Bal Bharti Vidyalaya is located in the Karauli district of Rajasthan. The school decided to go for a plantation drive for 2 days on the occasion of Vanmahotsava. The Principal of the Vidyalaya asked the forest department to provide plants. It was decided that each student has to plant an equal number of trees on both days. On the first day, all the participants planted 5 trees each. The number of boys and girls who participated was in the ratio 5:4. (i) If the number of trees planted by the students on the first day was 5400, how many boys participated? [1] (ii) Find the total number of students who participated in this program? [1] (iii) If the total number of trees planted on the second day was 7560, then how many trees were planted by each one of them

Answers

Answer 1

Answer:

i). 600 Boys

ii). 1080 Students

iii). 7 Trees each students On Second day

Step-by-step explanation:

According to the Question,

Given, Bal Bharti Vidyalaya is located in the Karauli district of Rajasthan. The school decided to go for a plantation drive for 2 days on the occasion of Vanmahotsava. The Principal of the Vidyalaya asked the forest department to provide plants. It was decided that each student has to plant an equal number of trees on both days. On the first day, all the participants planted 5 trees each. .The number of boys and girls who participated was in the ratio of 5x:4x.

i).  If the number of trees planted by the students on the first day was 5400.

We Know, Each Student Has Planted 5 Plants on First day So, Girls And Boys Ratio are 5x : 4x , Thus Total Students Are 9x .

NOw, This 9x Planted 9x × 5 ⇒ 45x Trees on First Day.

45x = 5400 ⇔ x=120

So, The Number Of Boys Are 5x = 5 * 120 ⇒ 600Boys

And, The Number of Girls Are 4x = 4 * 120 ⇒ 480Girls

ii).  the total number of students who participated in this program is 600 boys + 480 Girls = 1080 Students.

iii). If the total number of trees planted on the second day was 7560. We Know Every Student Plant Equal Number Of trees on each day.

So, 1080 Students Planted 7560 Plants

Therefor, each Student Planted 7560/1080 = 7 Trees Each On Second day.


Related Questions

The position vector of p (relative to the origin) is op = (x, y). if the magnitude of op is 5 units, find the set of all possible values of (x, y), with x, y E z​

Answers

Answer:

S = {(0, 5), (0, - 5), (3, 4), (3, -4), (-3, 4), (-3, -4), (4, 3), (4, -3), (-4, 3), (-4, -3), (5,0), (-5, 0) }

Step-by-step explanation:

Remember that the distance between two points (a, b) and (c, d) is given by:

[tex]distance = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

So, here we have that the distance between the point (x, y) and the origin, (0, 0) must have a magnitude of 5 units, then we want to solve:

[tex]5 = \sqrt{(x - 0)^2 + (y - 0)^2} \\5 = \sqrt{x^2 + y^2}[/tex]

If we square both sides, we get

[tex]5^2 = (\sqrt{x^2 + y^2} )^2\\25 = x^2 + y^2[/tex]

Now we want to find all the points (x, y) that meet this condition, suc that:

x ∈ Z

y ∈ Z

So both x and y must be integers.

So here we can just play with different values of x and y.

For example, if we define:

x = 0 we get:

25 = 0^2 + y^2

25 = y^2

√25 = y

Then we can have y = 5 or  y = -5

from this we got two points:

(0, 5) and (0, - 5)

if x = 1 we have:

25 = 1^2 + y^2

25 - 1 = y^2

24 = y^2

There is no integer such that its square is equal to 24, so we can stop here.

if x = 2 or - 2, we have:

25 = 2^2 + y^2

25 = 4 + y^2

25 -4 = 21 = y^2

Again, there is no integer such that its square is equal to 21, so we can stop here.

if x = +3 or -3, we have:

25 = 3^2 + y^2

25 = 9 + y^2

25 - 9 = 16 = y^2

√16 = y

then we can have y = 4 or y = -4

from this we got four points:

(3, 4)

(-3, 4)

(3, -4)

(-3, -4)

And for symmetry, if x = 4 or -4 we have the points:

(-4, 3)

(4, 3)

(-4, -3)

(4, -3)

finally, again for symmetry, if we take x = 5 or x = -5 we have the points:

(5,0)

(-5, 0)

Concluding, the set of all possible values (x, y) is:

S = {(0, 5), (0, - 5), (3, 4), (3, -4), (-3, 4), (-3, -4), (4, 3), (4, -3), (-4, 3), (-4, -3), (5,0), (-5, 0) }

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?


