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

Help please!! Due today

Answers

Answer:answer is x=15=20

Step-by-step explanation:i did it before in class and got an A

PLEASE HELP.
True or False
The graph of an exponential function, y=ab^x produces an asymptote at the line y=0.

Answers

The answer is False , hope this helps

If one angle of a parallelogram is of measure 70

, find the measures of all the angles of the parallelogram.

Answers

Answer:

70, 110, 70, 110

Step-by-step explanation:

If one angle is 70 degrees, the opposite angle is also 70 degrees.  The 4 angles add to 360, 360 - 140 = 220. The 220 degrees are split 2 ways for the 2 angles, so they are each 110 degrees.

how many times longeris the perimeter of the shorter side?

Answers

Answer: Which shape are you talking about?

please help and show work


x= ​

Answers

Answer:

x = 7

Step-by-step explanation:

from the properties of an isosceles triangle, 5x+6 = y-9

so

98+2(5x+6) = 180

98+10x+12 = 180

110+10x = 180

10x = 70

x = 7

9) the formula for the volume
I of a cone is v= 1/3 TT r ² h
Solve the formula for the
height h

Please show your work!!!

Answers

Answer:

V=TTr²h

Step-by-step explanation:

Why?

Because you will v=TT r² h/3

so the answer is

v=TT h/3,r É R,h É R

That's my hardwork lick it brainliest and liked my hardwork please

Y+1=1/5(x-10)
Solve for y

Answers

Answer:

y = (x-10 / 5) - 1

Step-by-step explanation:

Hope this helps :)

Answer:

y=1/5x-3

Step-by-step explanation:

y+1=1/5(x-10)

y=-1 +1/5(x-10)

y= -1 +1/5x-2

y=1/5x-3

rationalize the denominator 4√2/4√5 ​

Answers

Answer:

answer given in the phot

Solve for x
1. x + 4x = 90

Answers

Answer:

First, you combine like terms.

Then, you divide both sides of the equation by the same term.

Next, you simplify.

Lastly, you have your solution, which is x= 18

Step-by-step explanation:

Hope this helps!

75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the school

Answers

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

What is the value of (2/3)2?

Answers

Answer:

2/3(2)

=(2/3)(2/1)

=(2*2)/(3*1)

=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

(2/3)2

(2/3)(2/1)=4/3

Bathing suits are on sale 80% off at Dillards. If I see a bathing suit marked down to $25, what was the original price of the bathing suit?

Answers

Answer:

i think 20

Step-by-step explanation:

the original price was $125 because you’re paying only 20% and 20% of 125 is 25

Shelby will take a total of 6 tests. On the first 5 tests, her scores were: 80, 85, 73, 78, 90. If she wants a mean grade of 80, what does Shelby have to score on her 6th test?

84
80
90
74

Answers

Answer:

74

Step-by-step explanation:

The mean of any set of numbers is simply the sum of the numbers divided by however many numbers you have. Because of this you can write the following equation

Mean = (sum of numbers)/(number of numbers)

Let's say that the missing test score is called x:

Mean = 80 = (80 + 85 + 73 + 78 + 90 + x)/6

80(6) = 80 + 85 + 73 + 78 + 90 + x

480 = 80 + 85 + 73 + 78 + 90 + x

x = 480 - 80 - 85 - 73 - 78 - 90

x = 74

Trevor is fishing from a small boat. His fishing hook is 8 meters below him, and a fish is swimming at the same depth as the hook, 5 meters away. How far away is Trevor from the fish? If necessary, round to the nearest tenth.

Answers

A ray from Trevor to the fish is the hypotenuse side of a right triangle  with

vertices at Trevor's position, the hook and the fish.

The distance from Trevor to the fish is approximately 9.4 meters.

Reasons:

The distance of the hook below Trevor, y = 8 meters

The horizontal distance of the fish from the hook, x = 5 meters

Required:

The distance of the fish from Trevor

Solution:

A line drawn from Trevor's position to the fish, h, then to the hook, x, and

then to Trevor, y, forms a right triangle with the distance from Trevor to the

fish being the hypotenuse side, h.

