A farm has fruit trees planted in rows. There are 6 fruit trees in the first row, and each additional row has 3
more fruit trees than the row before it. If there are 18 rows of fruit trees, how many fruit trees are there on
the farm?
O 324
O 426
O 456
O 567

Answers

Answer 1

Answer:

567

Step-by-step explanation:

It is going to be arithmetical sequence, a1=6

d=3, n=18

Sn= (2a1+d(n-1))/2*n= (2*6+3*17)/2*18= 63*9=567

Answer 2

The arrangement of fruits trees in the farm is modeled after an arithmetic progression, thus, there are 567 fruit trees in the farm.

What is the number fruit tress in the farm?

The number of fruits trees in the farm represents an arithmetic progression as each row of trees in the farm increases by 3 more than the one after it.

The number of trees is calculated using the arithmetic formula as follows:

[tex]S_n = \frac{2a + d(n - 1)}{2}× n[/tex]

where

a = 6, n = 18; d = 3

Substituting the values

[tex]S_n = \frac{2 \times 6 + 3(18 - 1)}{2}× 18 = 567[/tex]

Therefore, there are 567 fruit trees in the farm.

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Related Questions

how many different ways can 3 people sit at a table with 5 seats?

a) 15
b) 60
c) 125
d) 243

Answers

Answer:

The correct answer is B 60 - 5 x 4 = 20 x3 = 60

Answer:

60 ways

Step-by-step explanation:

5P3 = 5!/[3!(5-2)!]

= 5!/(3!2!)

= 5 × 4 × 3

= 60

if (2,3) bisects the line segment joining the points (a,6) and (8,b),then what are the values of a and b​

Answers

Answer:

a

Step-by-step explanation:

John's family drinks
7/9 of milk a day.
How many liters do they drink in 4 days?

Answers

Answer:

28/9 or 3 1/9

Step-by-step explanation:

7/9 + 7/9 + 7/9 + 7/9 = litera they drink in 4 days or 7/9 x 4

7/9 • 4 = 28/9 or 3 1/9

[tex]\frac{28}{9}[/tex]   liters do they drink in 4 days.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

John's family drinks 7/9 of milk a day.

Liters do they drink in 4 days: X

Using unitary method

X = [tex]\frac{7}{9} \times4[/tex]

X = [tex]\frac{28}{9}[/tex]

[tex]\frac{28}{9}[/tex]   liters do they drink in 4 days.

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another easy question pls answer​

Answers

Answer:

22.5 degrees and 67.5 degrees

Step-by-step explanation:

complementary angles add up to 90°

x + 3x = 90°

4x = 90

90/4 = x

x = 22.5

The first angle is 22.5

The second angle is 3 times as much

22.5 x 3 = 67.5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Evaluate. Express your answer in scientific notation.
5.09 x 104 – 4.95 x 104

Answers

Answer:

-163.64..................

8. Nathan has 3 jars, each containing either 5 or 10 marbles.
Which of the following could NOT be the total number of
marbles in all the jars? 30, 20, 35, 25

Answers

35 can’t be the total of marbles

Answer:

35

Step-by-step explanation:

Because,

when we take the maximum values of marbles in a jar ,

that is each jar contains 10 marbles

then the total number of marbles in 3 jars is 30

so , the value 35 is not possible.

Thank you

Jeffery took a drive to town at an average rate of 50mph. When he returns, he drove back at the rate of 30 mph. If he spent a total of 8 hours traveling, what is the distance traveled by Jeffery? Please answer.

