9,000 were divided equally among a certain no of persons . had there been 20 more person each would have got rupees 160 . find the original no of persons​

Answers

Answer 1

Answer:

let the number of persons be " x "

and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.

______________________________________

let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,

let us suppose each person gets an amount of " r " rupees.

then ,

[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]

_____________________________________

According to Question ,

hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.

hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -

[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]

lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]

[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]

on dividing the complete equation by (- 160)

[tex]x { }^{2} + 20x - 1125 = 0[/tex]

now , use the method of splitting the middle term so that we get the value of x.

[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]

since number of persons can't be negative. therefore ,

number of persons = x = 25

_____________________________

_____________________________

hope helpful :D


Related Questions

I neeed helpppppppppppppppppppp

Answers

Answer:

1: 1; 3: 4; 5: 3

Step-by-step explanation:

when you have a negative exponent it basically is the regular exponent but the number is put over one

so 2^-2 is 1/2^2 which is 1/4

1/4 * 4 is 1

then for three

you have

(1/2)^-1

when the number is a fraction and you have a negative exponent you can put the number on the top

so this is 2

2 * 2 is 4

for the last one

anything times 0 is 1

this means that the answer is 3

Answer:

1. 1

3. 4

5. 3

Step-by-step explanation:

3.y= 2 (1/2)^x where x= -2

1/2=2^-1

(2^-1)^-1

-1×-1

=1

=2^1

2 (2)

=4

1. y=4 (2)^x

2^-2

1/2^2

=1/4

=4×1/4

=1

5.y=3 (1/3)^X

1/3=3^-1

(3^-1)^0

3^0

=1

3(1)

=3

PLEASEEE HELP LOOK AT PICTURE!!!

Answers

Answer:

a 64/3

Step-by-step explanation:

4^3 * 1/3 = 64/3


which set is an example of like fractions?
A. 1/2 and 3/2
B. 2/1 and 2/3
C. 7/4 and 4/7
D. 10/10 and 5:5

Answers

Answer:

like fractions have the same denominator. So A is correct

Manny has car insurance and was in an accident with a bill totaling $11,500. The insurance company says he needs to pay the first $1000. What does the $1000 represent?.

Answers

Answer:

Deductible

Step-by-step explanation:

you pay the first $1,000 of covered services yourself

$1000 represents the deductible amount.

In the case of an accident, the policyholder must pay a deductible as the first amount; the insurance company will only cover any expenses (losses) incurred after the deductible has been paid by the policyholder.

The consumer can first set his deductible while purchasing insurance.

Smaller deductibles often result in higher rates, and larger deductibles frequently result in lower premium payments.

The insurance company has asked Manny to pay the first $1000 in an instance when he was involved in an accident and incurred charges totaling $11,500. The $1,000 deductible amount.

Hence, the answer is deductible amount.

Learn more about deductible amount here:

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YELLOW If this is the Math Test Results of all 300 seventh graders
at a school, how many of the kids earned an A?

Answers

Answer:

13%

Step-by-step explanation:

What is m∠P?

There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

m∠P =
°

Answers

Answer: 94 degrees

Step-by-step explanation:

The value of a baseball card increased by 10%. Which expression represents the new value of the baseball card?


A. 1. 1v


B. V - 0. 1v


C. 0. 1v


D. V - 0. 1


E. V + 0. 1


F. V - 0. 9v

Answers

Answer:

d). Punch 1, then punch one zero. e). Punch the Add dar. 4 2 4. 0 + f) ... 1 by 6, that isi when you find the decimal v,s,lue

If RV=w and SU=w–30, what is the value of w?