Therefore, by Pythagorean theorem, we have;

h² = y² + x²

Which gives;

h² = 8² + 5²

h = √(8² + 5²) = √(89 ≈ 9.4

The distance from Trevor to the fish given to the nearest tenth , d ≈ 9.4 meters

Learn more about Pythagorean theorem here:

https://brainly.com/question/18206420

estimate quotients using compatible numbers lesson 4.5 answer key

Answers

4 its the correct answer do it

Step-by-step explanation:

its correct



Help plzz I don’t get it

Answers

x intercept The x intercept is the point where the line crosses the x axis. At this point y = 0.

The map shows two walking trails in a park. Both paths end at the picnic area, located at C(6, 1). Trail A starts at A(−6, 6), and Trail B starts at B(−10, −11). If each unit on the map represents 0.5 mile, how many miles longer is Trail B than Trail A?

Answers

Answer:

12 miles

Step-by-step explanation:

because of slope

PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

angle is 90 degrees and i believe hypotenuse is 140

Answer:

Hypotenuse: 20√2

Acute Angle measurements: 45

Step-by-step explanation:

Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.

By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.

Note that the leg side measures 20. Multiply:

20 * √2 = 20√2.

Hypotenuse: 20√2

Acute Angle measurements: 45

3. Solve each equality or inequality:
a. |8x-6|= 0

Answers

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Find possibilities.

We know one possibility: 8x - 6 = 0. This is because 0 cannot be positive or negative.

Step 2: Solve possibility 1.

[tex]8x - 6 = 0[/tex] [tex]8x - 6 + 6 = 0 + 6[/tex] (Add 6 to both sides)[tex]8x = 6[/tex] [tex]\frac{8x}{8} =\frac{6}{8}[/tex] (Divide both sides by 8)[tex]x = \frac{3}{4}[/tex]

Therefore, x = 3/4.

Determine all the zeros of the function y = 3x^2 - 2x - 2

Answers

Answer:

A

Step-by-step explanation:

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the gym?

9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue

Answers

Answer: (15th street, 14th Avenue)

Step-by-step explanation:

Given the following :

Ping's residence = (3rd street, 6th Avenue)

Ari's residence = (21st street, 18th Avenue)

Gym location = 2/3 the distance of Ping's residence to Ari's residence

So, distance between Ping's home to Ari's home

Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)

Distance = (21 - 3) street, (18 - 6) avenue

Distance between ping and Ari = (18th , 12th )

Gym distance = 2/3 of distance between ping and Ari

Gym distance = 2/3 × (18), 2/3 ×(12)

Gym distance = (12, 8)

Gym location = Ping's location + gym distance

Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)

Gym location = (15th street, 14th Avenue)

Answer:

D

Step-by-step explanation:

cuz its right :0

Marty was renting a boat and wanted to get the best plan. Rental plan A charges a fee of
$50 plus $25 per hour. Plan B charges a fee of $10 plus $35 per hour.
Using systems of equations, answer the following questions. Show all your work.
Part A: Write a system of equations the represent the situation. (Be sure to identify the
variables.)

Answers

Answer:

?

Step-by-step explanation:

i'm sorry  i'm just trying to get points this is my test and i need to know the answer and then i found the " Add answer ( 5 points ) and it was like calling my name so i am here now...bye

The system of equations that represent the situation are as follows;

C = $50 + $25h

C = $10 + $35h.

According to the question;

Mary was trying to rent a boat and wanted to get the best plan.

Let C = Charged fees

and h = hours of rental

For Plan A:

Rental plan A charges a fee of$50 plus $25 per hour.

C = $50 + $25h

For Plan B:

Plan B charges a fee of $10 plus $35 per hour.

C = $10 + $35h.

