There is a row of 15 trees in a garden. Starting from the first tree, a gardener marked every second tree, then, on his way back, he marked the first tree, and then every third tree. How many trees are left without a mark?

Answers

Answer 1

Answer:2

Step-by-step explanation:

15/3 = 5

15/2 = 7.5

+1

= 13

15 - 13 = 2

Answer 2
Answer:  5

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

Explanation:

The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.

The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.

Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.

Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}

We see that the following trees aren't marked: {2,6,8,12,14}

There are  5   items in that last set.

Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.


Related Questions

Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 and 4 m 2 2 m.

Answers

Answer:

Step-by-step explanation:

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

D) 5m + 3 and 4m + 2 + 2m

For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

3(1) + 4 = 7

Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

3(4) + 4 = 16

Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; https://brainly.com/question/4344214

What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2

Answers

Answer:

x = 4

Step-by-step explanation:

Use elimination method.

-----------------

3x + 5y = 10

-(1x + 5y) = -1(2)

-1x -5y = -2

------Simiplify------

2x = 8

x = 4

Find the perimeter of both ( they have the same perimeter)

Answers

Answer:

x=2

Step-by-step explanation:

6x+3+2x+1+4x=12x+4

5x+5x+3x+2=13x+2

12x+4=13x+2

4-2=13x-12x

2=x

There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?

Answers

19 students did their hw

last month nick spent $50 this month he spent 60% of last month how much did nick spend

Answers

Answer:

Nick spent $30.00.

Step-by-step explanation:

60% of $50.00

60% ÷ 100 = 0.6

0.6 x 50 = 30

Answer:

30$

Step-by-step explanation:

last month nick spent $50 this month he spent 60% of last month how much did nick spend?

50 : 100 * 60 =

0.5 * 60 = 30$

9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2

Answers

Answer:

9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4

3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)

ANSWER: x = -2 ; y = -4
Ok done. Thank to me :>

A scale of a model has a scale of 1:360.

A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?

B How many times the length of the model is the length of the actual stadium

Answers

Answer:

120 yards,360 feet's of length and 53 1/3 yards,160 feet of width

how do you evaluate?

Answers

We evaluate an algebraic expression by the determination of an unknown variable.

Evaluation is a systematic method used in solving most algebraic expressions in mathematics.

Let assume that we have a given algebraic expression where y is expressed in terms of x and;

y = 2x + 5    where (x = 4)

Here, y and x are the variables;

y = 2(4) + 5

y = 8 + 5

y = 13

Learn more about how to evaluate algebraic expressions here:

https://brainly.com/question/4344214

9x + 1 = -26 what is the value of x

Answers

x would be -3.
hops this helps mark me brainlist

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for x ~

[tex] \sf9x + 1 = - 26[/tex]

[tex] \sf9x = - 26 - 1[/tex]

[tex] \sf x = - 27 \div 9[/tex]

[tex] \sf x = - 3[/tex]

Hence, value of x is -3

please help me What is the mode of the data shown in this stem-and-leaf plot?

Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21

Enter your answer as a number, like this: 42 and explain your answer

Answers

Answer:  24

Explanation:

The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.

In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.

The mode is 24.

*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)

(solve using substitution method. MUST SHOW WORK)

Answers

There are 23 sharks and 7 octopi in the aquarium

Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y

If the total number of animals in the tank is 30, therefore;

x + y = 30 ....................... 1

If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:

5x + 8y = 171 ................ 2

From equation 1, x = 30 - y ................... 3

Substitute equation 3 into 2 to have:

5(30-y) + 8y = 171

150 - 5y + 8y = 171

3y = 171 - 150

3y = 21

y = 7

Recall that x = 30 - y

x = 30 - 7

x = 23

Hence there are 23 sharks and 7 octopi in the aquarium

Learn more on simultaneous equation here: https://brainly.com/question/148035

PLease help ................................................................

Answers

Answer:

if it is an a or  b  B is the best answer but if it a true of false. the answer is true

Step-by-step explanation:

Find the perimeter and area of a rectangle with the sides 3 3/10 meters and 6 2/3 meters

QUICKK

pls say area AND perimeter

Answers

Area = 22
Perimeter = 19
Hope this helps!