Answers

Answer:

150 + 150 = 300

Step-by-step explanation:

50x = 30y  

x + y = 8

~~~~~~~~~~~~~~~

x = 8 - y

50(8-y) = 30y

400 - 50y = 30y

400 = 80y

y = 5

x= 3

Algebra hcf
2x + y and 18x +9y ​

Answers

Step-by-step explanation:

2x+y and 18x+9y

=2x+18x=9y2

=2x"=9y"

A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?

Answers

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

First to answer correctly gets brainliest
Clicking on the images makes it full

Answers

Answer:

a)

There are 6 planes - 5 faces of the pyramid and one base, which overlaps with the plane X.

b)

Collinear points are the points on the same line:

J, K, D are collinear

c)

The intersection of planes X and HGD is the line section HG.

a:-

This is a pentagonal pyramid

It has 5 planes on sides and one is on base.Total 6planes.

B:-

J-F-L and J-K-D

C:-

HG is the intersection line

Pls help me out on this question, Find the sum of this first 8 terms of the Arithmetic Progression. log x, log x2, logx3

Answers

Okie

First find D

In this case it is log x

Now find those terms which are log x, log 2x, log 3x, ….. log 8x
Now add them
You will get log x36 :)

slove for w -22=4(w=2)-7w

Answers

ANSWER: w=10

because math

which quadrant will the line y= -1/4 x-15 never pass

Answers

Step-by-step explanation:

For x-intercept:

put y=0

0=-1/4 x -15

1/4x=-15

x=-15×4

x=-60

points(-69,0)

For y-intercept:

put x=0

y=-1/4(0)-15

y=-15

points(0,-15)

This line will never pass through first quadrant.

Note:if you need to ask any question please let me know.

The line will never pass through first quadrant.

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given line:

y= -1/4 x-15

Now, the x-intercept:

0=-1/4 x -15

1/4x=-15

x=-15×4

x=-60

and the y-intercept will be

y=-1/4(0)-15

y=-15

Hence, the line will never pass through first quadrant.

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helpppppppppppppppppppppppppppp

Answers

Answer:

c. {1/15,16,1/17,18}

Step-by-step explanation:

please follow me

Answer:

[tex]{ \sf{set \:A \: and \: B }}[/tex]

A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?​

Answers

Answer:

About 76.5 ft.

Step-by-step explanation:

Draw a diagram of a right triangle.  The shorter leg represents the height of the main entrance of the library, which is 8 ft.  The longer leg won't matter in this case.  The hypotenuse is what we're trying to find, so mark it as x.  We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case.  Now we have to use trig.  Think of Soh Cah Toa.  The 6° is opposite from 8 and the hypotenuse is x.  So, the equation to find x would be:

sin (6°) = 8/x

Multiply both sides by x

sin (6°) * x = 8

Divide both sides by sin (6°)

x = 8/sin (6°)

When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.

Segment addition postulate help

Answers

ANSWER:
1. x=5
3. x=-12
5. x=4

what is the distance between points (6,-5) and (2,-2)

Answers

Answer:

5.

Step-by-step explanation:

Distance = √(2-6)^2 + (-2-(-5)^2)

= √(16 + 9)

= √25

= 5.

Hello ;)

We can calculate the distance between two points by knowing their coordinates.

Here is the formula :

Let two points [tex]A(x_{A};y_{A})[/tex] and [tex]B(x_{B};y_{B})\\[/tex]

The distance between those two points is given by using this formula :

[tex]AB^{2} =(x_{B}-x_{A})^{2} +(y_{B}-y_{A})^{2}[/tex]

Now, we can use this formula in your exercice.

(2 - 6)² + (-2 - (-5))²

= (-4)² + 3²

= 16 + 9

= 25

Do not forget to do the square root of 25 ;)

So we obtain : [tex]\sqrt{25}=5[/tex]

The distance between points (6 ; -5) and (2 ; -2) is 5 units of lengh.

:-)

Ok I still don’t get this pls help!

Answers

Answer:

p and q value is 70 deg and r,s,t and u is 110 deg

Step-by-step explanation:

I. If half circle = 180°

 when p = q = 70°

 so r = s = t = u = 180 - 70 = 110°

Step-by-step explanation:

[tex]thank \: you[/tex]

Seven teenagers were asked what they charge hourly for babysitting,

