Since ( y ) varies inversely as ( x ), we can express this relationship as ( y = \frac{k}{x} ) for some constant ( k ). Given that ( y = 24 ) when ( x = 8 ), we can find ( k ) by substituting these values: ( 24 = \frac{k}{8} ) implies ( k = 192 ). Now, to find ( y ) when ( x = 4 ), we use the equation: ( y = \frac{192}{4} = 48 ). Thus, ( y ) is 48 when ( x ) is 4.
If ( y ) varies inversely as ( x ), this means ( y = \frac{k}{x} ) for some constant ( k ). Given that ( y = 24 ) when ( x = 8 ), we can find ( k ) by substituting these values: ( 24 = \frac{k}{8} ) which gives ( k = 192 ). Now, to find ( y ) when ( x = 4 ), we use the equation ( y = \frac{192}{4} ), resulting in ( y = 48 ).
If ( y ) varies inversely as ( x ), we can express this relationship as ( y = \frac{k}{x} ) for some constant ( k ). Given that ( y = 2 ) when ( x = 1 ), we can find ( k ) by substituting these values: ( 2 = \frac{k}{1} ), so ( k = 2 ). Now, to find ( x ) when ( y = 4 ), we use the equation ( 4 = \frac{2}{x} ). Solving for ( x ), we get ( x = \frac{2}{4} = \frac{1}{2} ).
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.
Since ( y ) varies inversely as ( x ), we can express this relationship as ( y = \frac{k}{x} ), where ( k ) is a constant. Given that when ( x = 3 ), ( y = 4 ), we can find ( k ) by substituting these values: ( 4 = \frac{k}{3} ), which gives ( k = 12 ). Now, to find ( y ) when ( x = 7 ), we use the equation ( y = \frac{12}{7} ). Thus, ( y \approx 1.71 ).
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.
y is 12
If ( y ) varies inversely as ( x ), this means ( y = \frac{k}{x} ) for some constant ( k ). Given that ( y = 24 ) when ( x = 8 ), we can find ( k ) by substituting these values: ( 24 = \frac{k}{8} ) which gives ( k = 192 ). Now, to find ( y ) when ( x = 4 ), we use the equation ( y = \frac{192}{4} ), resulting in ( y = 48 ).
25
Since ( y ) varies inversely as ( x ), we can express this relationship as ( y = \frac{k}{x} ), where ( k ) is a constant. Given that ( y = 5 ) when ( x = 2 ), we can find ( k ) by substituting these values: ( 5 = \frac{k}{2} ), which gives ( k = 10 ). Now, to find ( x ) when ( y = 4 ), we set up the equation ( 4 = \frac{10}{x} ). Solving for ( x ) gives ( x = \frac{10}{4} = 2.5 ).
If ( y ) varies inversely as ( x ), we can express this relationship as ( y = \frac{k}{x} ) for some constant ( k ). Given that ( y = 2 ) when ( x = 1 ), we can find ( k ) by substituting these values: ( 2 = \frac{k}{1} ), so ( k = 2 ). Now, to find ( x ) when ( y = 4 ), we use the equation ( 4 = \frac{2}{x} ). Solving for ( x ), we get ( x = \frac{2}{4} = \frac{1}{2} ).
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.
Since ( y ) varies inversely as ( x ), we can express this relationship as ( y = \frac{k}{x} ), where ( k ) is a constant. Given that when ( x = 3 ), ( y = 4 ), we can find ( k ) by substituting these values: ( 4 = \frac{k}{3} ), which gives ( k = 12 ). Now, to find ( y ) when ( x = 7 ), we use the equation ( y = \frac{12}{7} ). Thus, ( y \approx 1.71 ).
y varies inversely as x2 so y = c/x2 for some constant c. When x = 5, y = 4 So c = x2y = 100 that is y = 100/x2 Then, when x = 2, y = 100/4 = 25
E = 24/z or, equivalently, z = 24/E
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.
f(2) = 24.
1/4 of 24 = 24/4 = 6