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enyata [817]
2 years ago
12

Solve x+8y/4=9y for x

Mathematics
2 answers:
nikklg [1K]2 years ago
6 0

Answer:

x = 7y

Step-by-step explanation:

x+8y/4=9y

Multiply each side by 4 to get rid of the fractions

4(x+8y/4)=9y*4

Distribute

4x +8y = 36y

Subtract 8y from each side

4x +8y-8y = 36y-8y

4x = 28y

Divide each side by 4

4x/4 = 28y/4

x = 7y

Eva8 [605]2 years ago
3 0

x+8y/4=9y

Multiply each side by 4

4(x+8y/4)=9y*4

=>4x +8y = 36y

Subtract 8y from each side

=>4x +8y-8y = 36y-8y

=4x = 28y

Divide each side by 4

=>4x/4 = 28y/4

x = 7y

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Answer:

Step-by-step explanation:

15. \frac{cotx+1}{cotx-1} = \frac{cotx+cotx.tanx}{cotx-cotx.tanx} = \frac{cotx(1+tanx)}{cotx(1-tanx)} = \frac{1+tanx}{1-tanx}   \\

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17. Do the same (16)

18. \frac{sinx}{1-cosx}+\frac{sinx}{1+cosx} = \frac{sinx(1+cosx) + sinx(1-cosx)}{(1+cosx)(1-cosx)} = \frac{sinx + sinx.cosx + sinx - sinx.cosx}{1-cos^{2}x} = \frac{2sinx}{sin^{2}x }= \frac{2}{sinx} = 2cosecx

19.

\frac{sinA}{1+cosA} + \frac{1+cosA}{sinA}=\frac{2}{sinA} \\=> \frac{sinA}{1+cosA} + \frac{1+cosA}{sinA} - \frac{2}{sinA} \\ = 0\\=> \frac{sinA}{1+cosA} + (\frac{1+cosA}{sinA} - \frac{2}{sinA} \\) = 0\\=> \frac{sinA}{1+cosA} + \frac{1+cosA-2}{sinA} = 0\\=> \frac{sinA}{1+cosA} +\frac{cosA-1}{sinA} = 0\\=> \frac{sin^{2} A+(cosA-1)(1+cosA)}{(1+cosA)sinA}=0\\=> \frac{sin^{2} A+cos^{2} A-1}{(1+cosA)sinA}=0\\=> \frac{0}{(1+cosA)sinA} =0\\

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20. Do the same (18)

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Same with (16) => Left = Right => The clause is correct

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Answer:

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8 0
3 years ago
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Answer:

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Step-by-step explanation:

ramans ratio is 2:3

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meera ratio is 1:4

similarly,

1y + 4y = 100

y = 20

so, juice in 100 ml of meera's mixture is y = 20ml

so, quanitity of juice in final mixture is 60 + 20 = 80

4 0
3 years ago
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