Answer:
11
Step-by-step explanation:
Answer:
n = 9
Step-by-step explanation:
3(n+7)=48
distribute
3n +21 = 48
subtract 21 from each side
3n = 48-21
3n = 27
divide by 3
3n/3 = 27/3
n = 9
In general, the volume

has total derivative

If the cylinder's height is kept constant, then

and we have

which is to say,

and

are directly proportional by a factor equivalent to the lateral surface area of the cylinder (

).
Meanwhile, if the cylinder's radius is kept fixed, then

since

. In other words,

and

are directly proportional by a factor of the surface area of the cylinder's circular face (

).
Finally, the general case (

and

not constant), you can see from the total derivative that

is affected by both

and

in combination.
-4g + 12 = 16 then -12 on the both side
-4g = 4 then divided by -4, you will get g = -1
Answer:
A) Lexi is 15 and Tanner is 18
B) Enrique has 24 magnets and Peter has 88 magnets
Step-by-step explanation:
1.
t = 3 + l
t + l = 33
substitute:
(t) + l = 33
(3 + l) + l = 33
3 + 2l = 33
-3 -3
2l = 30
/2 /2
l = 15
Lexi is 15
solve for t:
t + 15 = 33
-15 -15
t = 18
Tanner is 18
2.
e = p - 64
e + p = 112
substitute
(e) + p = 112
(p - 64) + p = 112
2p - 64 = 112
+ 64 +64
2p = 176
/2 /2
p = 88
Peter has 88 magnets
e + (p) = 112
e + 88 = 112
- 88 - 88
e = 24
Enrique has 24 magnets