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Mila [183]
3 years ago
7

Write down all the subsets of {q,r,s}.

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

{<em>q</em>, <em>r</em>, <em>s</em>} consists of 3 elements, so there are 2³ = 8 possible subsets.

• empty set: { }

• every possible singleton set: {<em>q</em>}, {<em>r</em>}, {<em>s</em>}

• every possible pair: {<em>q</em>, <em>r</em>}, {<em>q</em>, <em>s</em>}, {<em>r</em>, <em>s</em>}

• the set itself: {<em>q</em>, <em>r</em>, <em>s</em>}

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tess has 100 dimes and quarters , if the total of the coins is $21.40 how many of each of the coins does she have ?? Using subst
Zanzabum

Answer: 24 and 76

Step-by-step explanation:

{

d

+

q

=

100

10

d

+

25

q

=

2140

From the first equation, we have  

d

=

100

−

q

Substituting that into the second equation, we have

10

(

100

−

q

)

+

25

q

=

2140

⇒

1000

−

10

q

+

25

q

=

2140

⇒

15

q

=

1140

⇒

q

=

1140

15

=

76

Knowing that  

q

=

76

we can substitute that value into the first equation to obtain

d

+

76

=

100

∴

d

=

24

Thus, Sue has  

24

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76

quarters.

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