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

у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2

Answers

What grade are u in?

After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1,200

$

1,200

for hotel costs. They want to stay 6

6

nights at a hotel. In addition, they know they should plan to pay $240

$

240

in taxes and tips. Let c

c

represent the total cost per night they should plan for the hotel.


What is the solution to the equation that represents this situation?

Answers

Answer:

The equation will be. c= 1200 / 240 + 6 = 440. C=440 (I don't know if this is correct)


PLEASE HELP
Solve for x

Answers

Answer:

you get 32

Step-by-step explanation:

what is the value of the expression 5 + 6 x (5 - 2) + 9

Answers

i believe its 18x + 14

Math is multi-cultural, analytical, timeless and hands-on. Provide a piece of mathematical concept, hypothesis, law, paradox, rule or theorem to prove this statement.

Answers

It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.

Mathematics is multicultural and it's neutral from the issues of races, gender, class, etc. Also, it should be noted that mathematics is analytical.

Furthermore, mathematics is timeless and hands-on. This implies that students need to touch and feel what they're learning through a concrete experience.

Learn more about mathematics on:

https://brainly.com/question/12798024

i just want to know how did you get that number

Answers

Answer:

what number?

Step-by-step explanation:

Is the converse of the statement valid?

If a is odd, then a + 7 is even.


Yes. If a + 7 is even, then a is odd.

Yes. If a is odd, then a + 7 is odd.

No. If a is even, then a + 7 is odd.

No. If a + 7 is odd, then a is even.

Answers

Yes. If a+7 is even, then a is odd

The converse of the statement is valid

Yes. If a + 7 is even, then a is odd.

The converse of a statement is gotten by switching the hypothesis and the conclusion.

In the statement:

If a is odd, then a + 7 is even.

The hypothesis = a is odd

The conclusion = a + 7 is even

The converse of the statement will be:

If a + 7 is even, then a  is odd.

The converse statement is valid because if we subtract 7 from an even number, the resulting number will be odd

Learn more on converse statement here: https://brainly.com/question/2751386

In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False

Answers

Answer:

True because you need to divide by -4 at one stage. Dividing by  a negative number will reverse the inequality.

Step-by-step explanation:

[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]

PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM ​

Answers

Answer:

3/5y

Step-by-step explanation:

6y/35 ÷10y^2/7

to solve this you do reciprocal of 10y^2/7

then;

6y/35 x 7/10y^2

solving this

3/5y

This is the right answer step by step…if you are good at maths y’ll understand it

Negative 4,200 divided by 300

Answers

Answer:

-14

Step-by-step explanation:

Starting at 1:00 P.M., the temperature changed -4 degrees per hour. How long will it take to reach -1?

Answers

Answer:

i may need more info on the temperature or do you have to find out

Step-by-step explanation:

Question 3 of 5
764 =
O A. 16
OB. 4
O c. 2
O D. 8

Answers

Answer:

b. 4

Step-by-step explanation:

I hope this helps!!

The answer is B equal to four

Prove the triangles are similar.

Answers

Answer:

SAS similarity

Step-by-step explanation:

The two triangles MON and MQP are such that

Angle M = Angle M

MO/MQ = MN/MP

Therefore, Triangle MON ~ Triangle MQP (SAS similarity)

look at the graph. which equation represents the graph?

Answers

The correct answer is A

Answer two questions
25 points

Answers

Answer:

1) -2x - 3

2) -2a - 2

Step-by-step explanation:

Problem 1

To solve this problem, we only have to combine like terms. What are the like terms in this problem? Well, we have two x-terms (-10x and 8x) and two integers, or constants (1 and -4). So, let's rearrange the expression and then combine those terms.

-10x + 8x + 1 - 4

-2x - 3

Problem 2

This expression is a little more complicated since we have to distribute a 2 onto the two terms in the parentheses.

2(1 - a) - 4

2(1) - 2(a) - 4

2 - 2a - 4

Next, we can combine like terms.

-2a + 2 - 4

-2a - 2

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\text{Number 1}[/tex]

[tex]\large\textsf{-10x + 1 + 8x - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-10x + 8x) + (1 - 4)}\\\large\textsf{= -2x - 3}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2x - 3}}}\huge\checkmark[/tex]

[tex]\huge\text{Number 2}[/tex]

[tex]\large\textsf{2(1 - a) - 4}\\\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES}\\\large\textsf{= 2(1) + 2(-a) - 4}\\\large\textsf{= 2 - 2a - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-2a) + (2 - 4)}\\\large\textsf{= -2a - 2}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2a - 2}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.

