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taurus [48]
3 years ago
10

Divide and simplify 5/12÷20/36

Mathematics
1 answer:
gregori [183]3 years ago
3 0
Hello there! The formula for dividing fraction is keep, change, flip. You keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. In this case, 5/12 remains the same, division becoems multiplication, and 20/36 flips over to become 36/20. So the expression becomes this:

5/12 * 36/20

Now, we multiply straight across. 5 * 36 is 180. 12 * 20 is 240. 180/240 is 3/4 in simplest form. There. The quotient is 3/4.
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A. 11 cm^3<br> B. 14 cm^3<br> C. 15 cm^3<br> D. 25 cm^3
IgorLugansk [536]
Lets get started :)

We need to find the radius of the larger cylinder

V = \pir²h
960 = \pir²(16)
\frac{960}{16} = \pi r^2
60 = \pi r^2
\frac{60}{ \pi } = r^2
r = \sqrt{ \frac{60}{ \pi } }
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The ratio of the bigger cylinder to smaller is:
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Therefore, the big cylinder is 4 times bigger than the small cylinder

\frac{4.37}{4} = r
r = 1.09 cm (radius of small cyclinder)

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Your answer will be C. 15 cm³

3 0
3 years ago
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Alex needed proceeds of $12,345. How much does he need to take out at 6% interest for 120 days to receive proceeds of $12,345? p
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3 years ago
(2, infinity)<br> What is the answer to this question? <br> Please help
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Answer:

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5 0
3 years ago
Find the 50th term of the sequence 5, -2, -9, -16, ...
Elodia [21]

Answer:

-338

Step-by-step explanation:

So we have the sequence:

5, -2, -9, -16...

First, note that this is an arithmetic sequence.

This is because each individual term is the previous term <em>added</em> by a common difference.

We can see that this common difference is -7, because each subsequent term is 7 <em>less</em> than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.

So, to find the 50th term, we can write an explicit formula for our sequence.

The standard form for the explicit formula for an arithmetic sequence is:

x_n=a+d(n-1)

Where a is the initial term, d is the common difference, and n is the nth term.

We can see that our initial term a is 5. And we also already determined that the common difference d is -7. So, substitute:

x_n=5-7(n-1)

Now, to find the 50th term, all we have to do is to substitute 50 for n. So:

x_{50}=5-7(50-1)

Subtract within the parentheses:

x_{50}=5-7(49)

Multiply:

x_{50}=5-343

Subtract:

x_{50}=-338

So, the 50th term is -338.

And we're done!

8 0
3 years ago
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