The sum of a number and twenty-one is sixty-four. what is the value of the number?

Mathematics

2 answers:

Alchen [17]3 years ago

5 0

The values of the number is 43

x+21=64

subtract 21 on each side

x = 43

sveta [45]3 years ago

5 0

The value is 43 ;64-21

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Step-by-step explanation:

LCM = Least Common Multiple

To find the LCM, start by listing multiples, or the product of any two numbers.

5: 5, 10, 15, 20, 25, 30, 35...

25: 25, 50, 75, 100, 125, 150, 175...

Now, let's find the LCM by selecting the smallest shared multiple out of the lists we made.

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Therefore, 25 is the LCM of 5 and 25.

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Pie

Let's begin ! ^_^

You have got informations in your problem that you just have to translate in a "mathematic language".

Company A :
"$40 membership fee and $2 per video stream."

Thanks to that, you can guess :
c = 40 + 2s

Now let's do the same thing to the company B.

Company B :
"charges a one-time $20 membership fee and $4 per video stream."

Therefore, c = 20 + 4s.

I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is :

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c=20+4s.

Second step : For how many video streams will the cost be the same for both companies?

We just have to solve the system :) And there is only one variable, the letter "s".

We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so :

=> 40 + 2s = 20 +4s
=> 4s - 2s = 40 - 20
=> 2s = 20
=> s = 20/2
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Verification :

Company A :
=> 40 + 2s = 40 + 2*10 = 40 + 20 =60.

Company B :

=> 20 + 4s = 20 + 4*10 = 20 + 40 = 60

As you have seen, the costs are the same for both companies.

We can say that as a conclusion for 10 video streams, the cost will be the same for both companies.

In short, the answer would be : 10.

Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language.

Hope this helps !

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