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If z = 4 (z -9), then z =? class 8

Given, z = 4 (z -9) z = 4z - 36 z - 4z = -36 -3z = -36 z = -36/-3 z = 12... View Article

Calculate median from the data given below: 10, 17, 16, 21, 13, 18, 12, 10.

Given the data is: 10, 17, 16, 21, 13, 18, 12, 10. Arranging the given data in ascending order 10, 10, 12, 13, 16, 17, 18, 21 Number of... View Article

Give the geometric representation of linear equation: y = 3 as in two variables.

We need to give the geometric representation of linear equation: y = 3 as in two variables. Given, y = 3 0x + y = 3 0x + y - 3 = 0 Thus, it... View Article

The prime factorisation of 64 is:

The prime factorisation of 64 is: 64 = 2 x 2 × 2 x 2 x 2 x 2 = 26... View Article

What is 4 mod 2?

4 mod 2 We know, 4/2 = 2 and remainder = 0 Multiples of 2 = 2, 4, 6, 10, .. To find 4 mod 2, subtract the highest multiple of 2 that... View Article

The sum of all natural numbers from 200 to 300, which are divisible by 6 is:

The arithmetic series is 204, 210, 216, ....., 294 First term, a = 204 difference, D = 210 - 204 = 6 Last term, an = 294 By the formula... View Article

The LCM of two numbers is 2516 and the square root of their HCF is 2, find the product of the two numbers.

Answer: The largest common divisor or Highest Common Factor (HCF) of two or more positive integers, as the mathematics rules dictate, appears to... View Article

If y = tan^-1(2x), then dy upon dx is:

y = tan-1 2x dy/dx = d/dx (tan-1 2x) By chain rule, we have; dy/dx = [1/(2x)2 + 1].d/dx (2x) = [1/(2x)2 + 1].2 = 2/(4x2 + 1)... View Article

Absolute value of -11 class 7

Absolute value of -11 is 11. |-11| = 11... View Article

x = 3y is a linear equation in two variables. Express in the form of ax + by + c = 0 and find the value of a, b and c.

Given, x = 3y x - 3y = 0 Comparing with ax + by + c = 0 (1)x + (-3)y + c = 0 a = 1, b = -3 and c = 0... View Article

The hcf of 2472, 1284 and a third number ‘n’ is 12. If their lcm is 2^3 × 3^2 × 5 × 103 × 107, then the number ‘n’ is:

Given, HCF of 2472, 1284 and a third number ‘n’ is 12. Their LCM is 23 × 32 × 5 × 103 × 107 Prime... View Article

5 digit number combinations

A five digit number can be filled by ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) in 10 ways. Thus, each of the five places can be filled in 10... View Article

July had how many weeks?

Number of days in a month of July = 31 Each week has 7 days. 31/7 = 4 (Remainder = 3) Thus, July has 4 weeks and 3 days.... View Article

Value for 300,000 in math.

3,00,000 is written as Three hundred thousand, in Maths.... View Article

Value of iota 502.

Value of iota 502. i502 = i500 x i2 = (i4)125 x i2 = 1125 x i2 = -1... View Article

The smallest number that is divisible by each one of 9,12,15 is:

The smallest number that is divisible by each one of 9,12,15 is the LCM of 9, 12 and 15. By division method, 2 9 12 15 2 9 6 15 3 3 3 15... View Article

Convert 172 into binary number.

To convert 172 into binary number, we need to repeatedly divide 172 by 2 and note down the remainders. 172/2 = 86; Remainder = 0 86/2 = 43;... View Article

LCM of numbers 72, 108 and 2100.

LCM of numbers 72, 108 and 2100 Prime factorisation of 72 = (2 × 2 × 2 × 3 × 3) = 23 × 32 Prime... View Article

Arrange from the least to the greatest: 0.55, −7/8 , -0.8, 5/8, 3.

Given, 0.55, −7/8 , -0.8, 5/8 , 3 0.55, -0.875, -0.8, 0.625, 3 Arranging them from least to greatest, i.e., in ascending order, we... View Article

The approximate uniform distance between two strands of B-DNA is

a) 34 Angstrom b) 18 Angstrom c) 36 Angstrom d) 20 Angstrom Answer: d) 20 Angstrom Explanation: The B-DNA structure is the most... View Article