three guards were protecting an orchard. A third met the guards,one after the other,To each guard he gave half of the apples he has at the time and two extra . Eventually he escaped with just one apple. How many apples did the thief take? Fellow up questions for extension. What if he had 2 left? 3 left? 4 left?​

Answers

Answer 1

Answer:

The thief stole 36 apples originally.

Step-by-step explanation:

The thief left the orchard with 1 apple.

which means:

​∴  before meeting the 3rd watchman, he must have had ​=6 apples.

​∴  before meeting the 2nd watchman, he must have had ​=16 apples.

​∴  before meeting the 1st watchman, he must have had ​=36 apples.

​(1+2)×2

​(6+2)×2

​(16+2)×2

​​

So, the thief stole 36 apples originally.

Answer 2

Answer:

The thief took 36 apples.

Step-by-step explanation:

This problem can be solved from end to beginning.

The thief ends up with a single apple. This happed after he gave half of the apples he had and two extra apples.

Thus, adding two apples 1+2=3 and doubling the result, the thief had 3*2=6 apples when he met the last guard.

Before that, he gave 2 apples to the second guard, thus he had 6+2=8 apples. Doubling it 8*2=16 is the number of apples he had when met the second guard.

Doing this again, 16+2=18. 18*2=36.

The thief took 36 apples.

Gave 18+2=20 to the first guard. He had 36-20=16 now.

Gave 8+2=10 to the second guard. He had 16-10=6 now.

Gave 3+2=5 to the third guard and got away with just one apple


Related Questions

b) The ratio 3:5 can be written in the form 1:n
Choose n from the following.
a 5/3
b 1/5
c 3/5
d 1/3​

Answers

Answer:

Answer: a 5/3

Step-by-step explanation:

Ratios as Fractions

The ratio 3:5 can be expressed as the fraction

[tex]\frac{3}{5}[/tex]

If we wanted to express the ratio in the form 1:n, we can manipulate the fraction in such a way that it has the number 1 in the numerator.

Dividing numerator and denominator by 3:

[tex]\displaystyle \frac{\frac{3}{3}}{\frac{5}{3}}[/tex]

Simplifying:

[tex]\displaystyle \frac{1}{\frac{5}{3}}[/tex]

Thus, the fraction represents the ratio:

[tex]1:(\frac{5}{3})[/tex]

[tex]Thus, n=\frac{5}{3}[/tex]

Answer: a 5/3

Line B crosses through the points (3,1) and (-3,-1). Using those two points, find the slope of line B.

Answers

The slope of line B is 2/6. Attached below is my work. Hope you score a ^w^

In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS​

Answers

Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60

A soccer team sell three items for a fundraising the table shows the total sales for three item the team get to keep 1 dollars for every $10 day make in total sales .how much money will the team get to keep
Hats 196
Tshirt 504
Sweatshirt 420

Answers

Answer:

696589

Step-by-step explanation:

Answer:

Step-by-step explanation:

I Need help too! Please help as quick as you can

- {(-2, 6), (2.0), (3,6), (4, -1), (5,3)} is it a function​

Answers

yes because none of the x’s are the same

What is the center of the circle shown below?
А
ОА. В
ОВ. АВ
в
ос. А
OD. Y

Answers

Answer:

A

Step-by-step explanation:

the answer is A with the letter B next to it

The center of the circle is B.

What is Center of Circle?

A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

The location of a moving point on a plane such that its separation from a stationary point on the plane remains constant or fixed is described as a circle.

A circle is a two-dimensional form characterised by its centre and radius. If we know the centre and radius of a circle, we can draw it. There are an endless number of radii for a circle. A circle's centre is the point at which all of its radii meet. It is also known as the middle of the circle's diameter.

When we are given a circle and must locate its centre.When a circle's equation is supplied and we need to get the coordinates of its centre.

From the figure the equidistant point from the surface of the circle is  B.

Learn more about Centre of Circle here:

https://brainly.com/question/11878555

#SPJ7

Write the hypothesis and conclusion of this statement .

If the sun is out, then we will go to the beach.

Answers

Answer:

Hypothesis - the sun is out

Conclusion - we will go to the beach

Step-by-step explanation:

Hypothesis: the sun is out
Statement: we will go to the beach

Help quickly as possible thank you :) ​

Answers

Answer:

50/100 and .50

Step-by-step explanation:

Answer:

you can write it like 1/2 I don't know the other one sorty

I WILL GIVE BRAINLIEST
Given the function: f(x)= 3x+6. What is the inverse function of f(x)?
The picture above provides the answer choices and the function given.

