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Syllabus

A manufacturer has 600 L of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so that the acid content in the resulting mixture will be more than 15% but less than 18%?

A milk of 80% concentration is diluted at home by the seller by adding some water to it so that milk concentration is reduced between 65% to 70%. If 640 litres of milk of 80% concentration is available, how much water has been added? Which value system the seller is lacking.

a polygon has 44 diagonals.find the no. of its sides.

an object dropped from cliff falls with a constant acceleration of 10m/s2 find its speed after 2s after it was dropprd

Q. Solve graphically:- 3y-2x<4, x+3y>3, x+y<equals 5.

if

^{22}P_{r}+1^{:20p}_{r}+2 = 11:52 find ra milk of 80% conc. is diluted at home by the seller by adding some water to it so that milk conc. is reduced btw 65% to 70% . if 640 l of milk of 80% conc. is available how much water has been added??

a scooter covers 20km/h at a uniform speed of 30km/h what should be its speed for the next 40 km if the average speed is 60km/h

if log

_{0.3}(x-1) < log_{0.09}(x-1), then x lies in the interval....Q.11. The region of xy plane represented by the inequalities x$\ge $6, y$\ge $2 and 2x + y$\le $10 is

Choose one:

A. Unbounded

B. Polygon

C. Exterior of triangle

D. No solution

Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.

_{a}x,log_{b}x log_{c}x are in A.P. where x not equal to 1, show that c^{2}= (ac)^{log}_{a}^{b }if

^{n-1}c_{r}:^{n}c_{r}:^{n+1}c_{r}=6:9:13 find n and r➩ mod (x) - 1 ÷ mod (x) - 2 is greater than or equal to 0.

{Please explain the whole sum in detail}

Sir, these types of sums are not in our ncert booklet. But I found the same in RD sharma. So, tell me that whether it is right to concentrate in this type of sums or not.

an object moves along a straight line with an acceleration of 2m/s2 if its initial speed is 10m/s what will be its speed 5s later

in how many ways can the letters of the word FRACTION be arranged so that no two vowels are together.

if all permutations of the letters of the word INDIA are arranged as in a dictionary what is the 60

^{th}word?1) find all pairs of consecutive odd positive integers,both of which are smaller than 18,such that their sum is more than 20.

in this why you took x+ 2 not only x please tell me

how to solve modulus (2x - 1/x - 1)>2?

A plumber can be paid under 2 schemes as given below:-

I : $600 and $ 50 per hour.

II: $ 170 per hour .

If the job takes n hours, what values of n does Scheme I give the plumber better wages?

Write the number of integral solutions of x+2/x

^{2}+1 1/2.While drilling a hole in the earth, it was found that the temperature (TC) at x km below the surface of the earth was given by

T = 30 + 25(x - 3), when 3 ≤ x ≤ 15.

Between which depths will the temperature be between 200C and 300C?

|x-1|+|x-2|+|x-3|>=6

find the real values of the parameter a such that (2a +1)x

^{2 }- a(x-1) =2 has one root greater than 1 while the other less than 1 ?if the products of the roots of the equation x

^{2}-3kx+2e^{2logk}-1=0 is 7, then the roots are real for k=..........The longest side of a triangle is 3 times the shortest side and the third side

A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be at least 5 cm longer than the second?

[Hint: If

xis the length of the shortest board, thenx, (x+ 3) and 2xare the lengths of the second and third piece, respectively. Thus,x= (x+ 3) + 2x≤ 91 and 2x≥ (x+ 3) + 5]How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?

A point moves such that the sum of its distances from the point (ae,0) and (-ae,0) is 2a. Show that the locus of this point is x

^{2}/a^{2}+ y^{2}/a^{2}(1-e^{2}) = 1in the first four paper each of 100 marks, rishi got 95,72,73,83 marks. if he wants an average of greater than or equal to75 marks and less than 80 marks , find the range of marks he should score in the fifth paper.

sir i dont understand this line ......

however when both inequalities are multiplied opr divided by a negative number then the sign of the inequality is reserved .. ????

a. -4 ≤(cos2x+3 sin x)

≤(17/8)b. abcd>81 (s-a)(s-b)(s-c)(s-d)

IQ of a person is given by the formula

IQ = (MA/CA)*100,

where MA is the mental age & CA is the chronological age. If 80≤IQ≤140 for a group of 12 yr children, find the range of their mental age.

In the video above.

when the rules are told they reverse the rules and say.

plz check

thanks

Hi

Solve the equation for x and y: (x - iy) (2 + 3i) = x+2i / 1-i

what is wavy curve method?

