The number that satisfies the given condition is -72.
Let's break down the given statement step by step:
The difference of a number and 24:
Let's assume the number is represented by 'x'.
The difference of 'x' and 24 can be written as (x - 24).
Divided by 8: We divide the difference of 'x' and 24 by 8, which gives us ((x - 24) / 8).
The quotient of the difference of a number and 24 divided by 8: So, the quotient is ((x - 24) / 8).
The number divided by 6: We divide the number 'x' by 6, which gives us (x / 6).
The given statement says that the quotient obtained in step 3 is equal to the number divided by 6.
Mathematically, we can represent this as:
((x - 24) / 8) = (x / 6)
To solve this equation for 'x', we can cross-multiply:
6(x - 24) = 8x
Now, we can simplify and solve for 'x':
6x - 144 = 8x
Subtracting 6x from both sides:
-144 = 2x
Dividing by 2:
x = -72
Therefore, the number that satisfies the given condition is -72.
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Answer:
A = 90.25 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
19pi = 2*pi*r
Divide each side by 2 pi
19pi / 2 pi = 2*pi*r/ 2pi
9.5 = r
The area is given by
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi in^2
Answer:
The area of circle is 90.25 π inches².
Step-by-step explanation:
Given:-
Circumference of circle is 19 π in.
To Find :-
Area of circle
Solution :-
Firstly, we need to find radius of circle
Using formula
Circumference of circle = 2 π r
substitute the value
19 π inches = 2 π r
Divide each side by 2 π
19 π inches / 2 π = 2 π r / 2 π
9.5 inches = r
Now, Finding the area of circle
Using formula
Area of circle = π × r²
Where,
Substitute the values
Area of circle = π × ( 9.5 inches)²
Evaluate the exponent
Area of circle = π × 90.25 inches ²
multiply ,we get
Area of circle = 90.25 inches²
Hence, the area of circle is 90.25 π inches².