Shania bought a $1,455 drum set on an installment plan. The Installment agreement included a 15% down payment and 18 monthly payments of $80.78 each

a. How much is the down payment

b. What is the total amount of the monthly payments?

c. What is the total cost of the plan?

d. What is the finance charge?

Answers

Cost Price=$1455
Down Payment=15% of $1455

a.Down Payment=(15/100)*1444=$218.25

b.Total amount of the monthly payment=$80.78*18=$1454.04

c.Total cost of the plan=$1454.04+$218.25=$1672.29

d.Finance charge=$1672.29-$1455=$217.29

The down payment will be $218.25, the total amount of the monthly payments is $1454.04.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Shania bought a $1,455 drum set on an installment plan.

The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each

Down Payment = (15/100)x1444

= $218.25

The total amount of the monthly payment = $80.78x18

= $1454.04

Total cost of the plan = $1454.04 + $218.25

= $1672.29

Finance charge = $1672.29 - $1455

= $217.29

Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Walter can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additional cards with each package of cardstock he buys. If Walter buys 6 packages of cardstock, how many cards can he make in all?

Answers

Answer:

dsde

Step-by-step explanation:

Which rule was used to create the input/output?

Answers

The answer should be A i think

Answer:

B. y = -4x

Step-by-step explanation:

input x in the possible answers

y = -4x

-4(2) = 8

-4(1) = -4

-4(-3) = 12

-4(-5) = 20

what is 5^12 divided by 5^3 simplified

Answers

Answer: 1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

F(x) = 3x2+ 6x - 18 find f (10)

Answers

Answer:

f(10) = 342

Step-by-step explanation:

f(x) = 3x² + 6x - 18

f(10 = 3(10)² + 6(10) - 18

f(10) = 3(100) + 60 - 18

f(10) = 300 + 60 - 18

f(10) = 360 - 18

f(10) = 342

A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?

Answers

Answer:

8.8

Step-by-step explanation:

First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.

Hope This Helps:)

Answer: 8.8

Step-by-step explanation:

In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 23 hours. How long would it be, to
the nearest tenth of an hour, until there are 10500 bacteria present?

Answers

Answer: x = 22.7

Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500

Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300

Reduce the fraction:2 x/23 = 105/53

Convert exponential to logarithm form: x/23 = long^2 105/53

Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23

Rewrite the expression: x = 23 long^2 105/53

Round the number: x = 22.7

Answer: x = 22.7

ASAP

Please show working out I will give out brainiest :)

Answers

the answer is B



gusts bc f d b v sbbdjdbhdbdhdhbdndhd
The answer should be (B) if not sorry

Y+2= 1/3(x+6)
Solve for y

Answers

Answer:

y = 1/3x

Step-by-step explanation:

Alright, so we have an equation with two variables (y and x) and I need to solve for y in terms of x. That is, I need to isolate y one one side with all the other terms on the other side.

First, let's distribute the 1/3 on the right side of the equation onto the x and 6 inside the parentheses.

y + 2 = 1/3(x + 6)

y + 2 = 1/3(x) + 1/3(6)

y + 2 = 1/3x + 2

Now, let's isolate y on the left side by removing 2 from both sides.

y + 2 = 1/3x + 2

y + 2 - 2 = 1/3x + 2 - 2

y = 1/3x

So, y is equal to 1/3x. Hopefully that's helpful! :)

Could someone help. Please show work

Answers

Answer:

x=-2  and y=5

x=-1 and y=4

Step-by-step explanation:

hope tha work

Satoko has 30 tokens to spend at an arcade. The three lines represent the cost of playing Satoko's three
favorite games for various numbers of times.

Answers

Answer:

KOF

Step-by-step explanation:

Khan Academy

Trust me

Answer:

KOF

Step-by-step explanation:

Khan academy

I need help plz asp

Answers

9

Step-by-step explanation:

woody is 5

buzz is 3

mr potato head is 3

rex is 7

alien is 1

Please write a equation for this table

Answers

Answer:

  y = 5x +2

Step-by-step explanation:

The point (0, 2) tells us the y-intercept is 2.

If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...

  6, 30

  -2, -10

  0, 0

  10, 50

We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.

  y = 5x +2

Leticia reads the temperature of a solution in a lab experiment. The temperature of the solution is 6.1ºF. After 6 hours, she reads the temperature of the solution again. The temperature of the solution is now −1.7°F. Leticia plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.