A company manufactures cassettes. Its cost and revenue functions are C(x)=26000+30xand R(x)=43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit?

^{2}(4-3x)^{2}(x-2)^{4 }] / [(x-5)^{5 }. (2x-7)^{6}] greater than equal to 0a). 1

b). 2

c). 3

d). 4

exactly do we use open and closed brackets...??

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

confusing in infinity how you use infinity firstly in the video you have used infinity and in example you use - infinity

This is a funny proof which my friend showed me. Can u please find the error in it beacause i can't.

Let a = b

a2 = ab (a2 is a squared)

a2 - b2 = ab - b2

(a+b)(a-b)=b(a-b)

a+b=b

b+b=b (a=b)

2b=b

2=1

I wud b really thankful if u wud tell me what the error is.

THANK YOU

NCERTExercise 6.24th problem y+8>=2x

I got solution region but in the answer it is shaded upto -2 in x-axis and upto 3 in y-axis.Can I shade it to x-axis upto -1 and if Ishade x-axis upto -1,upto what area in the y-axis?

if (m^n)( n^m)=800 and m<n then find n/m

Solve:

2x/ 2x

^{2}+5x+2 > 1/x+1Find the feasible solution of following inequations

x+ 4y ≤ 24; 3x +y ≤21 ; x+ y ≤9;

x≥0 and y≥0

find the feasible solution 3x +4y ≥12; 4x +7y≤28

y≥1, x≥0

A company manufactures cassettes and its cost equation for a week is ( C = 300 + 1.5 x ), while its revenue equation is (R= 2x ) , where x is the number of cassettes sold. How many cassettes must be sold by the company to get some profit?

prove that the roots of the equation (b+c-2a)x2+(c+a-2b)+(a+b-2c) are rational.

solve the polynomial inequality

(1) x

^{4 }- 5x^{2 }+ 4 < 0(2) x

^{4}- 2x^{2 }- 63 < or = 0In example 2...how can any number be smaller than 5 and greater than 7 ??? plz explain....

Q.18If a young man rides his motor cycle at 25 kph, he has to spend Rs 2 per km on petrol and if he rides it at 40 kph, the petrol cost rises to Rs 5 per km. He has to Rs 100 to spend on petrol and wishes to find the maximum distance, he can travel within one hour. Formulate the data in the form of inequation and draw a graph representing the solution of these inequation.IF 1/8! + 1/9! = x/10! . Then find the value of x .

a solution of 8%boric acid is to be diluted by adding a 2 % boric acid solution to it. the resulting mixture is to be more than 4 % but less than 6 % boric acid. if we have 640 litres of the 8 % solution, how many litres of the 2 % solution will have to be addedd

A car has covered a distance of 120km in 5hrs. What is its instaneos speed and velocity at time t=20s

In drilling world's deepest hole, it was found that the temperature T in degree Celsius

x km below the surface of earth, was given byT = 30 + 25 (x-3), 3 and 3000C ?Solve the following inequations in R.

1. 1/x-1≤2

2. 5x+8/4-x<2

3. x/x-5>1/2

4. 0<-x/2<3

5. |3x-4/2|≤5/12

6. |x-2|/x-2>0

7. |x+2|-x/x<2

8. |2x-1/x-1|>2

9. |x-1|+|x-2|+|x-3|≥6

10. The marks scored by rohit in two tests were 65 and 70. Find the minimum marks he should score in third test to have an average of at least 65 marks.

11. The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side if the perimeter of the triangle at least 61cm, find the minimum length of the shortest-side.

12. How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?

13. A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If there are 640 litres of the 8% solution, how many litres of 2% solution will have to be added?

14. The water acidity in a pool is considered normal when he average pH reading of three daily measurements is between 7.2 and 7.8. If the first two pH reading are 7.48 and 7.85, find the range of pH value for the third reading that will result in the acidity level being normal.

15. Show that the solution set of the following linear inequations is empty set:

15.1) x-2y ≥0, 2x-y ≤-2,x ≥0, y ≥0

15.2) x+2y≤3, 3x+4y ≥12, y ≥1, x ≥0, y ≥0

If a+b=1, then prove that, (a+1/a)

^{2}+(b+1/b)^{2}>25/2 [ where a is not equal to b]2x -3 / 3x -7 0. solve this inequality..!!

What is the sign scheme method.Can you explain it briefly?

Ques 112

How can we understand which region we have to shade? answer meas soon as possible.

Solve the given inequality and show the graph of the solution on number line: 3

x– 2 < 2x+1