Answer:
C. 31.83 feet.
Step-by-step explanation:
We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.
First of all, we will find the surface area of dog pen using surface area of cylinder.
,where,
r = Radius of cylinder,
h = Height of cylinder.
Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.
Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.
Upon dividing both sides of our equation by 10 pi we will get,
Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.
Answer:
Omas can buy 1 pound of walnuts.
Step-by-step explanation:
From the information given, you can say that the total cost would be equal to the result of multiplying the price per pound of granola for the number of pounds of granola plus the result of multiplying the price per pound of walnuts for the number of pounds of walnuts, which would be:
Total cost=2x+6y, where
x is the number of pounds of granola
y is the number of pounds of walnuts
Now, you can replace the values on the formula and solve for y:
12=(2*3)+6y
12=6+6y
6=6y
y=1
According to this, the answer is that Omas can buy 1 pound of walnuts.
The answer to this is step 2 because they multiplied when they should of subtracted the 10 and the 12.
The greatest common factor of 45m and 6m^5 is 3m. Here's how to find a greatest common factor:
1). Figure out the greatest number that divides evenly into every number in a given set. In your case, the number is 3.
2). Figure out the greatest number of variables that each of the monomials share. In your case, both of your monomials have at least 1 m. This can simply be represented as m.
The final answer is the answers you get from steps 1 and 2 combined.
I hope this helps you out! I have a feeling that my wording might be confusing. If you have any questions, ask me as a comment.
Answer:
$365,400
Step-by-step explanation:
If their budget is $5,060 this year and its $1,000 higher, than we can say that last year was $4060. Next, we look at the 11%. Their entertainment is 11% of the total budget. This means the rest of the budget is 89%. Multiply $4,060 by 89 which gets you $361,340. Add this with the $4060 (the 11% left) and it's $365,400. (I'm not sure if my math is 100% correct, but I know these are the proper steps.)