The results are shown below. What is the median of these prices?

$8.00, $8.50, $9.00, $9.25, $9.50, $10.75, $11.00

Answers

Median- is the middle value whereby the values are place in order (ascending)

$9.25 is the median of these prices

Find the measure of the number two angles in each figure. Justify each answer​

Answers

11:
1. 123°
2. 57°
3. 95
4. 85°

12.
1. 130°
2. 54°
3. 130°
4. 126°

I NEED HELP WITH THIS IXL PROBLEM.

Answers

Step-by-step explanation:

S'(7,-4)

T'(7,-3)

U'(2,-7)

V'(2,-9)

will mark brainliest if correct

Answers

Hi :)

6

6 is a whole number

6 is an integer

and 6 is a natural number

Answer:

Natural number is 6 here

Whole number is 6 too and so is integer. 4.9 and (-1/2) are a rational number while pi is an irrational number

Subtract using a number line.

−2.3−(−0.4)

Plot the minuend and the difference on the number line.

Answers

The difference on the number line of the expression −2.3−(−0.4) is - 1.9

Number lines are lines that are used to mark integers based on the required interval between the integers

Given the expression

−2.3−(−0.4)

First, let us find the difference

= −2.3−(−0.4)

= −2.3 + 0.4

= -1.9

Hence the difference of the number is -1.9

Representing the result on a number line is attached below

Learn more here: https://brainly.com/question/18731042

Answer:

-1.9 on the number line!

Step-by-step explanation:

k12

Here is an easy question for points: Bob went to the store and bought four products. He spent $19.87 on a coffee maker, $45.21 on a food processor, and $9.99 on trousers. He also purchased a chair. His entire cost was $100. what was the cost of the chair?

Answers

Answer:

24.93

First add all then subtract by 100

10.
What is the volume of the rectangular prism?
3.in.
4 in.
52 in.

Answers

Answer

(3.5 times 5.25) times 4

Step-by-step explanation:

then convert the decimal to a fraction.

Chose the correct property


[tex]a(9 \times b) = (a \times 9)b[/tex]


A) Commutative Property Of Multiplication

B) Associative Property Of Multiplication

C) Neither​

Answers

Answer:

Associative property of multiplication

IF(x)=3x+7, Find the image of 5

Answers

Answer:

f(5) = 22

Step-by-step explanation:

Substitute x = 5 into f(x) for image , that is

f(5) = 3(5) + 7 = 15 + 7 = 22

The answer is 22.
You substitute 5 where there is an x.
(3 X 5) + 7
15 + 7 = 22
f(5) = 22

4. Find the equation of the lines described.
A. Find the equation of the line parallel to y = 3x -5
and passing through
(-4, 7).

Answers

Answer:

y = 3x + 19

Step-by-step explanation:

Apply point-slope form. Our point (y1, y2) is (-4, 7) and our slope (m) is 3. The slope of y = 3x - 5 is 3 because it is "m" in y = mx + b. Parallel lines have the same slope.

y - y1 = m(x-x1)

y - 7 = 3(x-(-4))

y - 7 = 3(x+4)

y - 7 = 3x + 12

y = 3x + 19

Gordon makes 4/5 of a recipe with 2/3 bag of cheese. At this rate, what fraction of the bag of cheese will Gordon use to make the entire recipe?

Answers

Answer:

Gordon will use 5/6 of the bag of cheese to make the entire recipe.

Step-by-step explanation:

We are given that Gordon makes 4/5 of a recipe with 2/3 bag of cheese.

And we want to determine what fraction of the bag of cheese Gordon will use to make the entire recipe.

We can write the following ratio:

[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}[/tex]

Find the unit rate. Multiply both layers by 5/4:

[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}\times \frac{\dfrac{5}{4}}{\dfrac{5}{4}}[/tex]

Multiply:

[tex]\displaystyle \frac{\dfrac{5}{6}\text{ bag of cheese}}{1 \text{ recipe}}[/tex]

In conclusion, Gordon will use 5/6 of the bag of cheese to make the entire recipe.

Kira has breakfast in a restaurant. She leaves $1.80 for a 20% tip. What is the price of Kira's breakfast, before the tip?

Answers

Answer:

percent* base = amount

.2 * x = 1.80

x = 1.80/.2

x= $9

Step-by-step explanation:

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