Given that the sum of 3, 7, and x is 18:
3 + 7 + x = 18
Combine constants:
10 + x = 18
Subtract 10 from both sides:
x = 8
Now, find the average (arithmetic mean) of 3, 7, and x:
Average = (3 + 7 + x) / 3
= (3 + 7 + 8) / 3
= 18 / 3
= 6
Given x³ = 64:
x = ∛64 = 4 (since 4³ = 64)
The question seems to be asking for the value of x.
The correct answer is 4.
The radius is the distance from the center of the circle to any point on its boundary.
It is half the length of the diameter.
To solve for x:
x/2 + 1 = 15
Subtract 1 from both sides:
x/2 = 14
Multiply both sides by 2:
x = 28
Let's solve the equation:
(3/2)x - 5/2 = 1/2
Add 5/2 to both sides:
(3/2)x = 1/2 + 5/2
(3/2)x = 6/2
(3/2)x = 3
Multiply both sides by 2/3:
x = 3 × (2/3)
x = 2
To convert 2/3 hours to minutes, we need to multiply 2/3 by the number of minutes in an hour, which is 60.
So, 2/3 hours = (2/3) × 60 minutes = 2 × 20 minutes = 40 minutes.
Every matrix has an additive inverse, which is the matrix with all elements negated.
Not every matrix has a multiplicative inverse (only square, non-singular ones do).
Class interval is the difference between the upper (or lower) limits of two consecutive classes.
It shows the width of each class in a frequency distribution table.
Since a 20% discount reduced the price to Rs. 100:
x - (20% of x) = 100
To find 20% of x, multiply x by 0.20:
x - 0.20x = 100
Combine like terms:
0.80x = 100
Divide by 0.80:
x = 125
For a quadratic equation in the form of ax² + bx + c = 0, the sum of the roots is given by -b/a.
Given the equation px² - qx + r = 0:
Step 1: Identify a and b
a = p, b = -q
Step 2: Calculate the sum of roots
Sum of roots = -(-q) / p
= q / p