Answer:
The first one: the error was that the 3 shouldn’t have been moved but the 5 should have. The correct answer is k=-8
The second one: the error was that they added the 6 and 4, you would only get -10 if the 4 was - the correct answer is -2
You can check your answer by plugging in your answer to the variable and making sure both side equal each other
Step-by-step explanation:
The first one: the 5 should be - from both side so you get k=-8
The second one: the 4 should be + to both sides. And the -6 and +4 should be added together to get n=-2
Remember you always want to get the variables by themselves.
Sorry that was a lot. Hope it helps!


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13/2170 = 0.006 (to 3 decimal places)
Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = 

h
where: r is its base radius and h the height
volume of the given cylinder = 
x
x h
= 
x 4
x h
= 

h
volume of a sphere = 


where r is the radius.
volume of the given sphere = 
x 
= 
x 9 
= 12

Since,
volume of the cylinder = volume of the sphere
Then we have;


h = 12

4
h = 36

subtract
from both sides
4
h = 36
x
divide both sides by 4
h = 
= 9x
h = 9x

is continuous over its domain, all real

.
Meanwhile,

is defined for real

.
If

, then we have

as the domain of

.
We know that if

and

are continuous functions, then so is the composite function

.
Both

and

are continuous on their domains (excluding the endpoints in the case of

), which means

is continuous over

.
1200 ÷ 4 = 300
Each person will receive 300 stock cards.