Answers

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV, then

SU =  RV , so

w - 30 =  w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

45+40+45=55+60+90+30+55+35+60+45+75

Answers

Answer:

635

Step-by-step explanation:

Answer:

45+40+45=55+60+90+30+55+35+60+45+75

Step-by-step explanation:

Its 505

can sombody help me i am bad at math illl give brainlist tho

Answers

Answer:

A and C are correct

Step-by-step explanation:

Making the decimal value greater than 4.3 or 4.30 will make the statement correct

Answer:

A

Step-by-step explanation:

incomplete statement

4.3 < 4 ← obviously not true

to make the statement true requires the value in the tenths place to be greater than 3 , for example

4.3 < 4.4 ← is a true statement

ST is parallel to RU in the figure. What is m<3 if m<1 =49

Answers

Answer:

49

Step-by-step explanation:

M<1 = M<2 - Corresponding angles are congruent

M<2 = M<3 - Vertical angles

Answer:

  6)  49°

  7)  30°

Step-by-step explanation:

6)

Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.

  ∠3 = 49° . . . . . . . same as ∠1

__

7)

Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.

  5x +x = 180°

  x = 180°/6 = 30°

  a = 30° . . . . . . . . same as x

what is the solution of this equation -12x-7=53

Answers

Answer:

x = -5

Step-by-step explanation:

You have to work backwards.

53 + 7 = 60

60 ÷ 12 = 5

Add the negative »»» -5

X= -5

Explanation: Move the constant to the right-hand side and change its sign, Add the numbers, Divide both sides of the equation by -12.

What is the solution to the equation 6 m = 60?
m = 10
m = 50
m = 66
m = 360

Answers

Answer:

[tex]\displaystyle m = 10[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{60}{6} = \frac{6m}{6} \\ \\ \boxed{10 = m}[/tex]

I am joyous to assist you at any time.

Answer:

[tex]\sf{m=10}[/tex]

Step-by-step explanation:

The value of m must be found from one side of the equation in order to solve this problem.

6m=60

First, divide by 6 from both sides.

[tex]\sf{6m=60}[/tex]

[tex]\sf{\dfrac{6m}{6}=\dfrac{60}{6} }[/tex]

Then, solve it.

[tex]\boxed{{\sf{m=10}}}[/tex]

Therefore, the correct answer is m=10.

I hope this helps you! Let me know if my answer is wrong or not.

I need it as a linear function thank you

Answers

[tex]5~~,~~\stackrel{5(6)}{30}~~,~~\stackrel{30(6)}{180}~~,~~\stackrel{180(6)}{1080}~~,~~\stackrel{1080(6)}{6480}~\hfill \boxed{f(x)=x_{n-1}(6)}[/tex]

now, that's recursive, we can also write it in explicit as [tex]5(6)^x[/tex]

Mrs. Watson has 30 desks in her math class, each shaped like the trapezoid shown below. She plans to cover each one with bulletin board paper for a project. What is the minimum amount of paper she will need?​

Answers

Answer: 12,888 in^2 (inches squared)

Step-by-step explanation:


The rear window of Alex's van is shaped like a trapezoid with an upper base
measuring 36 inches, a lower base measuring 48 inches, and a height of 21 inches.
An 18-inch rear window wiper clears a 150° sector of a circle on the rear window, as
shown in the diagram below.
36 in.
21 in.
150 degrees
18 in.
48 in.
1. What is the area, in square inches, of the entire trapezoidal rear window?
Show or explain how you got your answer.

Answers

The area, in square inches, of the entire trapezoidal rear window is 882 square inches.

What is the area of the  entire trapezoidal rear window?

A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.

Area of a trapezoid =  0.5 x (sum of the lengths of the parallel sides) x height

Area of a trapezoid =  0.5 x (36 + 48) x 21 = 882

To learn more about trapezoids, please check: https://brainly.com/question/25748893

I do not understand this

Answers

Answer:

D. 2 (1/3) hours

Step-by-step explanation:

'Of' means multiplication, so we are going to multiply

3 (1/2) x (2/3) = 2 (1/3)

or

3.5 x 0.66 = 2.333

I hope this helps!

At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of 3 degrees Celsius each minute, what will be the temperature, in degrees Celsius, after 5 minutes?

Answers

Answer:

-5°C

Step-by-step explanation:

Let T1 be the temperature at the start of the experiment.

We know, T1 = 10°C

Rate of decrease in temperature = 3°C per minute.

