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VARVARA [1.3K]
4 years ago
8

What is the product? 12x/2y x 3y2/24x3

Mathematics
1 answer:
Aleksandr [31]4 years ago
5 0

Answer:

3y/4x^2

Step-by-step explanation:

1. Multiply 12x and 3y^2 and you get 36xy^2 for the numerator.

2. Multiply 2y and 24x^3 and you get 48x^3y.

3. New fraction should be 36xy^2/48x^3y.

4. So now you subtract the exponents. x^1 and x^3. Subtract numerator by denominator so 1-3 is -2. So you put the 2 on the denominator since it is negative. As of now, you have 36y^2/48x^2y.

5. Now you do the same for y. So y^2 and y^1. So 2-1 is 1 and since it is positive, it goes on the numerator.

6. Now you have 36y/48x^2.

7. Time to simplify. So 36 and 48 are multiples of 12 so divide 36 and 48 by 12 and you get 3 and 4.

8. New fraction and ANSWER is 3y/4x^2

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3 years ago
Solve and show your work for each question a). B). C).
Andreyy89

Answer:

Step-by-step explanation:

a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48).                                   a

Use the formula s = sum of geometric series = -----------

                                                                                  1 - r

                                           0.48              48

which in this case is s = --------------- = ------------ = 48/99 = 16/33

                                          1 - 1/100        100 - 1

Check this result by finding 16/33 on a calculator.  Is the result equal to 0.484848484848.... ?  Yes

b) Here we have the bar over the 8 only.  0.48 with the bar over the 8 is equivalent to 0.4888888888 ...

                                                              0.08

or 0.4 + 0.0888888888 ...      or 0.4 + ------------

                                                                1 - 1/10

                                             

                                              0.08                       8

and this simplifies to 0.4 + ------------  =  0.4 + ---------

                                                9/10                      90

Evaluating this last result on a calculator results in 0.488888888 ...

c)  0.48 expressed as a fraction is  48/100 = 12/25

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