A.) 4x - 5y = 5

B.) 5x + 4y = 37

C.) 4x + 5y = 5

D.) 5x - 4y = 8

Answers

Answer: A , 4x - 5y = 5

Step-by-step explanation:

i just did it , duhhh

Answer:

a

Step-by-step explanation:

Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Answers

Given:

y is directly proportional to x.

[tex]y=30[/tex] when [tex]x=5[/tex]

To find:

The equation that connects y with x.

Solution:

It is given that, y is directly proportional to x. So,

[tex]y\propto x[/tex]

[tex]y=kx[/tex]                     ...(i)

Where, k is the constant of proportionality.

We have, [tex]y=30[/tex] when [tex]x=5[/tex]. Substituting these values in (i), we get

[tex]30=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{30}{5}=k[/tex]

[tex]6=k[/tex]

Substituting [tex]k=6[/tex] in (i), we get

[tex]y=6x[/tex]  

Therefore, the required equation is [tex]y=6x[/tex].

plz help me I will give u branist and like u back plz help me I will also follow u​

Answers

I’m pretty sure it’s 5000

Answer:

hi, the answer is Nu5000

250×20=5000

Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error

Answers

Answer:

5%

Step-by-step explanation:

Percent error = (actual - estimated) / actual x 100

(240 - 228) / 240 x 100 = 5%

Mr yates owns a smoothie shop. To mix a batch of his famous orange punch smoothies, he uses 18 ounces of freshly squeezed orange juice. Each day he squeezes 560 ounces of fresh orange juice. How many batches of orange punch smoothies can he make in a day?

Answers

Answer:

31 batches

Step-by-step explanation:

Find how many batches of orange punch smoothies he can make by dividing 560 by 18:

560/18

= 31.11

Since we can only have a whole number answer, round down.

So, he can make 31 batches of orange punch smoothies.


Can I plsss get some helpp

True or False: The following lengths form a right triangle:
a = 8 units
b = 6 units
C = 10 units
10
op
6
O True
O False

Answers

Answer:

True is the correct answer

Answer:

I believe the answer is true

[tex]{(\frac{4}{3}) ^{-1} - (\frac{1}{4} )^{-1})}^{-1}[/tex]
Pls include steps

Answers

Step-by-step explanation:

(4/3)–1 = 3/4 and (1/4)–1 = 4/1

now we have,

(3/4 - 4)–1 = (-13/4)–1

= -4/13

The scatter plot below represents the amount of dog food a brand recommends
based on the weight of the dog.
Amount of Food per Day cups
20
40
60
No
100
Weight of Dog (b)
Which best describes the type of association shown in this scatter plot?
A
No association
B Nonlinear association
C Positive linear association
D Negative linear association

Answers

Answer:

positive linear association

Step-by-step explanation:

the slope is positive so the linear association is also positive and linear mean generaly in a line not on a curve like a nonlinear assciation.

(5x)/7 - x/14 = 9/7 solve for the unknown value this is a linear equation​

Answers

Step-by-step explanation:

[tex]\longmapsto \rm \dfrac{5x}{7} - \dfrac{x}{14} = \dfrac{9}{7} \\ [/tex]

[tex]\longmapsto \rm \dfrac{10x + x}{14} = \dfrac{9}{7} \\ [/tex]

[tex]\longmapsto \rm \dfrac{11x}{14} = \dfrac{9}{7} \\ [/tex]

→ 11x(7) = 14(9)

→ 77x = 126

→ x = 126 ÷ 77

x = 1.63

PLZZ HELPPP!!!!!!!!!!

Answers

Answer:

$375.32

Step-by-step explanation:

100% - 40% = 80%

80/100 = 0.8 (multiplier)

521.28 x 0.8 = 417.024

417.024 to 417.02 (2 d.p.)

100 - 10 = (ans)/100 = 0.9

417.02 x 0.9 = 375.318

$375.32

Step 1: Find the sales price

The surfboard was marked down 40% of its original price, $521.28.

0.40(521.28) = 208.512

521.28 - 208.512 = 312.768

Step 2: Find the final price

We add the tax on the sales price, not the original price. The tax is 10% in this case.

