the radius r of a sphere is 4cm and is increasing at the rate of 0.5cm . At what rate is the volume?
1 answer:
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One adult ticket costs £11 and one child ticket costs £8.5
Step-by-step explanation:
Let,
Adult ticket = a
Child ticket = c
According to given statement;
3a+4c=67 Eqn 1
5a+6c=106 Eqn 2
Multiplying Eqn 1 by 5;
Multiplying Eqn 2 by 3;
Subtracting Eqn 4 from Eqn 3
Dividing both sides by 2
Putting c=8.5 in Eqn 1
Dividing both sides by 3;
One adult ticket costs £11 and one child ticket costs £8.5
Keywords: Linear equation, subtraction
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The answer to the system of equation is (2,0)
6x - 3y = 12 --->> 3y = 6x - 12 -->> y = 2 x -4
y = 2x - 4
y = x - 2
In this case we subtract y = x - 2 from y = 2x - 4
So, it would be
y = 2x - 4
-(y = x - 2) --->> -y = -x +2
y = 2x - 4
-y = -x + 2
---------------
0 = x - 2
Now we add 2 to both sides to isolate x
So, x = 2
Now we replace x for two in both equations.
6(2) - 3y = 12
12 - 3y = 12 (I'm distributing)
-3y = 0
3y = 0
y = 0
Now the other equation
y = 2 -2
y = 0
So, the answer is (2,0)
I hope this helps.
YOU'RE WELCOME :D
6x - 3y = 12 --->> 3y = 6x - 12 -->> y = 2 x -4
y = 2x - 4
y = x - 2
In this case we subtract y = x - 2 from y = 2x - 4
So, it would be
y = 2x - 4
-(y = x - 2) --->> -y = -x +2
y = 2x - 4
-y = -x + 2
---------------
0 = x - 2
Now we add 2 to both sides to isolate x
So, x = 2
Now we replace x for two in both equations.
6(2) - 3y = 12
12 - 3y = 12 (I'm distributing)
-3y = 0
3y = 0
y = 0
Now the other equation
y = 2 -2
y = 0
So, the answer is (2,0)
I hope this helps.
YOU'RE WELCOME :D