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kotykmax [81]
3 years ago
5

Write the ratio 42 inches to 9 feet as a fraction in simplest form. Explain why you get the same result whether you convert feet

to inches or convert inches to feet.
Mathematics
1 answer:
V125BC [204]3 years ago
4 0
Let's convert one of these numbers:
1 foot = 12 inches

9 feet were 9*12=108 inches

so the ratio would be 42: 108

or we can simplify it: divide by 2:
21:54

divide by 3:
7:18

A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.
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Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information​
MatroZZZ [7]

9514 1404 393

Answer:

  B.  Figure B

Step-by-step explanation:

The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.

The pyramid volume is ...

  V = 1/3Bh

  V = 1/3(4²)(9) = 48 . . . cubic units

__

The cylinder volume is ...

  V = πr²h

  V = π(1²)(48) = 48π . . . cubic units

The cylinder has π times as much volume as the pyramid. Figure B is larger.

_____

<em>Additional comment</em>

If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B80%7D%20" id="TexFormula1" title=" \sqrt[3]{80} " alt=" \sqrt[3]{80} " ali
Marianna [84]

Start by decomposing the number inside the root into primes

Then group the terms into cubes if possible

\begin{gathered} 80=2\cdot2\cdot2\cdot2\cdot5 \\ 80=2^3\cdot2\cdot5 \\ 80=10\cdot2^3 \end{gathered}

rewrite the root

\sqrt[3]{80}=\sqrt[3]{10\cdot2^3}

then cancel the terms that are cubes and bring them out of the root

\sqrt[3]{80}=2\sqrt[3]{10}

7 0
1 year ago
Factor x^2-6x-7.<br> A.(x-7)(x+1)<br> B.(x-7)(x-1)<br> C.(x+4)(x+7)<br> D.(x+7)(x-1)
Marina86 [1]
A is the answer because x^2-6x-7 is (x-7)(x+1).


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3 years ago
4 tons of sand cost $6,240.00. What is the price per pound?
Vsevolod [243]

Answer:$0.78

Step-by-step explanation:

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1 year ago
Which fraction is less than 1?
nikklg [1K]

Answer:

1/5

Step-by-step explanation:

The other answers (in order) equal 5, 1 and 1/5, and 2, so the only other option left is 1/5.

5 0
3 years ago
Read 2 more answers
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