0.10(312.768) = 31.2768

312.768 + 31.2768 = 344.0448

Final price = $344.04

---I did not round until the end in this case, but rounding at every step leads to an answer of $344.05

Hope this helps!

Let f(x)=2(4)x+1−2. The graph of f(x) is translated 7 units to the left to form the graph of g(x).

Answers

This is what the following graph would look like:

Which expression can be used to convert 100 USD to Japanese?

Answers

Answer:The expression that can be used to convert 100 USD to Japanese Yen is 100 USD = 100/Y Japanese Yen.

Step-by-step explanation:

in isosceles Triangle RST below what is the value of y​

Answers

Answer:

second option

Step-by-step explanation:

y + y + 38 = 180 degree ( sum of interior angle of a triangle is 180 degree)

2y = 180 - 38

y = 142/2

y = 71 degree

Answer:

71 degrees

Step-by-step explanation:

Hi there!

All the interior angles of a triangle add up to 180 degrees.

Knowing this, we can construct the following equation:

[tex]180=y+y+38\\180=2y+38[/tex]

Subtract 38 from both sides

[tex]180-38=2y+38-38\\142=2y\\71=y[/tex]

I hope this helps!

can somebody help me with this question please!​

Answers

a (30)

fig 3 would take 18 triangle

fig 4 would take 30 small triangles

if its wrong i am sorry

Answer:

the answer is 33the answer is 18

if you horizontally shift the square root parent function f(x)=√x left two units what is the equation of the new function​

Answers

Answer:

[tex] \sqrt{x + 2} [/tex]

If you horizontally shift the square root parent function f(x)=√x left two units the equation of the new function is: g(x) = √(x + 2).

What is horizontal shift?

A horizontal shift is a function transformation that shifts a graph to the left or right without changing its shape.

If we want to shift the square root parent function f(x) = √x two units to the left, we must replace the argument x with (x + 2), because a positive value of x + 2 gives us the same x value two units to the left.

So the equation of the new function is:

g(x) = √(x + 2)

This new function is the square root function shifted two units to the left. For any given input value of x, we add 2 to it before taking the square root. This causes the graph to shift horizontally to the left by two units.

Thus, g(x) = √(x + 2) will be the new function.

For more details regarding horizontal shift, visit:

https://brainly.com/question/20518934

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Graph 8x-2y=1 and 4x+y=3

Answers

Answer:

no thanks i dont feel like doing all that work to help u. i apologize my dear friend bahahahahahahahahahahhahaha

Step-by-step explanation:

I’ve never understood this, please help!

Answers

Answer:

-80

Step-by-step explanation:

So basically what we need to do is find the value of x that satisfies the equation.

When I mean satisfy, I basically mean a value of x that makes one side of the equals sign equal to the other side of the equals sign.

So in this case, we need -6 = -6.

To find this lets solve the equaion step by step:

-6=x/8+4

So first off, you always want to get the variable on one side, and the number on the other.

This means you want to subtract the 4 from both sides, leaving x/8:

-6=x/8+4

-4       -4

-10=x/8

Whenever x is not 1x, you have to divide or multiply to get it equal to 1x.

If this is a bit confusing, here is an example:

100=10x

We need 1x, but above is 10x. The reason why we want 1x is because it is the lowest ratio, and most accurate x value.

You can think of it like a 1 dollar bill. Its easier and better to use than per say a 3 dollar bill.

So in the example above you would divide by 10, since 10x/10 would equal 1x.

Remember the rule however, that what you do on one side you must do on the other. This emans you would divide both sides by 10:

100/10 =10x/10

=

10=1x

We have in our equation:

-10=x/8

Our x is lower than 1. It x/8. Whenever we have a value of x greater than 1, we divide, like we did in the example. However here, it is below x. So we multiply.

In this case we multiply by 8, since its x/8:

-10 * 8 = x/8 * 8

=

-80=x

So x is equal to -80.

I hope you understand it better now :D

What is the common ratio for this sequence: 4, -16, 64, -256, ...