Read more on rental charges;

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At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = âŚx⌉ equal? Check all that apply. â€""8 â€""5. 2 â€""1. 7 0 2. 4.

Answers

The x-values that will make the output values of the floor and ceiling functions equal are;

Option A: -8

Option D: 0

The complete question is;

At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.

A) –8

B) –5.2

C) –1.7

D) 0

E) 2.4

When it comes to floor functions and ceiling functions, they are always equal to each other when the x value is an integer.

Now, looking at the giving options the only integers we have are -8 and 0.

Thus, the only values in the options that would make the output values of the floor function and ceiling function equal are -8 and 0.

Read more on floor function and ceiling function at; https://brainly.com/question/7321190

what is the equation of the line that passes through the point (-6,6) and has a slope of -5/3?

Answers

Answer: The equation of the line that passes through the point (-6,6) and has a slope of -5/3 is y = -5/3x + -3.96.

Explanation:

y = 6, x = -6

By putting above values in equation (i)

6 = approximately -1.66 (-6) + b

6 = approximately 9.96 + b

approximately -3.96 = b

b = approximately -3.96

y = -5/3x + -3.96

The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?

Part A: Draw the pond and label what you know from the problem above.

Part B: What is the diameter of the pond?

Part C: How many seconds does it take the boat to get to the other side of the pond?

Answers

Step-by-step explanation:

See the photo let me know if you have a question

the table shows the daily temperatures for a city what is the mean absolute deviation for this data

A) 2
B) 10
C) 70
D) 71​

Answers

B is the answer if you look at the data the test gives you

Which number below is an integer but not a natural number?
A) -1/2
B) Square root of 8
C) -5
D) 72

Answers

Answer:

C) -5

Step-by-step explanation:

-5 is an integer but not a whole number or a natural number.

12/15 =10/13 true or false

Answers

Answer:

False.

Step-by-step explanation:

What property was used in step 1 to arrive at step 2?

Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.

Answers

Answer:

Distributive Property

Step-by-step explanation:

5(x - 7) = 55   ⇒   5x - 35 = 55

The 5 was distributed in 5(x-7) to get 5x - 35.

state if the triangles in each pair are similar, if so state how you know they are similar.

Answers

Answer:

Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.

Side PQ in triangle PQR = 16

Side MN in triangle LMN = 8

Therefore,

PQ/MN = 16/8 = 2

Side PR in triangle PQR = 14

Side LN in triangle LMN = 7

Therefore,

PR/LN = 14/7 = 2

Therefore, triangle PQR is similar to

triangle LMN because

1) the length of PQ is proportional to the length of MN.

2) the length of PR is proportional to the length of LN

3) angle P = angle N

4) Therefore, QR is also proportional to ML

Therefore,

PQ/MN = PR/LN = QR/ML = 2

Step-by-step explanation:

The pair of the first two triangles are not similar triangles, while the pair of the next two triangles are similar triangles.

What are similar triangles?

If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.

As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.

A.) In the first pair of triangles,

For the first pair of triangles to be similar,

[tex]\dfrac{US}{UD}=\dfrac{UT}{UE}=\dfrac{ST}{DE}[/tex]

The above ratio should be similar, but since we can see that the ratio,

[tex]\dfrac{US}{UD}\neq \dfrac{UT}{UE}[/tex]

[tex]\dfrac{39}{16}\neq \dfrac{40}{16}[/tex]

As we can see that the ratio of the sides of the triangle is not the same therefore, the two of the given triangles are not similar triangles.

B.) In the second pair of triangles,

For the second pair of triangles to be similar,

[tex]\dfrac{AB}{HG}=\dfrac{BC}{GF}=\dfrac{CA}{FH}[/tex]

The above ratio should be similar, and as we can see that the ratio,

[tex]\dfrac{72}{12}=\dfrac{48}{8}=\dfrac{84}{14} =6[/tex]

As we can see that the ratio of the sides of the triangle is the same therefore, the two of the given triangles are similar triangles.

Learn more about Similar Triangles:

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