/7 = Jill's bal.

1/4(576-6x/7) = 144 - 6x/28

3/4(576-6x/7) = 432 - 9x/14 = Jill's new

bal.

6x/7 + 144-6x/28 = 144 + 24x/28-6x/28 =

144 + 9x/14 = Sam's new bal.

Jill's new bal = Sam's new bal

432 - 9x/14 = 144 + 9x/14

18x/14 = 144-432 = 288

18x = 4032

X = 224

576-X = 576-224 = 352.

Difference = 352 - 224= 128

What is the additive inverse of x-8. Pls help.

Answers

Answer:

[tex]8 - x[/tex]

Step-by-step explanation:

additive inverse means multiplying by -1

therefore :

[tex] - 1 \times (x - 8) \\ = - x + 8 \\ = 8 - x[/tex]

Jonas earns tips serving customers in a restaurant. He uses a certain method to correctly determine a tip of 20% of the cost of a meal. If c is the cost of a meal, which of the following can be the method Jonas uses?
A.
Move the decimal point two places to the right, and then double that amount.
B.
Move the decimal point one place to the right, and then double that amount.
C.
Move the decimal point two places to the left, and then double that amount.
D.
Move the decimal point one place to the left, and then double that amount.

Answers

Answer:

b

Step-by-step explanation:

2 3/8 x 1/2 PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

1 3/16

Step-by-step explanation:

Answer:

1.1875 or 1 3/16

Step-by-step explanation:

you just put it into a calculator

Sale
65% OFF!
What is the sale price of a grandfather clock originally priced at $120?

Answers

Answer:

the sale price is 42

Step-by-step explanation:

120-65% = 42

6
The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.

V=\pi r^2lV=πr
2
l

Solve for l in terms of V and r then find the length of a cylinder that has a volume of 1256 cubic inches and whose base has a radius of 7 inches. Round your answer to the nearest tenth of an inch; use 3.14 for π.

Answers

Answer:

8.2 in

Step-by-step explanation:

Volume formula:

V = πr²l

Solving for l:

l = V/(πr²)

Length of the given cylinder:

l = 1256/(π7²) = 1256/(3.14*49) = 8.2 in rounded

8.2 in is the correct answer to the question

6

The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.

V=\pi r^2lV=πr

2

what is the sum of the fractions?
3/8+1/6

Answers

Answer: It would be 13/24










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.

select all the expressions that are equivalent to 15n - 10

Answers

what r the expressions

Answer:

D

Step-by-step explanation:

PLEASE I NEED HELP BAD!! LOOK AT THE PHOTO!! I GIVE POINTS!!

Answers

Answer:

The system of equations is given as:

x ≥ $500

y ≥ $800

x + y ≤ 1600

20x + 30y ≥ 2800

Step-by-step explanation:

From the question

We are told that

x = Number of $20 seats

y = Number of $30 seats

$20 seats = At least $500 (greater than or equal to)

$30 seats = At least $800 (greater than or equal to)

You are designing a social hall that would seat no more than 1600 people

No more than means less than or equal to ≤ 1600 people

x + y ≤ 1600 people

Total revenue generated = At least $2800. This means ≥ (greater than or equal to).

20x + 30y ≥ $2800

The system of equations is given as:

x ≥ $500

y ≥ $800

x + y ≤ 1600

20x + 30y ≥ 2800

Option C is the correct Option.

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