If x=ky and x=5 , y=30 then the value of k=
Answers
Answer:
1/6
Step-by-step explanation:
k=x/y
k=5/30
k=1/6
Answer:
The value of k is 1 / 6.
Step-by-step-explanation:
We have given that,
x = ky and x = 5, y = 30
We have to find the value of k.
Now,
x = ky
⇒ 5 = k * 30
⇒ k * 30 = 5
⇒ k = 5 ÷ 30
⇒ k = 1 / 6
∴ The value of k is 1 / 6.
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Additional Information:
1. Variable:
A letter used in Mathematics to denote something is called as a variable.
For example, a, b, c, x, y, z, etc.
2. The value of variable is not constant. It changes from example to example and therefore it is called variable i. e. one which is able to vary.
3. Constant:
All the real numbers and the values in Mathematics are called as constants. They never change in any condition.
4. Expression:
A group of constants or variables in the operations like addition, subtraction, multiplication, division is known as an expression.
For example,
x + 2, 30 + 10, a + b, y² - y + 4, etc.
5. Equation:
When an expression is written using "equal to" ( = ) sign i. e. has two sides namely Left Hand Side ( LHS ) and Right Hand Side ( RHS ), then it is called as an equation.
6. Types of equations:
A. Based on number of variables
B. Based on degree ( index )
7. Based on number of variables:
An equation is known as that type of equation based on how much variables are present in the equation.
For one variable, equation in one variable.
For two variable, equation in two variables.
For three variables, equation in three variables.
8. Based on degree:
A. Linear equation:
With degree one.
B. Quadratic equation:
With degree two.
C. Cubic equation:
With degree three.
D. Biquadratic equation:
With degree four.
9. Solving a linear equation in one variable:
1. A linear equation in one variable has one variable with constants.
2. To find the value of the used variable, we have to follow the required operations.
3. If the variable is in addition to the number, then number goes to in subtraction by converting to other side.
Example:
x + 2 = 5
⇒ x = 5 - 2
⇒ x = 3
4. If the variable is in subtraction to the number, then number goes to in addition by converting to other side.
Example:
x - 2 = 5
⇒ x = 5 + 2
⇒ x = 7
5. If the variable is in multiplication to the number, then number goes to in division by converting to other side.
Example:
5x = 10
⇒ x = 10 ÷ 5
⇒ x = 2
6. If the variable is in division to the number, then number goes to in multiplication by converting to other side.
Example:
x / 2 = 5
⇒ x = 5 * 2
⇒ x = 10