Answer:
I don't know how to answer the first question
There are 15 dogs in the kennel
There are 12 cats in the kennel
Explanation:
If there is a 4 to 5 ratio then
12 cats to 15 dogs is linear
It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.
Multiply the sum by 1/3 and you have

Now subtracting this from

gives

That is, all the matching terms will cancel. Now solving for

, you
have


263.76 cm is the minimum amount of paper she will need to wrap the entire container.
<u>Step-by-step explanation:</u>
As we know that the equation for surface area of a cylinder,
Surface area of cylinder = 
Where,
r - the radius of the cylinder. Here given diameter (D) as 6. So,

h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as

A = 56.52+ 207.24 = 263.76 cm
Well first you want to add the sales tax which would be 8% of 40 which is 3.2. So it costs $43.2 without the discount. so then you want to find 20% of 43.2 which is 8.64. So the last step is to subtract 8.64 from 43.2 which is
43.2 - 8.64 = $34.56 is your answer
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