Give the five-number summary and the interquartile range for the data set.

Answers

The five-number summary of the data set given is:

Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?

The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.

The five-number summary include the following:

Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.

What is the Interquartile range?

The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1

Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:

Minimum = 48

First Quartile (Q1) = (54 + 54)/2 = 54

Median = (68 + 70)/2 = 69

Third Quartile (Q3) = (75 + 77)/2 = 76

Maximum = 80

Learn more about the five-number summary on:

https://brainly.com/question/24809873

Q4
An ice cube measures 2 cm by 2 cm by 2 cm.
A)What is its volume?
B) Is there enough room in a container measuring
8 cm by 12 cm by 10 cm for 100 ice cubes?

Answers

Answer:

A. [tex]8cm^{3}[/tex] B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

Answer:

Step-by-step explanation:

2 x 2 x 2 = 8

the volume is 8 cm^3

8 x 12 x 10 = 960 cm^3

8 / 2 = 4

12 / 2 = 6

10 / 2 = 5

4 x 6 x 5 = 120

you can fit up to 120 cubes into the container

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

URGENT NEED HELP ASAP

Answers

Answer:

1/4

Step-by-step explanation:

We know two points on the line so we can use the slope formula

(0,6) and (8,8)

m = ( y2-y1)/(x2-x1)

   = (8-6)/(8-0)

   = 2/8

   = 1/4

Answer:

1/4

Step-by-step explanation:

slope=rise/run=1/4

Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?​

Answers

h(x) = g(f(x))

Take f(x) and plug it into g(x).

g(f(x)) = sqrt{4x}

g(f(x)) = sqrt{4(3x^3 + 8x^2)}

g(f(x)) = sqrt{12x^3 + 32x^2}

We are done.

Answer:

h(x) = sqrt{12x^3 + 32x^2}

The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Composite functions

Given the following fnctions

[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]

The composite function g(f(x)) is expressed as:

[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Learn more on composite function here: https://brainly.com/question/10687170

What is the measure of angle PNL?

43°
47°
86°
94°

Answers

Answer:

43°

Step-by-step explanation:

Answer:

A-   43

Step-by-step explanation:

ed2022

Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?

Answers

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.

which system of equations cannot be readily solved by the substitution method 6x+12y=11

Answers

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

what is -10 - 2g = -2(3g - 1) + 4 ​

Answers

Answer : G=4
You have to divide

Erin made cookies in the shape of animals. Out of the 40 cookies she made, 16 of them were shaped like a giraffe. What percent of the cookies were shaped like giraffes?

Answers

Answer:

40

Step-by-step explanation:

16/40×100

= 1600/40

= 160/40

= 40

How i can answer this question

Answers

Answer:

6x

Step-by-step explanation:

7x-x = x ( 7-1) = 6x

Answer:

6 x

Step-by-step explanation:

Subtract  x  from  7 x .

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

The zero is -6, that’s where it crosses the x axis.

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

HELP ASAP PLEASEEEEEEEEEEE HELP MEEE​

Answers

Answer:

5x 24 = 120 pulus degreece so that = a 120 digree angle

Step-by-step explanation:

Mrs. Rainer would like to buy 28
composition notebooks for her math class.
If they are on sale for $0.94 each, how
much will she spend, not including tax?

Answers

Answer:

$26.32

Step-by-step explanation:

0.94x28 = 26.32

(Meeting character limit)

Maya is using shapes to create a repeating pattern. Which rule will give Maya a repeating pattern that has a triangle as the 20th shape?

A.
triangle, square, circle, circle

B.
square, triangle, circle, circle

C.
square, circle, circle, triangle

D.
circle, circle, triangle, square

Answers

Answer:

B.

square, triangle, circle, circle

Step-by-step explanation:

Answer:

  C.  square, circle, circle, triangle

Step-by-step explanation:

The repeating patterns are 4 elements long. Element 20 will be the last element in the 5th repeat of the pattern. That is, the triangle must be the last element of the pattern.

The rule in choice C has the triangle last.

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