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3 years ago

6

george the glorious donated 15% of the money his magic shows made to the home for mature magicians. Last year he donated $11,500

. How much money did his magic shows make last year?

1 answer:

Norma-Jean [14]3 years ago

5 0

Answer:

$76,667 is the money what he made last year

step by step:

<em>1</em><em>1</em><em>,</em><em>5</em><em>0</em><em>0</em><em>÷</em><em>1</em><em>5</em><em>=</em><em>7</em><em>6</em><em>6</em><em>.</em><em>6</em><em>7</em>

<em>7</em><em>6</em><em>6</em><em>.</em><em>6</em><em>7</em><em>=</em><em>1</em><em>%</em>

<em>7</em><em>6</em><em>6</em><em>.</em><em>6</em><em>7</em><em> </em><em>x</em><em> </em><em>1</em><em>0</em><em>0</em><em>=</em><em> </em><em>7</em><em>6</em><em>,</em><em>6</em><em>6</em><em>7</em>

<em>7</em><em>6</em><em>,</em><em>6</em><em>6</em><em>7</em><em>=</em><em>100%</em><em>(</em><em> </em><em><u>the</u></em><em><u> </u></em><em><u>full</u></em><em><u> </u></em><em><u>amount</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>money</u></em><em><u> </u></em><em><u>he</u></em><em><u> </u></em><em><u>made</u></em><em><u> </u></em><em><u>last</u></em><em><u> </u></em><em><u>year</u></em><em><u>)</u></em>

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Answer:

The equation of required line is: $\mathbf{5x-8y+34=0}$

Step-by-step explanation:

We need to write equation in the form Ax+By+C=0 of the line parallel to $5x-8y+12=0$ and through the point (-2,3)

First we need to find slope and y-intercept of the required line.

Using equation of line $5x-8y+12=0$ to find slope.

Since the given line and required lines are parallel there slope is same.

Writing equation in slope intercept form: $y=mx+b$ where m is slope.

$5x-8y+12=0 \\-8y=-5x-12\\\frac{-8y}{-8y}=\frac{-5x}{-8}-\frac{12}{-8}\\y=\frac{5}{8}x+\frac{3}{4}$

So, the slope m = 5/8

The slope of required line is $m=\frac{5}{8}$

Now finding y-intercept using slope $m=\frac{5}{8}$ and point(-2,3)

$y=mx+b\\3=\frac{5}{8}(-2)+b\\3=\frac{-5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}$

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So, The equation of required line is: $\mathbf{5x-8y+34=0}$

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Answer:

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Step-by-step explanation:

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