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Kobotan [32]
3 years ago
9

(3)/(2x+3)=(2)/(10x+4) Solve the proportion.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0

Answer:

x = -3/13

Step-by-step explanation:

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

--> Thus the equation becomes:

3 ⋅  (10x+4) = (2x+3) ⋅  2

--> Simplify

30x + 12 = 4x + 6

--> Combine Like Terms

26x + 12 = 6

26x = -6

--> Divide each term and simplify

x = -3/13

Hope this helps!

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Step-by-step explanation:

This is what I did:

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erica [24]

Answer:

I'll answer 6 to 10 cuz that's only what I'm able to see

Step-by-step explanation:

6.

Y-Z

= {6,4,7,2,8,3} - {2,7,8,9,10}

= {6,4,3}

7.

( Y ∪ Z ) ∩ X

= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}

= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}

= {2,3,5,8}

8.

( X ∪ Y ) ∩  ( Y ∪ Z )

= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )

= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}

= {2,3,4,6,7,8}

9.

( X ∩ Z ) ∪ ( X ∩ Y )

= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )

= {2,8} ∪ {3,8}

= {2,3,8}

10.

( X ∪ Y ) ∩ Z

= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}

= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}

= {2,7,8}

7 0
2 years ago
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