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Activity 2:Solve each proportion.
1.) 6/8 = N/16
2.)N/9 = 21/27
3.) 5/N = 10/24
4.) 9/2= N/8
5.) 12/9 = 4/N​

pasagot po bigyan ko 500 pts​


Sagot :

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  • Solve each proportion.

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1) 6/8 = N/16

Switch Sides

[tex] \frac{n}{16} = \frac{6}{8} [/tex]

Cancel the common factor: 2

[tex] \frac{N }{16} = \frac{3}{4} [/tex]

Multiply both sides by 16

[tex] \frac{16N: }{16} = \frac{3 \: • \: 16 }{4} [/tex]

So the answer will be:

[tex] N= 12[/tex]

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2) N/9 = 21/27

Cancel the common factor: 3

[tex] \frac{N}{9} = \frac{7}{9} [/tex]

Multiply both sides by 9

[tex] \frac{9N}{9} = \frac{7 \: • \: 9}{9} [/tex]

So the answer will be:

[tex]N = 7[/tex]

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3) 5/N = 10/24

Cross multiply

[tex]120 = N \: • \: 10[/tex]

Switch Sides

[tex]N \: • \: 10 = 120[/tex]

Divide both sides by 10

[tex] \frac{N \: • \: 10}{10} = \frac{120}{10} [/tex]

So the answer will be:

[tex]N = 12[/tex]

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4) 9/2 = N/8

Switch Sides

[tex] \frac{N}{8} = \frac{9}{2} [/tex]

Multiply both sides by 8

[tex] \frac{8N}{8} = \frac{9 \: • \: 8 }{2} [/tex]

So the answer will be:

[tex]N = 36[/tex]

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5) 12/9 = 4/N

Cross Multiply

[tex]12N = 36[/tex]

Divide both sides by 12

[tex] \frac{12N}{12} = \frac{36}{12} [/tex]

So the answer will be:

[tex]N = 3[/tex]

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