A. R = - 2

B. R = - 4

C. R = 2

D. R = 4

Answers

Answer:

The answer is D I think :)))

The correct answer would be “R=-4”. Since we know it’s being multiplied by 4 each time, we just have to test it out. 4 times -4=-16 times -4=64 times -4=-256. However if we do the rule for r=4, we would have 4 times 4=16. 16 is not equal to -16. Therefore the answer would be R=-4

Hydro Sunday in a right triangle the sum of the squares of the leg length is equal to the square of the high-profile tenseness length

Answers

Answer: hello your question is vague hence i will provide a more general answer

Area of a right angled triangle = 1/2 * b * h

Step-by-step explanation:

For a right- angled triangle; the sum of squares of the opposite and adjacent sides = square of the longest side ( i.e. hypothenuse )

hence the Area of a right angled triangle = 1/2 * b * h

where : b = adjacent , h = opposite side

Problem 2 : Using in the pattern in the image below, how many dots would be in Step 4

Answers

Answer:

20

Step-by-step explanation:

One pattern is that we are adding one row and one column for each step.

The first step has 1 row and 2 columns,

the second one has 2 rows and 3 columns,

and the third has 3 rows and 4 columns.

Thus, it would make sense for the fourth step to have 4 rows and 5 columns. This makes a rectangle with a length and a width, with the area of the rectangle being length * width. 4 * 5 = 20 as our number of dots

Please help me solve my problem!!!

Answers

Answer:

The answer is E.

Step-by-step explanation:

A quadrilateral that has only one pair of parallel sides is called a Trapezoid.

Gretchen make a paper cone to hold a gift for a friend the paper cone was 10 inches high and had a radius of 4 inches find the volume of the paper cone to the nearest tenth use 3.14 for pi

Answers

Answer: [tex]167.5\ in.^3[/tex]

Step-by-step explanation:

Given

Height of paper cone [tex]h=10\ in.[/tex]

Radius of cone [tex]r=4\ in.[/tex]

The volume of the cone is given by

[tex]\Rightarrow V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 4^2\times 10\\\\\Rightarrow V=167.5\ in.^3[/tex]

Thus, the volume of the cone is [tex]167.5\ in.^3[/tex]

Each column of the matrix represents a vertex of a triangle. If Rosa scales the triangle by finding 3T, what are the vertices of the scaled triangle?
(3, 3), (3, 9), (9, 3)
(0, 0), (0, 6), (6, 0)
(3, 3), (0, 9), (9, 0)
(0, 0), (0, 9), (9, 0)

Answers

Answer:

(0,0), (0,9), (9,0)

Step-by-step explanation:

The matrix corresponding vertices are:

(0,0)

(0,3)

(3,0)

Rosa scales by 3T, so we need to multiply each point by 3.

(3*0, 3*0)

(0*3, 3*3)

(3*3, 0*3)

=

(0,0)

(0,9)

(9,0)

last answer choice is right.

pls mark me brainly

The vertices of the scaled triangle, 3T is, (0, 0), (0, 9), (9, 0).

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A matrix [tex]T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex] represents the vertices of a triangle.

Let, ABC be the triangle,

So, A(0, 0), B(0, 3), C(3, 0).

Now, If [tex]T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex], Then [tex]3T=3\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex].

Therefore, [tex]3T=\begin{bmatrix}0 & 0 & 9\\0 & 9 & 0\end{bmatrix}[/tex].

Hence, The new vertices are, (0, 0), (0, 9), (9, 0).

learn more about matrices here :

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The original price of a computer was reduced by 225 dollars. The new discounter price is 1274 dollars.

Answers

Answer:

1499

Step-by-step explanation:

Given that :

New discounted price = 1274

Let original price = p

Reduction in original price = 225

Original price is the sum of the reduction and the new discounted price

The Original price = Reduction in original price + new discounted price

P = 225 + 1274

P = 1499

what is energy efficiency

Answers

Answer:

The goal to reduce the amount of energy used to provide products and services; saving the earth vibes.

PLS HELP ASAAPPPP!! will mark brainliest if i can !!

Answers

Answer:

2nd option

Step-by-step explanation:

The discriminant b² - 4ac tells us about the nature of the roots

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

Here b² - 4ac = 15 > 0

Then there are 2 real and distinct roots

x = 2 and x = - 3 are possible solutions to the equation

Answer:

option b) x = 2 and x = -3

Step-by-step explanation:

If discriminant is greater than zero, then the quadratic equation will have two solutions.

If discriminant is equal to zero, then the quadratic equation will have only one solution.

If discriminant is less than zero no solution

Here the discriminant is 15 , which is greater than zero.

Therefore we will have to solutions.

There is only one option with two solutions for x.