Answers

Answer:

Concept: Inverse Functions

We want the inverse of a root function which is x^1/2 Now we combine that result to get [tex] {f}^{ - 1} (x) = \frac{ { x }^{2} }{3} - 2[/tex]Rate brainlist

What is h? even if you can just tell me how to find it would be helpful!

Answers

Answer:

possibly 5?

Step-by-step explanation:

But can you plzzz help me with my latest question

Select the correct answer. What is this expression in simplified form? (√22)(5√2) A. 10√11 B. 12√11 c. 20√11 D. 24√11​

Answers

Answer:

A. 10[tex]\sqrt 11[/tex]

Step-by-step explanation:

Just took the test and got it right! Hope this helps!

The simplified form of expression is  [tex]10\sqrt{11}[/tex].

What is an expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Given expression

[tex](\sqrt{22})(5\sqrt{2})[/tex]

= [tex](\sqrt{22} )(\sqrt{25}) (\sqrt{2} )[/tex]

The expression is in the form of [tex]\sqrt{x} .\sqrt{y} .\sqrt{z} =\sqrt{x.y.z}[/tex]

= [tex]\sqrt{22.(25).(2)}[/tex]

= [tex]\sqrt{11.(2).(25).(2)}[/tex]

= [tex]\sqrt{11.(100)}[/tex]

= [tex]\sqrt{100} .\sqrt{11}[/tex]

= [tex]10\sqrt{11}[/tex]

The simplified form of expression is  [tex]10\sqrt{11}[/tex].

Find out more information about expression here

https://brainly.com/question/14961928

#SPJ3

Solve the equation for x. 3x = 15​

Answers

Answer:

x=5

Step-by-step explanation:

15/3=5 or 5x3=15

Answer:

So divide each term by -3 and simplify the answerr x=5

Step-by-step explanation:

Select the expressions that are equivalent to 34

Answers

Answer:

81 9^2

Step-by-step explanation:

3•3= 9

3•3=9

9•9=81

and 9•9=81

The question is below thanks

Answers

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

[tex]2r[/tex]π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]

Substitute in the given information and solve;

[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]

arc = [tex]\frac{41}{180}*14pi[/tex]

arc = [tex]\frac{287}{90}*pi[/tex]

arc ~ 10.02

Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help

Answers

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)

2. angle KLP = 3x, so

3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. 5 gives 4x = 108, so x = 27

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

ngl i didnt really get this i i kinda have a some what idea on what this is

The exterior angles of the triangle added to their corresponding interior angles equal 180 degrees by virtue of the sum of angles on a straight line.

As such the interior angles are

1. 180 - (x+ 3)

2. 180 - (2x+ 1)

3. 180 - (3x - 4)

Given that the sum of angles in a triangle is 180 degrees

180 - (x+ 3) +  180 - (2x+ 1) + 180 - (3x - 4) = 180

540 - 6x = 180

6x = 540 - 180

6x = 360

x = 60

The exterior angles are

x + 3 = 60 + 3 = 63

2x + 1 = 2(60) + 1 = 121

and

3x - 4 = 3(60) - 4 = 180  - 4 = 176

Find the indicated term of the arithmetic sequence.

22nd term: a1 = 4; d = 4

The 22nd term of the arithmetic sequence is:
.

Answers

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

plz give brainliest

What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answers

Answer:

x576 567 871 12 135 35l4367 89

Answer:

210cm

Step-by-step explanation:

54+66+30+42+18=210cm^2

Is this true or false? 0 < -2

Answers

Answer:

this is false

Step-by-step explanation:

-2 is accually greater than 2

so, for this to be correct it would have to be:

[tex]0 > - 2[/tex]

PLEASE HELP :( I WILL GIVE BRAINLIEST ANYTHING

Answers

Answer:

Incline plane 4

Step-by-step explanation:

Andre divides some stickers evenly among 5 people. Each person receives 8 stickers with none left over. Which equation can be used to determine the
number of stickers, s, Andre had?

Answers

Answer:

multiplication

Step-by-step explanation:

5x8=40

Answer:

If you mean which equation with variables can be used it is s/5 = 8

Step-by-step explanation:

15 lb 7 oz - 6 lb 8 oz

Answers

Answer: 8.5lbs 7 oz

Step-by-step explanation:

8oz=.5lbs

15lbs 7oz-6.5lbs=

8.5lbs 7 oz

Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time

Answers

Answer:

n = 8

Step-by-step explanation:

Initial point: (1, -2)

Final point: y = x

Blue light translation:

4 units right, 5 units downNumber of translations = n

Red light translation:

1 unit left, 4 units upNumber of translations = 15

Final point is going to be:

x = 1 + 4n - 15*1 = 4n - 14y = -2 - 5n + 15*4 = -5n + 58

Since the coordinates of final point are same, we have:

