Answer:
y = 2
Step-by-step explanation:
varies inversely
xy = k
y = 7 when x = 2/3
(2/3)7 = k
14/3 = k
k = 14/3
--------------------
find y when x = 7/3
(7/3)y = 14/3
multiply both sides by 3/7
y = 14/3 * 3/7
y = 2
Answer:
The value of m in the expression is 5
Step-by-step explanation:
Given expression as :
3 + ( 4 + 5 ) = ( 3 + 4 ) + m
Or, 3 + ( 9 ) = ( 7 ) + m
Or, 12 = 7 + m
∴ m = 12 - 7 = 5
Hence The value of m in the expression is 5 Answer
Answer:
21:50
Step-by-step explanation:
We need to find the ratio of 420 m to 1 km.
We know that,
1 km = 1000 m
So,
The ratio becomes,

So, the required ratio is 21:50.
Answer:
<em>500πx³y³z³ </em>
Step-by-step explanation:
Volume of a sphere = 4πr³
r is the radius of the sphere
Given
Diameter of the sphere = 10xyz mm
Radius = diameter/2
Radius = 10xyz/2
Radius = 5xyz
Substitute the radius into the formula
Volume of the sphere = 4π(5xyz)³
Volume of the sphere = = 4π(125)x³y³z³
Volume of the sphere = 500πx³y³z³
<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>