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stira [4]
3 years ago
14

2x + 12 = 1/3 (7/3x+4/3)

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

Step-by-step explanation:

2x + 12 = 1/3 (7/3x+4/3)

2x+12=\frac{1}{3}*\frac{7x}{3}+\frac{1}{3}*\frac{4}{3}\\\\2x+12=\frac{7x}{9}+\frac{4}{9}\\\\2x-\frac{7x}{9}=\frac{4}{9}-12\\\\\frac{2x*9}{1*9}-\frac{7x}{9}=\frac{4}{9}-\frac{12*9}{1*9}\\\\\frac{18x}{9}-\frac{7x}{9}=\frac{4}{9}-\frac{108}{9}\\\\\frac{18x-7x}{9}=\frac{4-108}{9}\\\\\frac{11x}{9}=\frac{-104}{9}\\\\\\x=\frac{-104*9}{11*9}=\frac{-104}{11}=-9\frac{5}{11}

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Your rise is 5 and your run is 3, your y-intercept is 0, therefore y=(5/3)x
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I read 1/3 of a book in an hour.<br> How much more of the book will I read in 2 1/5 hours
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Answer:

Step-by-step explanation:

To find the number of pages of the book in the given hour:

To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.

\sf \text{  Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }

                                                       \sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}

\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}

                                                                 \sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}

7 0
1 year ago
Read 2 more answers
Two times the sum of a number and 8 subtracted from the number equals 6. What is the number that makes this statement true?
Zanzabum

Answer:

7

Step-by-step explanation:

let the no. be 'x'

By question,

2x-8=6

or, 2x =6+8

or,2x = 14

or,x = 7

therefore, the no. is 7.

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3 years ago
A regional airport, community college, and city hall building are located at the vertices
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Answer:

Aye My Guy You Got The Answer Yet Lol

Step-by-step explanation:

8 0
3 years ago
Sold the equation. Round to the nearest hundredth. <br><br>17 · <img src="https://tex.z-dn.net/?f=1.8%5E%7B-x%2B7%7D%20%3D%205"
svetlana [45]

Answer:

Final answer is approx x=4.26.

Step-by-step explanation:

Given equation is 1.8^{-x+7} = 5

Now we need to solve equation 1.8^{-x+7} = 5 and round to the nearest hundredth.

1.8^{-x+7} = 5

\log(1.8^{-x+7}) = \log(5)

(-x+7)\log(1.8) = \log(5)

(-x+7) = \frac{\log(5)}{\log(1.8)}

(-x+7) = \frac{0.698970004336}{0.255272505103}

-x+7 = 2.73813274192

-x = 2.73813274192-7

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x =4.26186725808

Round to the nearest hundredth.

Hence final answer is approx x=4.26.

4 0
2 years ago
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