Answer:
129.996 cubic feet
Step-by-step explanation:
Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:
First, we have to find the radius, which is:
D = 2r
So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.
Now, we solve. Exponents are first...
3.14(9)(4.6)
Now multiply left to right.
28.26(4.6)
129.996 cubic feet
Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!
Answer:
<em>Here is the complete question:</em>
The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:
a. The number of dogs is 4/5 the number of cats.
b. 4/5 of the pets at the farm are dogs.
c. There are exactly 30 more cats than dogs.
d. There are exactly 30 dogs at the farm.
e. 5/9 of the pets at the farm are cats.
a,c and e are true statements.
Step-by-step explanation:
Let the number of dogs be "d' and number of cats be "c".
According to the question:
⇒ ...equation (i)
Arranging the ratio:
⇒
⇒
⇒ ...equation (ii)
Plugging (ii) in equation (i).
⇒
⇒
⇒
⇒
⇒
⇒
Number of dogs "d" = 120
Number of cats "c" = (270-120) = 150
Lets check each statement:
a.
The number of dogs is 4/5 the number of cats.
⇒
⇒
⇒
Statement is true.
b.
4/5 of the pets at the farm are dogs.
⇒
⇒
Number of dogs = 120
So the above statement is false.
c.
There are exactly 30 more cats than dogs.
⇒
⇒
Statement is true.
d.
There are exactly 30 dogs at the farm.
False, as there are 120 dogs
e.
5/9 of the pets at the farm are cats.
⇒
⇒
Statement is true.
So,
Statement a,c and e are true as we could observe in the explanation.
Answer:
therefore the solution of the system of equations is (x,y) = (4,2)
the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"
Step-by-step explanation:
i) x + 2 = 6 x = 4
ii) x - y = 2 4 - y = 2 , therefore y = 4 - 2 , therefore y = 2
iii) therefore the solution of the system of equations is (x,y) = (4,2)
iv) the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"