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kkurt [141]
3 years ago
12

What are the steps to this equation

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
6 0

Answer:

x=7

Step-by-step explanation:

\frac{2}{5}x+\frac{1}{3}=\frac{1}{3}x+\frac{4}{5}

Subtract \frac{1}{3} from both sides:

\frac{2}{5}x+\frac{1}{3}-\frac{1}{3}=\frac{1}{3}x+\frac{4}{5}-\frac{1}{3}

\frac{2}{5} x=\frac{1}{3}x+\frac{12}{15}-\frac{5}{15}

\frac{2}{5}x=\frac{1}{3}x+\frac{7}{15}

Subtract \frac{1}{3} x from both sides:

\frac{2}{5}x-\frac{1}{3}x=\frac{1}{3}x+\frac{7}{15}-\frac{1}{3}x

\frac{6}{15}x-\frac{5}{15}x=\frac{7}{15}

\frac{1}{15}x=\frac{7}{15}

Multiply both sides by 15:

15\times \frac{1}{15}x=\frac{7\times 15}{15}

x=\frac{105}{15}

x=7

Elina [12.6K]3 years ago
4 0

Answer:

x=7 is the correct answer

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Answer:

= 7

Step-by-step explanation:

\frac{ {7}^{8} \times  {7}^{3}  \times  {7}^{4}  }{ {7}^{9}  \times  {7}^{5} }  \\  =  \frac{ {7}^{8 + 3 + 4} }{ {7}^{9 + 5} } \\  =  \frac{ {7}^{15} }{ {7}^{14} }   \\  =  {7}^{15 - 14}  \\  = 7

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3 years ago
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Eduardwww [97]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.
tatuchka [14]

Answer:

y=\dfrac{7}{5}x-\dfrac{67}{5}

Step-by-step explanation:

<u>Slope-intercept form of a linear equation:</u>

 y=mx+b

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  • m is the slope.
  • b is the y-intercept.

<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:

\implies -5x-7y=-17

\implies -7y=5x-17

\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}

Therefore, the slope of the given equation is -⁵/₇.

If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1.  Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

\sf m=\dfrac{7}{5}

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:

\implies -5=\dfrac{7}{5}(6)+b

\implies -5=\dfrac{42}{5}+b

\implies b=-\dfrac{67}{5}

<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

\implies y=\dfrac{7}{5}x-\dfrac{67}{5}

Learn more about slope-intercept form here:

brainly.com/question/27317293

brainly.com/question/27926846

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2 years ago
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Step2247 [10]

Answer:

A

Step-by-step explanation:

There are 270 minutes in 4.5 hrs.

divide that by 45, you get 6.

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