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X ,y ,z are three quantities . X varies inversely with y when z is constant . Y varies inversely with z when x is constable . When y =8 and z =7, x=30 .Find x if y=16 and z=21?
Most Upvoted Answer
X ,y ,z are three quantities . X varies inversely with y when z is con...
Given:
To find:
Solution:
Step 1: Find the constant of proportionality when X varies inversely with y at z=7.
When y=8 and z=7, x=30
Using the formula for inverse proportionality, we get:
x * y = k * z
30 * 8 = k * 7
k = 240/7
k = 34.2857 (approx)
Therefore, the constant of proportionality when X varies inversely with y at z=7 is 34.2857.
Step 2: Find the value of x when y=16 and z=21.
Using the same formula for inverse proportionality, we get:
x * y = k * z
x * 16 = 34.2857 * 21
x = (34.2857 * 21) / 16
x = 45.2381 (approx)
Therefore, the value of x when y=16 and z=21 is 45.2381.
Conclusion:
The value of x when y=16 and z=21 is 45.2381.
- X varies inversely with y when z is constant
- Y varies inversely with z when x is constant
- When y=8 and z=7, x=30
To find:
- Value of x when y=16 and z=21
Solution:
Step 1: Find the constant of proportionality when X varies inversely with y at z=7.
When y=8 and z=7, x=30
Using the formula for inverse proportionality, we get:
x * y = k * z
30 * 8 = k * 7
k = 240/7
k = 34.2857 (approx)
Therefore, the constant of proportionality when X varies inversely with y at z=7 is 34.2857.
Step 2: Find the value of x when y=16 and z=21.
Using the same formula for inverse proportionality, we get:
x * y = k * z
x * 16 = 34.2857 * 21
x = (34.2857 * 21) / 16
x = 45.2381 (approx)
Therefore, the value of x when y=16 and z=21 is 45.2381.
Conclusion:
The value of x when y=16 and z=21 is 45.2381.
Community Answer
X ,y ,z are three quantities . X varies inversely with y when z is con...
Xy=k1 _1 , z=k2 _2
yz=k3. _3 , x=k4 _ 4
1/3 => x/z = k1/k3
2/4 => z/x = k2/k4
k1k2=k3k4
x1y1z1 = x2y2z2
30*7*8 = 21*16*x2
=> x2 = 5
yz=k3. _3 , x=k4 _ 4
1/3 => x/z = k1/k3
2/4 => z/x = k2/k4
k1k2=k3k4
x1y1z1 = x2y2z2
30*7*8 = 21*16*x2
=> x2 = 5
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X ,y ,z are three quantities . X varies inversely with y when z is constant . Y varies inversely with z when x is constable . When y =8 and z =7, x=30 .Find x if y=16 and z=21?
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X ,y ,z are three quantities . X varies inversely with y when z is constant . Y varies inversely with z when x is constable . When y =8 and z =7, x=30 .Find x if y=16 and z=21? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about X ,y ,z are three quantities . X varies inversely with y when z is constant . Y varies inversely with z when x is constable . When y =8 and z =7, x=30 .Find x if y=16 and z=21? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X ,y ,z are three quantities . X varies inversely with y when z is constant . Y varies inversely with z when x is constable . When y =8 and z =7, x=30 .Find x if y=16 and z=21?.
X ,y ,z are three quantities . X varies inversely with y when z is constant . Y varies inversely with z when x is constable . When y =8 and z =7, x=30 .Find x if y=16 and z=21? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about X ,y ,z are three quantities . X varies inversely with y when z is constant . Y varies inversely with z when x is constable . When y =8 and z =7, x=30 .Find x if y=16 and z=21? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X ,y ,z are three quantities . X varies inversely with y when z is constant . Y varies inversely with z when x is constable . When y =8 and z =7, x=30 .Find x if y=16 and z=21?.
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