The answer to this question requires a formula. This formula is pie x radius squared x the height of the cylinder. The diameter is 3 feet, so it's radius is 1.5 feet. Square that and you get 2.25 feet. Take this and multiply it by pie. Most teachers simplify it to 3.14, to make it easier. So the value we have right now is 7.065 feet. Finally, we multiply this value by the height of the cylinder. We take 7.065 and multiply it by 10. The answer is 70.65 ft cubed. We are not done yet, because the question wants yards, not feet. So, the answer is 23.55 cubic yards. All I had to do was divide the value by 3 to get yards. I hope this answers your question as it should. Sorry for over explaining.
Answer:
<u>Yes. I agree with his claim because the equation relating the miles left to walk and the number of miles left to walk is :</u> 
Step-by-step explanation:
Given :
- <em>It's a 21 - mile walkathon</em>
- <em>The rate at which he is moving is 3 miles per hour.</em>
Let the number of miles walked be 
;
∴,
The number of miles '
' left to walk will be : 
<em>Thus the time '
' for which he walked :</em>
:
∴
From these equations , we get :
Thus , when we compare this with 
,
<u>Thus this is an equation of a Line with slope -3.</u>
Answer:
X = 4 & Y = 3
Step-by-step explanation:
1. Multiply the first equation by -2 & Multiply the second equation by 1
-2 (2x+3y=17)
1 (3x+6y=30)
Becomes:
−4x−6y=−34
3x+6y=30
Add these equations to eliminate y:
−x=−4
2. Then solve −x= −4 for x:
−x=−4
-x/−1 = −4/−1
(Divide both sides by -1)
x=4
Now that we've found x, plug it back in to solve for y.
Write down an original equation:
2x+3y=17
Substitute (4) for (x) in 2x+3y=17:
(2)(4)+3y=17
3y+8=17(Simplify both sides of the equation)
3y+8+−8=17+−8(Add -8 to both sides)
3y=9
3y/3 = 9/3
(Divide both sides by 3)
y=3
