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Complete Question
Two geometrically similar jugs have volumes of 1000 cm³and 512 cm³.They have circular bases. The diameter of the base of the larger jug is 9 cm.
Calculate the diameter of the smaller jug.
Answer:
7.2 cm
Step-by-step explanation:
To solve the above question,we have the proportion
Smaller volume/ Larger volume = (Smaller diameter/ Larger diameter)³
We are to find the smaller diameter
Hence our formula is give as
Cube root(Smaller volume/ Larger volume)= Smaller diameter/ Larger diameter
=cube root( 512/1000) = x/9
= 8/10 = x/9
Cross Multiply
10x = 8 × 9
10x = 72
x = 72/10
x = 7.2cm
Therefore, the diameter of the second jug is 7.2 cm
Answer:
Step-by-step explanation:
It wanted to be reduced
Answer:
x = 6
y = 1
Step-by-step explanation:
to solve this system of equation we say let
2x + 3y = 15 .......................... equation 1
x - 3y = 3.................................. equation 2
from equation 2
x - 3y = 3.................................. equation 2
x = 3 + 3y.................................... equation3
substitute for x in equation 1
2x + 3y = 15 .......................... equation 1
2(3+3y) + 3y = 15
6 + 6y + 3y = 15
9y = 15 -6 ................................... combining the like terms
9y = 9
divide both sides by the coefficient of y
9y/9 = 9/9
y =1
put y = 1 in equation 3
x = 3 + 3y.................................... equation3
x = 3 + 3(1)
x = 3 +3
x = 6
therefore the value of x is 6 and y is 1 respectively
