Answer:
h = 2.4
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
271.4 = pi ( 6)^2 *h
271.4 = 36* pi* h
Letting 3.14 = pi
271.4 = 113.04 h
Divide each side by 113.04
271.4 /113.04 = 113.04h/113.04
2.424805379 = h
Rounding to the nearest tenth
2.4 = h
OR if we use the pi button
271.4 = 36 * pi *h
Divide each side by 36 pi
271.4/36pi = h
h=2.3997
Rounding to the nearest tenth
h =2.4
Hello there!
For this you simply need to give both fractions a common denominator!
The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.
So:
1/4 --> ?/12 --> 1 (3) / 12 --> 3/12
2/3 --> ?/12 --> 2 (4) / 12 --> 8/12
Total amount of time means the sum (adding them together).
When adding fractions, you MUST have a common denominator! (Which is what we just did).
So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours
Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)
Hope this helped!
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DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
7+10x-2x-2=-3
—-Combine like terms...10x-2x=8x and 7-2=5
8x+5=-3
——subtract 5 on both sides.. the 5’s will cancel each other and -3-5=-8
8x=-8
——Divide 8 on both sides...the 8’s will cancel out and -8 divided by 8 = -1
Answer: x = -1
