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Anon25 [30]
3 years ago
13

Holly works as a cashier for $8 per hour. She also works as a math tutor for $10 per hour. Her parents only allow her to work 20

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

Answer:

Cashier

Step-by-step explanation:

because a cashier would make 160$ a week

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A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
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<em>Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).  </em>

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<em>First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."  </em>

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<em>  5x+4y=2 </em>

<em> </em>

<em>-5x     -5x  (subtract 5x from both sides to move it to the right side of your equation) </em>

<em> </em>

<em>4y = 2 - 5x </em>

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<em>/4  /4  /4 (divide all the terms by 4 to get "y" by itself) </em>

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<em>y = (1/2) - (5/4)x  ... I suggest leaving your slope as a fraction. </em>

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<em>Now, we know that our slope, m , is going to be -(5/4).  </em>

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<em>Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know: </em>

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<em>y = 5 </em>

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<em>m = -(5/4) </em>

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<em>x = 7 </em>

<em> </em>

<em> </em>

<em> </em>

<em>y=mx+b </em>

<em> </em>

<em>5=(-5/4)(7) + b  -> I plugged in what we knew for y, m, and x.  </em>

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<em>5 = -(35/4) + b  -> I multiplied the numbers in the numerator (5 x 7) to get 35/4 </em>

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<em>20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4) </em>

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<em>+(35/4) +(35/4)  -> I add (35/4) to both sides to isolate b </em>

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<em>55/4 = b ... or b = 13.74 </em>

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<em>Answer:  </em>

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<em>m = -(5/4) </em>

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<em>b = 13.75</em>

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