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Semenov [28]
3 years ago
8

Need help to solve this problem 5 3/5 x 8 2/3 =

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

I used to hate fractions.

So, first we have to convert the mixed fraction(with the number in front of the fraction) into a fraction without a number in front of it.

To do that we would need to 'insert' it into the numerator and then multiply it by the denominator:

5\frac{3}{5} =\frac{5*5+3}{5} =\frac{28}{5}

See? Kind of easy.

Let's do it for the second one!

8\frac{2}{3}=\frac{8*3+2}{3} =\frac{26}{3}

There could be a better way, but I forget if there is one. (I'm used to using a calculator and decimals).

So, let's multiply!

\frac{28}{5} *\frac{26}{3} =\frac{28*26}{5*3}=\frac{728}{15}

Can't be simplified more.

Hope this helps!

P.S. Stay Safe!

FYI the answer is 728/15

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How many colchicine tablets, each containing 600 mcg, may be prepared from 30 g of colchicine?
Leto [7]

Answer:

50,000 tablets may be prepared from 30g of colchicine

Step-by-step explanation:

This problem can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First Step:

The first step is knowing how many g are in a tablet.

Each gram has 1,000,000 mcg. So:

1g - 1,000,000 mcg

xg - 600 mcg

1,000,000x = 600

x = \frac{600}{1,000,000} = 0.0006

Each tablet has 0.0006g

Final step:

How many tablets may be prepared from 30g of colchicine?

1 tablet - 0.0006g

x tablets - 30g

0.0006x = 30

x = \frac{30}{0.0006}

x = 50,000

50,000 tablets may be prepared from 30g of colchicine

4 0
3 years ago
a sprinter runs 400 meters in 54 seconds. What is the runner's average running rate in meter's per second?
charle [14.2K]
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Step-by-step explanation:

7 0
3 years ago
What is the midpoint of the segment shown below
astra-53 [7]

Answer:

C )  (\frac{-9}{2},\frac{-11}{2}  )

Step-by-step explanation:

<u>Midpoint :</u> -

The midpoint formula is

(\frac{x_{1}+x_{2}  }{2 } ,\frac{y_{1}+y_{2}  }{2}).....(a)

The given points are

A(-12,-3) and B(3,-8)

substitute these points we get

(\frac{-12+3}{2},\frac{-3-8}{2})

<u>The midpoint of the segment is </u>

<u>(\frac{-9}{2},\frac{-11}{2}  )</u>

<u></u>

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drek231 [11]

Answer:

67.307

Step-by-step explanation:

30×25=750

100×80=8000

750+8000=8750

8750/130=67.307... total hits divided by total games

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