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WITCHER [35]
3 years ago
12

Roller king charges 2.75 plus $15 per person. Maria has $96. How may people can Maria pay for

Mathematics
2 answers:
Masteriza [31]3 years ago
7 0
So add 2.75 and 15 and get an answer and then use that  number and divide the bigger number and you will get an answer
zhenek [66]3 years ago
5 0
Maria can pay for 5 people. First add 2.75 plus $15.00. Next, divide that by 96, and you will get 5 and then a remainder.
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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
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y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

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