So option b is the answer.

peter collects antique marbles. he has these two boxes full of marbles

Answers

Answer:

3 marbles

Step-by-step explanation:

and they have died inside too

The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in, find the width, perimeter, and area of this rectangle.

Answers

Answer:

L = 31.5 w = (4/7)31.5 = 18 p = 2 * 31.5 + 2 * 18 A = 31.5 * 18

Step-by-step explanation:

can someone help me I forget how to do this.

Answers

Answer:

If i recall Maria collected 34 cicadas

Answer:

17 Cicadas

Step-by-step explanation:

62 - 28 divided by two will give us the amount Maria collected.

62 - 28 = 34

34/2 = 17

Maria had 17 cicadas.

How to verify:

17 + 28 + 17 Should equal 62

34 + 28 = 62

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New Corp. issues 2,000 shares of $10 par value common stock at $14 per share. When the transaction is recorded, credits are made to Group of answer choices Common Stock $20,000 and Paid-in Capital in Excess of Stated Value $8,000. Common Stock $28,000. Common Stock $20,000 and Paid-in Capital in Excess of Par $8,000. Common Stock $20,000 and Retained Earnings $8,000. Please help Ill give brainliest 'ocean of tears won't bring him back'.........what figure if speech is this expressiona. hyperboleb. metaphorc. ironyd. simile PowerTrain Sports Inc. manufactures and sells two styles of All Terrain Vehicles (ATVs), the Mountain Monster and Desert Dragon, from a single manufacturing facility. The manufacturing facility operates at 100% of capacity. The following per-unit information is available for the two products: Mountain Monster Desert DragonSales price $5,400.00 $5,250.00 Variable cost of goods sold 3,285.00 3,400.00Manufacturing margin $2,115.00 $1,850.00 Variable selling expenses 1,035.00 905Contribution margin $1,080.00 $945.00 Fixed expenses 485 310Income from operations $595.00 $635.00 In addition, the following sales unit volume information for the period is as follows: Mountain Monster Desert DragonSales unit volume 5,000 4,850Required:a. Prepare a contribution margin by product report. Calculate the contribution margin ratio for each.b. What advice would you give to the management of PowerTrain Sports Inc. regarding the relative profitability of the two products? HELP PLEASE 20points!!!At a high school, 9th and 10th graders were asked whether they would preferrobotics or art as an elective. The results are shown in the relative frequencytable. English settlers were barred from exploring the Australian interior early on because of what two geographic regions?Gulf of CarpentariaWestern PlateauGreat Dividing RangeMurray-Darling Basin If a private citizen sues a business, that is an example of? Which best describes how the status of the Civil War affected Lincolns reelection chances in 1864? Jada wants Entrances C and D to be the same distance from the playground.How much longer is Path C than Path D? Round your answer to the nearest tenth. Show your work. The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth. Explain the extracellular matrix, its components, and how it holds some tissues together. Explain the process of regeneration as it relates to tissue repair. Discuss and give examples of the two major types of body membranes. Which is a true statement about the Neolithic revolution ?A. The Neolithic revolution caused a decrease in population.B. The Neolithic revolution was also called the pastoral revolution. C. The Neolithic revolution took place over thousands of years.D. The Neolithic revolution happened relatively quickly, in just five hundred years. what discribes a words connotations what is the inverse of A(r)=15+3r ? Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the questions with their solutions. 5 80 6 200 8 150 Joshua has 11 baskets of apples. In total, he has 88 apples. How many apples are there in 1 basket? arrowRight Mindy can type 40 words per minute. How many words can she type in 5 minutes? arrowRight Jessica had 20 balloons, which she distributed among 4 of her friends. How many balloons did each friend get? arrowRight Max can make 1 greeting card in 5 minutes. How many greeting cards can he make in 30 minutes? arrowRight Is there any other "Sun" like ours? Parallel to y = 3x 2 and passes through (1, 4) the coordinates of three vertices of a rectangle are -2, 3, -2, -1, and 3, -1. what are the coordinates of the fourth vertex A farmer tested the soil in a field and found that there was a high nitrate salt concentration. The farmer then grew a crop in this field. After the crop was removed, the soil was tested again. The nitrate salt concentration had decreased. (a) Suggest reasons why the nitrate salt concentration had decreased (b) Some species of plant grow well in soil that is always low in nitrate salt. Explain how they can obtain a source of nitrogen compounds. convert 4 kilograms into grams with process