4n - 14 = -5n + 584n + 5n = 58 + 149n = 72n = 72/9n = 8

Can someone help with this Problem? It is about Evaluating expressions using properties of exponents. Would help a lot. Attachment below

Answers

9514 1404 393

Answer:

  1/192

Step-by-step explanation:

The properties of exponents useful here are ...

  a^0 = 1 . . . . for a ≠ 0

  a^-b = 1/a^b

__

  [tex]4^{-2}\cdot 12^{-1}\cdot 12^0=\dfrac{1}{4^2}\cdot\dfrac{1}{12}\cdot 1\\\\=\dfrac{1}{16\cdot12}=\boxed{\dfrac{1}{192}}[/tex]

PLEASE HELP! WILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

Answer:

1,3,4

Step-by-step explanation:

vincent has cut three pieces of rope to complete a science project

Answers

Answer:                            

Cool______________________________________________

Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?

Answers

Answer:

.........................

Answer:

200

Step-by-step explanation:

she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200

HELP PLEASE THIS IS DUE TODAY 50 POINTS

Answers

Answer:

the answer is x over -2 × 14

Answer:-2,2 -7,7 -14,14 0,0

Step-by-step explanation:im not really good at this but i tried and i oped it worked

Find the number of subset and number of proper subset from A=(5,6,7,8)

Answers

Step-by-step explanation:

The number of subsets=2ⁿ where n=4 members

2ⁿ=2⁴=16

Number of proper subsets=2ⁿ-1

16-1=15

If the slope is -2 and the y-intercept is -5, then the linear equation is y = -2x - 5.
True
False

Answers

Answer:

True

Step-by-step explanation:

y = mx + b,

where m = slope and b = y-intercept.

You have m = -2 and b = -5, so you get

y = -2x - 5

Answer: True

Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td

Answers

Answer:
B) E = 2t + 2d

Explanation:
t and d are being multiplied by 2 for the amount of work done by each.
Other Questions
which expression best describes the graph? help. if Brian has 3 apples, and it is noon, how many times did the color brown lose its color? help Find XY and YZ. X:-14, Y:-4.1, Z:17.3 Is there anyone else who has siblings that don't get in trouble for the same stuff you got in trouble for. I swear-someone better relate so that I can be less mad. Or like when he does get in trouble, afterwards everyone treats him normally but when I GET IN TROUBLE, I get the silent treatment for WEEKS. I just don't understand... The slope of the line passing through the points (7, 5) and (21, 15) is____.How do I find the slope? something student learn about theirself this year? Gas forming bacteria in the gallbladder appear on ultrasound as. a. Dilated round shape. b. Nonshadowing echogenic mass. C. Localized dilation. d. Bright echo with a comet tail or ring down artifact. if the polynomial p(X)=x-2x+x-1 is divided by (X+1), then the degree of quotient polynomial.a) 1. b)3. c) 4 d)2 how does the octet rule predict the stability or reactivity of atoms. Did the New Deal effectively provide relief to Americans during the Great Depression? Historians and economists still disagree over the answer to this question. Read the four articles provided here to learn more about both sides of the argument. Determine your viewpointon this topic and develop a claim.Write an essay to present an argument that either accepts or rejects the claim that the New Deal effectively provided relief during theGreat Depression. Your argument should include a clear claim, logical reasons, and accurate data and other relevant evidence. It shouldalso include, and rebut, a counterclaim.WILL MARK BRAINLIEST 2 tenths= ? Hundredths Guess dis answer and u smartz Who is the artist, and what is the title of the piece below?Felipe the Second offers Prince Fernando to an angel of Victory. A man is tied up on the floor.a.Allegory of the Battle of Lepantes; El Grecob.Allegory of the Battle of Lepanto; Titianc.Story of the Battle of Lepantan; Raphaeld.none of the above Is The Pamlico Sound a potable water source ? If so , Why ? help plz i need itttttttttttttt At which point is the object not moving?ABCDAll of these.None of these. In the sentence below, match the each word with the kind of connotation it would give.positive negative neutral The reef _____ beneath the surface Which pair of events are independent of each other? A. getting an even number on the first and second roll of the die B. selecting an ace from a deck of cards, and then drawing another ace without replacing the first C. drawing a ball from a bag, and then drawing another ball without replacing the first D. drawing a red paperclip from a bag of paperclips, and then drawing another red paperclip without replacing the firstPLZ HELP AND HURRY Which sentence BEST explains how the poster's metaphor, "Food Is Ammunition," is meant to affect its target audience?The answer is D Which of the following situations is an example of kinetic energy being transformed into potential energy? Throwing a ball high into the air Dropping a ball from a ladder Rolling a ball on the ground Holding a ball in the air without moving it