1) Solve for radius
Radius = r
2) Solve for height
Height = h
3) in calculator enter : ( 2 x 3.14 x radius squared ) + ( 2 x 3.13 x radius x height )
The value of x is 8 when y = 12 if variables x and y have proportional relationship.
According to the given question.
Variables y and x have proportional relationship.
⇒ y ∝ x
Let k be the constant of proportionality.
⇒ y = kx
Also, it is given that
y = 21 when x = 14
Substitute the value of y = 21 and x = 14 in y = kx to find the value of k.
21 = k(14)
⇒ k = 21/14
⇒ k = 3/2
Therefore, the value of x when y = 12
y = kx
⇒ 12 = (3/2)x
⇒ 12 × 2 = 3x
⇒ 24 = 3x
⇒ x = 24/3
⇒ x = 8
Hence, the value of x is 8 when y = 12.
Find out more information about proportional relationship here:
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Answer:
Step-by-step explanation:
The system of equations is expressed as
-x -3y =18 - - - - - - - - - - - - - -1
x + 2y = -14 - - - - - - - - - - - - - -2
We would eliminate x by adding equation 1 to equation 2. It becomes
- y = 4
Dividing the left hand side of the equation and the right hand side of the equation by - 1, it becomes
- y/ - 1 = 4/ - 1
y = - 4
Substituting y = - 4 into equation 1, it becomes
-x -3 × - 4 =18
- x + 12 = 18
Subtracting 12 from the left hand side of the equation and the right hand side of the equation, it becomes
- x + 12 - 12 = 18 - 12
- x = 6
x = - 6
The first equation is a constant. There is no input necessary, and the output remains 5.
The second equation is also a constant. The output is 4.
In the third equation, y depends on what value of x you use. x is the input and y is the output.
In the fourth equation, x depends on what value of y you use. The way it is written, y is the input and x is the output.
In the last equation, either x or y could be the input. The other variable would change depending on which variable you replace with a number.
Answer:
36 (maybe...)
Step-by-step explanation:
Technically there is no way to answer this question, it says that 120 ADULTS were surveyed and then asks how many STUDENTS rank themselves as introverts. But if we a supposed to assume that all adults are students:
The ratio of 3:7 means that for every 3 introverts, there are 7 extroverts.
In other words for every 10 people (total introvert+extrovert) there are 3 introverts.
So to find the number of introverts in the group of 120, just multiply by 3/10 or 0.3
The answer would be 36
