Answer:
the value of x and y is 3 and -1 respectively.
Step-by-step explanation:
from the question
let
2x + 3y = 3........................ equation 1
y = 8 - 3x.............................. equation 2
put y = 8 - 3x in equation 1
2x + 3y = 3........................ equation 1
2x + 3 ( 8 - 3x) = 3
2x + 24 - 9x = 3
24 - 7x = 3
24 = 3 + 7x
24 -3 = 7x
21 = 7x
divide both sides by 7
x = 3
put x = 3 in equation 2
y = 8 - 3x.............................. equation 2
y = 8 - 3 ( 3)
y = 8 -9
y = -1
therefore the value of x and y is 3 and -1 respectively.
Answer:
240
Step-by-step explanation:
So let the first side be x. So the next side is 3x and the last side is (3x +60) . Add all 3 sides and set equal to 480. So x + 3x + (3x +60)= 480. Now do the Algebra. So 7x + 60 = 480. Subtracting 60 we get 7x = 420 so x= 60. You are asked to ffg ind the length of the longest side so 3(60) + 60 = 240.
Problem
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.
By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.
Solution
the volume of a cylinder is given by:
We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:
And the new volume would increase about 52%
The answer is definitely 31
