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1m 80cm=180cm
number of shirt=180/40=4.5

so FOUR shirts can be made

remaining 20 cm cloth.

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Then, A= {2,4}
HOPE U GOT it

Step-by-step explanation:

To make the solution 10 litres containing 40 percent acids is we have to added 6 litres of solution from 1st and 4 litres of solution from second mixture.

Here,  from right to LEFT,  is repeating 3 TIMES (or it happens ENDLESSLY also!). 

So in such problems, as we do from right to left, same answer is repeating as each is being PASSED through. 

∴ 




∴ . 

Let's CHECK. 



If , then . 

Hope this will be helpful.

Because -6/-5 is EQUAL to 6/5

X+y=-71
x-32=-71
x=-71+32
x=-39

I.Book REQUIRED is equals to LCM of 28,32 and 36

28=2×2×7
32=2×2×2×2×2
36=2×2×3×3

LCM(28,32,26)=2×2×2×2×2×3×3×7
=2,016

Hence, total numbers of book required is 2,016.

12=2×2×3 = 2^3×3
16=2×2×2×2 = 2^4
24=2×2×2×3 = 2^3×3
36=2×2×3×3 =2^2×3^2

LCM=(12,16,24,36)=product of greatest power of each factor
=>2^4×3^2
=>16×9
=> 144

Greatest 4-digit number is 9,999

If any number is divisible by 12,16,24 and 36 it is also divisible by 144.

On dividing 9,999 by 144 we GET 63 as remainder.

Hence, the required number is (9,999-63)=9,936 Ans.

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iii. For each of the following PAIRS of numbers,show that product of ther LCM and HCF is equals to their products.

A.14 and 21

14=2×7
21=3×7

HCF(14,21)=poduct of smallest power of each common factor
=>7
Hence ,HCF=7

LCM(21,14)=Product of greatest power of each common factor.
=>2×3×7
=>42

Hence, LCM=42

Now,
LCM×HCF=42×7=>294

Products of the numbers=14×21=>294

Thus,proved that LCM×HCF=product of the numbers

B.27 and 90

27=3×3×3 =3^3
90=2×5×3×3 =2×5×3^2

HCF(27,90)=poduct of smallest power of each common factor
=>3^2
=>9
Hence ,HCF=9

LCM(27,90)=Product of greatest power of each common factor.
=>2×5×3^3
=>270

Hence, LCM=270

Now,
LCM×HCF=9×270=>2,430

Products of the numbers=90×27=>2,430

Thus,proved that LCM×HCF=product of the numbers.

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3.By using HCF FIND LCM
i.299 and 391

299=23×13
391=23×17

HCF(299,391)=Product of smallest power of each factor
=>23

Hence, HCF of 299 and 391 is 23

Now, we know that
HCF×LCM=product of the numbers
HCF×LCM=299×391
HCF×LCM=1,16,909
23×LCM=1,16,909
LCM=1,16,909 /23
LCM=5,083 Ans.

ii.1333 and 1767

1,333=31×43
1,767=31×57

Clearly,31 is the HCF

Now, we know that
HCF×LCM=product of the numbers
HCF×LCM=1,333×1,767
HCF×LCM= 23,55,411
31×LCM= 23,55,411
LCM= 23,55,411/31
LCM= 75,981 Ans.

1) Three different containers CONTAIN 496 litres, 403 litres and 703 litres of milk

496 = 2×2×2×2×31
403 = 13×31
713 = 23×31
so, HCF of 496, 403, 713 is 31

maximum capacity of a container that can measure the milk of any other tanker on exact of times = 31 litres

2) TWO bills of 6075 and 8505 respectively are to be paid buy checks of the same amount

6075 = 5×5×243
8505 = 5×7×243

so, HCF of 6075 and 8505 is 5×243 = 1215

largest possible amount of each check is 1215

3) FIND the largest number that will divide 623, 729 and 841 leaving remainder of 3, 9, and 1 respectively

largest number that will divide 623, 729 and 841 leaving remainder of 3, 9 and 1 respectively is 10

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3960/264+5742/522*30
=15+11*30
=15+330
=345
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220+24 of 60 -1089 /99

=(220+24)60-1089/99

=(220+24)60-11

=13200+1440-11

=14640-11

=14629 Ans

Hope it HELPS you! :)

It is given that a vendor buys LEMON at rupees 25 per dozen.

