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 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

if ^{22}P_{r}+1^{:20p}_{r}+2 = 11:52 find r

show graphically that the solution set of the following system of inequalities is empty

x-2y greater than = 0, 2x-y less than = -2 ,x greater than = 0, y greater than = 0

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....

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

if ^{n-1}c_{r}:^{n}c_{r}:^{n+1}c_{r}=6:9:13 find n and r

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

Draw the graph of the following system of inequalities and mark the solution.

2x + y – 3 ≥ 0

x - 2y ≤ 0

y ≤ 3

if all permutations of the letters of the word INDIA are arranged as in a dictionary what is the 60^{th} word?

solve the system of inequalities x+2y>= 20 and 3x+y<=15

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?

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?

a 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??

15x less than 73, where (i)x belongs to N and (ii) Z.

solve the inequation and represent the solution set on the number line.

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%?

Q3. Figure shows a square grid of order 3, which of the following is correct formula for total number of squares in a similar grid of order n.

(a) $\frac{\mathrm{n}\left(\mathrm{n}+1\right)}{2}$ b) $\frac{\mathrm{n}\left(\mathrm{n}+1\right)\left(2\mathrm{n}+1\right)}{6}$ c) $\frac{{\mathrm{n}}^{2}{\left(\mathrm{n}+1\right)}^{2}}{4}$ d) $\frac{\mathrm{n}\left(\mathrm{n}+1\right)\left(\mathrm{n}+2\right)}{6}$

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

marks obtained by her in the second and third

examinations are more than 5 and 10 respectively

than in the first examination. If her average mark

is at least 80 find the minimum mark that she

should get in the first examination?

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

if

^{22}P_{r}+1^{:20p}_{r}+2 = 11:52 find rshow graphically that the solution set of the following system of inequalities is empty

x-2y greater than = 0, 2x-y less than = -2 ,x greater than = 0, y greater than = 0

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....x

^{2}+ 1 is greater than or equal to 0.Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.

➩ mod(2 ÷ x - 4) is greater than 1, x is not equal to 4.

if

^{n-1}c_{r}:^{n}c_{r}:^{n+1}c_{r}=6:9:13 find n and ran 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

Draw the graph of the following system of inequalities and mark the solution.

2x + y – 3 ≥ 0

x - 2y ≤ 0

y ≤ 3

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

^{th}word?solve the system of inequalities x+2y>= 20 and 3x+y<=15

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?

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?

a 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??

15x less than 73, where (i)x belongs to N and (ii) Z.

solve the inequation and represent the solution set on the number line.