Total temperature decreased after 5 minutes (T2) = (3*5)°C

= 15°C

The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C

The number of calories consumed in an oreo cookie is directly proportional

Answers

Yes this isn’t really a question but every Oreo has the same number of calories making it proportional

100 points!!! please help with this math!!!

Answers

Answer:

Height = 9 cm

Volume = 243 cm³

Surface area = 270 cm²

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.

The height of the prism is also called the length, and is the measure of the length that connects the two bases.  
So for this prism the height is 9 cm.

Area of the base = (6 × 3) + (3 × 3)

                            = 18 + 9

                            = 27 cm²

Volume of a prism = area of the base × height

                               = 27 × 9

                               = 243 cm³

Total surface area = (2 × base area) + side areas

                              = (2 × 27) + 2(6 × 9) + 4(3 × 9)

                              = 54 + 108 + 108

                              = 270 cm²

In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?​

Answers

Answer:

2 students do Chemistry, but not Mathematics

Step-by-step explanation:

2 students do Chemistry, but not Mathematics

*View attached table*

Hope this helps!

Evaluate each power.

a. (−7)0 b. (43)0 c. 10 d. (0.5)0

Answers

Answer: The answer is two

Step-by-step explanation:

Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21

Answers

Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21 it’s -1

Does anyone know the answer to these? (forgot to put a screenshot on the last one)

Answers

Answer:

number 1

1       1000 grams

2      2000 grams

5        5000 grams

8         8000 grams

10          10000 grams

Step-by-step explanation:

now 2

1 grams    1000

3 grams      3000

4 grams       4000

6 grams       6000

9 grams       9000

that is all i know please mark me the brainiest

Micheal is planting a garden in the shape of a right triangle. He wants 4 plants for each square meter area. How many plants does Michael want in the garden?


PLEASE answer this today because it is due tomorrow

Answers

Hence, required answer is 336

See the picture for the solution

PLEASE HELP I DONT UNDERSTAND IVE BEEN TRYING FOR 15 MINS AND STILL DONT GET IT

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)​

Answers

The values of the length of the missing sides of triangle is x = 7√2 and y = 7.

What are special triangles?

Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.

One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.

From the given figure we observe that the two angles are 45 degree and 90 degree.

Using the angle sum property we have:

45 + 90 + third angle = 180

third angle = 45 degrees.

The triangle is thus a 45-45-90 triangle.

The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.

Here, the angle corresponding to 45 is 7.

Thus, y = 7 and x = 7√2.

Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.

Learn more about triangles here:

https://brainly.com/question/2269348

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Write the following decimals in expanded form:
a) 0.75

b) 245.07

c) 36.85

d) 3.74

Answers

Answer:

a ) 0.75 = 0.70 + 0.05

b) 245.07 = 200 + 40 + 5 + 0.0+ 0.07

c) 36.85 = 30+6 + 0.80 + 0.05

d) 3.74 = 3+ 0.70 + 0.04

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Write the following decimals in expanded form:

a) 0.75

0.70 + 0.05

b) 245.07

200 + 40 + 5 + 0.07

c) 36.85

30 + 6 + 0.8 + 0.05

d) 3.74

3 + 0.7 + 0.04

Hope this helps!

Write a real-world problem that can be solved using the equation:
7.5 + x = 16
PLEASE HELP ME

Answers

Answer:

8.5

Step-by-step explanation:

7.5 + 8.5 = 16

X=8.5 hope this helps

If K is the midpoint of segment JL, JK = 8x + 11 and KL = 14x - 1, find JK.

Answers

Answer:

  27 units

Step-by-step explanation:

A midpoint divides a line segment into two congruent parts. K being the midpoint of segment JL means ...

  JK = KL

  8x +11 = 14x -1 . . . . . substitute given expressions

  12 = 6x . . . . . . . . add 1 -8x

  2 = x . . . . . . . . divide by 6

Then the length of JK is ...

  8x +11 = 8(2) +11 = 27

JK is 27 units long.

_____

Additional comment

KL = JK = 27 units

JL = 2(27 units) = 54 units

What is the mode of the data set?


8
9
10
5

Answers

Answer:

8

Step-by-step explanation:

It has the highest frequency

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