Answers

Answer:

1.4F. When you add 3.1 to -1.7 you get 14F

Answer:

1.4 is the answer  

Step-by-step explanation: Hey I didn't get an A on my test but i got this one right

Identify the horizontal asymptote of f(x) = 4 x over 7. Y = 0 y = 4 over 7 y = 7 over 4 No horizontal asymptote.

Answers

The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4

Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.

From the given function, the expression at the numerator is 4x.

h(x) = 4x

For instance, if we have a function y = ax, the variables of the function are x and y and the coefficient is "a"

Similarly for the expression h(x) = 4x, the coefficient of the expression is 4

Learn more on horizontal asymptote here: https://brainly.com/question/21678319

Answer: C

Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation

Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.

Answers

Answer: By using the rounding rule.

Step-by-step explanation:

387 x 397 => 387.4

384 x 352 => 387.4

Triangle JKL is similar to triangle MNO. Find the measure of side MN. Round your answer to the nearest tenth if necessary.

Answers

Answer:

I believe the answer is 47. Forgive me if I'm wrong

Other Questions
Which descriptions would you use with the verb ser? alto/a triste deprimido guapo/a Question 1(Multiple Choice Worth 4 points)(01.01 MC)Which of the following was a result of the protests at Gallaudet University?OI. King Jordan became the first Deaf president of Gallaudet University, replacing a hearing president.Alexander Graham Bell led the charge against signing in schools.The football huddle was invented by Gallaudet University.The Library of Congress inducted the Preservation of the Sign Language into its film registry.PLEASE HELP please help me with problem with clear explanation Which statement describes a homogeneous catalyst?It is in a gaseous phase only.It is in the same phase as the reactants.It is completely consumed by reactants.It forms different products than the uncatalyzed reaction forms. Can yall please help me answer this, this My last question Proteins are synthesized based on genetic information carried by DNA. Explain In youre own words how the structure of DNA is important in thesynthasis of different kinds of proteins, In your explanation, include a description of the two main processes involved inprotein synthesis. Although all organelles of the eukaryotic cell interact with each other within the cell to maintain homeostasis, the mitochondrion has a unique evolutionary history. It is proposed that this organelle originated as an engulfed aerobic bacterial cell that lived in a symbiotic relationship with its host cell. This explanation for the origin of the mitochondria can be supported by multiple lines of evidence. Select ALL statements that could provide accurate support for the theory of endosymbiosis as it relates to the mitochondrion. A) Mitochondria have multiple membrane layers. B) Mitochondria are the largest and most numerous organelle in the cell. C) Mitochondria have their own ribosomes separate from the ribosomes in the cell. D) Mitochondria have their own DNA that resembles the circular chromosome of bacteria. Eliminate E) Mitochondria have the ability to control when the cell undergoes mitosis or exits the cell cycle. Byron earns $11. 00 per hour. How many hours will byron have to work to earn $143. 00? 7. 7 hours 13. 0 hours 14. 3 hours 15. 7 hours. If A is the center of the circle which of these is the radii Two same-sized triangular prisms are attached to a rectangular prism as shown below.If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?a 1,208 square centimetersb 1,592 square centimetersc 1,004 square centimetersd 1,400 square centimeters Questions 78: Answer the following questions based on your reading assignment.Why should you include and refute counterclaims when writing an argument?Identify the logical fallacies presented in the following statements:Because this toothpaste made my teeth whiter, it should make everyones teeth whiter.Ever since I started wearing my lucky socks to practice, weve won every game. The socks must be responsible.The Avengers must be a good movie; everyone loves it. at what rate of simple interest will 4400 amount to 5610 in 5 years 6 months What did Thomas Jefferson and the anti-federalists require before they 2 pointsagreed to ratify the Constitution?Article 4 of the ConstitutionBill of RightsPreamble to the ConstitutionAmended Articles of Confederatioin 400+5 please help me Which statement best explains why these siblings are genetically different from each other? How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring? what will happen to a person who doesn't recognize authors and even citing proper sources? What is falling action in a story?the end of the story, when all problems are solveda series of occurrences that unfold after the climaxthe introduction of the setting and the main charactersa conflict in which characters face their opposition how did the automobile impact education? what is the answer, A, B, D, or E? Please Let me know????