Considering balloon to be an spherical object
Volume of sphere =
, where r is the radius of sphere.
After 19 minutes ,If radius of balloon changes from r to R, the Volume changes from V to V'.
V'=
,
As given,rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon.
Also,
Now, again the radius changes from R to r.So, Volume changes from V' to Back to V.
Time taken by the balloon to deflate = 38 minutes
But there is no relation between time and volume of Balloon.
So, we can't predict at which rate balloon is deflating or inflating.Apart from the statement given in Question:
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
I wish I could explain how to do these, but I can recommend Math-way. You can type the equations in and it with simplify it for you. It will even show you the steps, but you have to pay fro that part, but at least it will give you the answer.