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notka56 [123]
3 years ago
9

What is the sum of all integers that satisfy -3n<7n-20<3n

Mathematics
1 answer:
natima [27]3 years ago
4 0
First let's solve the inequality

-3n<7n-20<3n       
0<10n-20<6n         
0<10n-6n<20           
0<4n<20           
0<n<5                   

n ∈ ]0,5[

the integers in this interval are 1,2,3,4 . their sum is 10
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X2+9x+20 plz help me with it plz​
ICE Princess25 [194]

Answer:

11x + 20

Step-by-step explanation:

x2 + 9x + 20

2x + 9x + 20

11x + 20

Hope this helps!

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3 years ago
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Help with length of hypotenuse ​
Salsk061 [2.6K]

Answer:

sqrt(10) *x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + (3x)^2 = hypotenuse ^2

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Find the 63rd term for the sequence,<br> 8, 11, 14,...
Mariana [72]

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194

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6 0
3 years ago
Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $2
mr_godi [17]

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week (x), she adds $21 to her savings account:

21x+117

The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week (x), she adds $25 to her checking account:

25x+95

Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks (x) it takes until Rosha has the same amount of money in both accounts:

21x+117=25x+95

Subtract 21x from both sides of the equation:

117=4x+95

Subtract 95 from both sides of the equation:

22=4x

Divide both sides of the equation by the coefficient of x, which is 4:

5.5=x

x=5.5

So it will take five and a half weeks for her accounts to have the same amount of money.

_

Check your work by substituting 5.5 into the initial equation:

21(5.5)+117=25(5.5)+95

115.5+117=137.5+95

232.5=232.5

Since the accounts have the same amount, the answer is correct!

6 0
3 years ago
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