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aleksandr82 [10.1K]
3 years ago
12

{20,1,6,10,11} Find the subset and the proper subset.

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0
With 5 elements in A={20,1,6,10,11}, there are 2^5=32 possible subsets, including
the null set, and A itself.
Any subset that is identical to A is NOT a proper subset.
Therefore there are 31 proper subsets, plus the subset {20,1,6,10,11}.

The subsets are:
null set  {} (has no elements) ........total 1
{20},{1},{6},{10},{11}.......................total 5
{20,1},{20,6}...{10,11}.....................total 10
{20,1,6},{20,1,10},...{6,10,11}.........total 10
{20,1,6,10}...{1,6,10,11}.................total 5
{20,1,6,10,11}.................................total 1
Altogether 32 subsets.


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Using similar logic, in  1  hour,  T  paints  1/12 th of the room.

Working together in one hour, they paint  (1/6+1/12) th =1/4  of the room.

1/4  of the room is painted in  1  hour

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5 0
2 years ago
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Which of the following is an inequality sentence?
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Answer:

C. x

Step-by-step explanation:

  • Option A [x+5=20]tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
  • Option B[x=5] tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too.
  • Option C[x tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality.
  • Option D[x+5] is an expression; It can't be called an equation or an inequality unless we relate it with another expression.

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What is the max value of x and the min value of x???
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If y varies inversely as x and y=23 when x=8 find y when x=4
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<h2>INVERSE VARIATION</h2>

<em>E</em><em>Q</em><em>U</em><em>A</em><em>T</em><em>I</em><em>O</em><em>N</em><em>:</em><em> </em><em> </em><em> </em><em> </em>

y =  \frac{k}{x}

<em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em>

First, find the constant of variation <em>k</em> using the formula k=xy.

23 =  \frac{k}{8}

k = (8)(23)

k = 184

<em>–</em><em>–––––––</em>

Then, find <em>y</em> if <em>x</em> is equal to four using the formula y=184/x.

y =  \frac{184}{x}

y =  \frac{184}{4}

y = 46

<em>F</em><em>i</em><em>n</em><em>a</em><em>l</em><em> </em><em>A</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>:</em>

<h2>y = 46</h2>
5 0
2 years ago
How do I solve this?​
Neporo4naja [7]

Answer:

v = 22

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{BI}{MO} = \frac{BG}{MP} , substitute values

\frac{v}{33} = \frac{64}{96} ( cross- multiply )

96v = 2112 ( divide both sides by 96 )

v = 22

3 0
3 years ago
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