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olga55 [171]
3 years ago
8

Find all sets of three consecutive integers whose sums are greater than 102 and less than 109

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0
Let x be the number.

Then:
(x)+(x+1)+(x+2)>102
(x)+(x+1)+(x+2)<109

x+x+1+x+2
3x+3>102
3x>102-3
3x>99
x>22

3x+3<109
3x<109-3
3x<106
x<35.33

Therefore, the number can be bigger than 22 but less than 35.333 to meet the requirements.

Hope I helped :)
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Answer:

One edge of the cube is 5 cm, one edge of the square is 8 cm, so the edge of the cube is 3 cm shorter than the edge of the square.

Step-by-step explanation:

<h3 /><h3>The volume of the cube is found by the formula </h3><h2>V = s³, </h2><h3>where s is the side length (called the edge in this problem)</h3><h3>Since V = 125 cm³, we can take the cube root of 125 to find the edge length.</h3><h3>The cube root of 125 is 5, ( 5³ = 125)</h3><h3>So the edge of the cube is 5 cm</h3><h3 /><h3>The are of a square is found by the formula </h3><h2>A = s² ,  </h2><h3>where s is the side length (called the edge in this problem) </h3><h3>Since A = 64 cm², we can take the square root of 64 to find the edge length.</h3><h3>The square root of 64 is 8  (8² = 84)</h3><h3>So the edge of the square is 8cm</h3><h3 /><h3>Comparing the two edges tells us that the edge of the cube is 3cm shorter than the edge of the square.</h3>
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I hope this helps you



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2square roof 61
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Vsevolod [243]
<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

As written, it is evaluated as ...

... 47 + 9/8 . . . . . . . . parentheses are evaluated first

... = 47 + 1 1/8 . . . . . . then division

... = 48 1/8 . . . . . . . . then addition

_____

A decent calculator will evaluate this for you according to the order of operations. A Google or Bing search box will do that, too.

7 0
3 years ago
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