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Find an equation of variation where y varies directly as x and y equals 8 when x equals 2 find y when x equals 10?

40


Find an equation of variation where y varies directly as x and y equals 2 when x equals 10 find y when x equals -25?

y = -5


X varies directly with y and inversely with z x equals 0.25 y equals 10 and z equals 20 find x when y is 20 and z is 10?

1


Find an equation of variation where y varies directly as x and y equals 10 when x equals 5 find y when x is 4?

y = 8


X varies directly with y and z x equals 400 when y equals 8 and z equals 10 Find x when y equals 10 and z equals 12?

x = 5.y.z so 5.10.12 = 600


If m varies directly as n and inversely as o and m equals 20 when n equals 50 and o equals 10 find m when n equals 96 and o equals 16?

m = 24


What is the constant of variation if y varies directly with x and if y equals 500 when x equals 10?

50


Find the variation constant and an equation of variation where y varies directly as x and y equals 10 when x equals 37?

y = kx: 10 = 37k so k = 10/37 and y = 10x/37


If y varies directly with x and y equals 10 when x equals 5 what is the value of k?

We write y=kx since y varies directly as x. Now we know if x is 5, y is 10. so we write 10=5k so k=2


X varies directly with y and inversely with z. x 5 when y 10 and z 5. Find x when y 20 and z 10x varies directly with y and inversely with z. x 5 when y 10 and z 5. Find x when y 20 and z 10x varies d?

Since ( x ) varies directly with ( y ) and inversely with ( z ), we can express this relationship as ( x = k \frac{y}{z} ), where ( k ) is a constant. Given that ( x = 5 ) when ( y = 10 ) and ( z = 5 ), we can find ( k ): [ 5 = k \frac{10}{5} \implies k = 2. ] Now, to find ( x ) when ( y = 20 ) and ( z = 10 ): [ x = 2 \frac{20}{10} = 4. ] Thus, ( x ) equals 4.


X varies directly with y and inversely with z x equals 20 when y equals 8 and z equals 4 Find x when y equals 4 and z equals 8?

The answer is x=10. If: x=20 y=8 z=4 then: y=8/2=4 z=4*2=8 since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.


If c varies jointly as f and g and c equals 27 and f equals 18 and g equals 6 find c when f equals 30 and g equals 10?

x = 75