So, 12 lemons COST ₹25

Therefore, 1 lemon WOULD cost ₹25/12

Now,

SP of 5 lemons=₹12

So, SP of 1 lemon=₹12/5

So, here SP>CP, which means that there is a gain/profit.

Now, gain=SP-CP

=₹(12/5-25/12)

=₹19/60

Now, gain%=Gain/CP×100

=19/60/25/12×100

=76/5%

=15.2%

Answer:

Step-by-step explanation:

Consider PQRS is a square and each side of a square is = a

The height of the TOWER STANDING vertically on the CENTER of the square is (ON) = h

Proved that

Each side of the square subtends an angle 60° at the top of a tower N

Therefore, ∠QNR = ∠RNQ = 60°

M is the mid point of QR. now draw a line between NM and OM

In ΔNOM ∠NOM=90°

So,

we know that the perpendicular distance between the intersection point of two diagonals of a square to its side is half of the side.

Therefore  

we know that ∠QNR=60° so, ∠QNM=∠RNM=30° (as ∠QNR=60° and NM is BISECTS)

Now in ΔNMQ

Hence RHS=LHS(proved)

(0,-4) is COORDINATE of P

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ʜᴇʀᴇ's ᴜʀ ᴀɴsᴡᴇʀ ᴅᴇᴀʀ:-)
________________________
________________________

LET the age of subbu be X.
And the age of Tobu be y.

Given :
x + y = 18 -----------(1)

x - y = 4 -----------(2)

On adding EQUATION (1) and (2), we get

x+y+x-y = 18+4

➡ 2x= 22
➡ x = 22/2
➡ x = 11

Now, put the value of x in equation (1)

➡x + y = 18
➡11 + y = 18
➡ y = 18-11
➡ y = 7


Therefore, the age of subbu = x = 11 years.
And the age of Tobu = y = 7 years.

________________________
________________________

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Hey there !

Here Is your answer :

Let the NUMBER be “x”

2.4% of x = 22.8

=> 2.4/100 (x) = 22.8

=> x = [22.8(100)]/2.4

=> x = 2280/2.4

=> x = 950

Therefore, the required number is 950.

Hope this HELPS YA ✌️✌️

As 1 BOY will have 16 fingers(8 in hands and 8 of FEET).
5 BOYS will have 16*5 i.e 80 fingers

Answer:

Let's draw a ΔABC such that interior BISECTOR of ∠A and exterior bisector of ∠B intersects at E. Also, base AB is produced to D. (please refer to the figure GIVEN below)

∴ ∠CAE = ∠EAB= ½ ∠CAB …… (i)

And,  

∠CBE = ∠EBD= ½ ∠CBD …… (ii)

Let us consider ∠EAB is denoted as “∠x” and ∠EBD is denoted as “∠y”…… (iii)

By exterior angle theorem, we get

∠CBD = ∠A + ∠C

multiplying by ½ throughout the equation

⇒ ½ ∠CBD = ½ ∠A + ½ ∠C

substituting the values from (i), (ii) & (iii)

⇒ ∠y = ∠x + ½ ∠C ……. (iv)

Now, USING the exterior angle theorem in ∆ AEB, we get

∠EBD = ∠x + ∠E

substituting value from (iii)

⇒ ∠y = ∠x + ∠E ….. (V)

Thus, comparing eq. (iv) & (v), we get

∠x + ½ ∠C = ∠x + ∠E

⇒ angle E = ½ ∠C

Hence, it is proved that the angle formed by the bisector of interior angle A and the bisector of exterior angle B of a triangle ABC i.e., angle E is half of angle C.

201.81
is the ANSWER

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Bcoz men from all four corners of the world come to WOO PORTIA by crossing SEAS and deserts...

1:2.5

let TAKE market price is 100
shopkeeper discount 25 % of 100= 75
then
shopkeeper has PROFIT of 50% of 75 = 37.5

cost price is 37.5
And
marked price is 100

then take ratio

37.5 : 100
1 : 2.5

ANSWER:

Sanyam purchase more. by 12 more than GAUTAM.

Step-by-step explanation:

If Gautam PURCHASE (x^2+8x-20)

and sanyam purchase (x+4)^2

then (x^2+8x-20)=(x+4)^2

+8x-20=x^2-x^2+8

+8x-20=0+8

+8x=+20+8

+8x=28

x=28/8

x=3.5

then it will 3.5-0.5

=. 3

=. 3×4

=12 apples

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1) Use DISTANCE formula

2) Expand USING identity

3) CANCEL the like TERMS

The HEIGHT of the aeroplane can be AB

and C and D be the POSITION of 2 ships.

Let ∠ ABC = 60° and ∠ADB = 30°

Let BC = xm, CD = y m

in triangle ABC,

TAN 60° = AB/BC

√3 = 1200/X

x = 1200/√3 = √3/√3

= 400√3 m

In triangle ABD

tan 30° = AB/BD

= 1/√3 = 1200/ x + y

y = 1200/√3 - 400√3 = 800√3

The final answer for this QUESTION is 800√3

If there is any confusion please leave a comment below.

Let CP of 1 orange be x
And the cp of 1 apple be y
According to question
5X+3y=35 - - - - - (i)
2x + 4y=28 - - - - (ii)
Multiply by 2 in equation (i) and by 5 in equation (ii)

Now,
=> 10x+6y=70 - - - - (i)
=> 10x+20y=140 - - - (ii)
By subtraction equation (i) from (ii)
We get
=> 14y =70
=> Y= 10/14
=> Y=5
Putting the value of y in equation (i)
=> 5x+(3*5)=35
=> 5x =35-15
=> X =20/5
=> X =4
Hence
The cost of an orange =₹4
And the cost of an apple = ₹5

HOPE THIS WILL HELP U
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ANSWER:

Young's MODULUS, bulk modulus, and Rigidity modulus of an ELASTIC solid are together called as Elastic constants. When a deforming force is acting on a solid.

Answer:

Step-by-step explanation:

The sum of two numbers is 26 and their difference is 14. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 26. In other words, x plus y equals 26 and can be written as EQUATION A:

x + y = 26

The difference between x and y is 14. In other words, x MINUS y equals 14 and can be written as equation B:

x - y = 14

Now solve equation B for x to get the revised equation B:

x - y = 14

x = 14 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 26

14 + y + y = 26

14 + 2y = 26

2y = 12

y = 6

Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:

x + y = 26

x + 6 = 26

X = 20

Summary: The sum of two numbers is 26 and their difference is 14. What are the two numbers? Answer: 20 and 6 as proven here:

Sum: 20 + 6 = 26

Difference: 20 - 6 = 14

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Step-by-step EXPLANATION:

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substitution METHOD is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of ONE variable from one equation is substituted in the other equation.

ANSWER:

jdisbsodneondls sosndlsnslsndodnsn

2y + 4 = 8

2y = 8 - 4

y = 4/2

y = 2

Hence , option (B) is the CORRECT answer

ANSWER:

-18+3x=-18x+30

18x+3x=30+18

21x=48

x=48/21

x=16/7

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Step-by-step EXPLANATION:

Answer:

1250m

Step-by-step EXPLANATION:

SIDE of a regular Pentagon=125m

SINCE he took a round, THEREFORE perimeter=5*side= 5*125=625m,

Now since he took two rounds, Total DISTANCE covered= 625*2=1250m

ANSWER:

‎‏‏‎ ‎⠀ 

Answer:

answer is 336

as 6 7 8 are CO prime HENCE lcm will be - 6x7x8

whic

is 336

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( y+5)(y-5)

a. y power 2 +5

b.y power 2 - 10

c. y power 2+ 25

d. y power 2 - 25

ANSWER:

SEND the QUESTION in ATTACHMENT

LET the FIRST NUMBER be X

Other number=x+15

Their sum=95

According to QUESTION:-

x+(x+15)=95

2x+15=95

2x=95-15

First number=x=40

Other number=x+15=40+15=55

Step-by-step EXPLANATION:

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ANSWER:

WOW that's COOL!!!!!!!!!

Step-by-step explanation:

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