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Leto [7]
2 years ago
10

What is the slope of the line? x+3y=100

Mathematics
1 answer:
Dima020 [189]2 years ago
8 0

Answer:

y= (100 - x) / 3 or y= (100/3) - (1x/3)

Step-by-step explanation:

1) subtract x

2) divide the entire equality by 3

3) Solve

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What is 20% tip on a bill of 59.61
Ugo [173]

Answer:

about $12

Step-by-step explanation:

59.61(0.20)=11.922

11.922 rounded up is 12.

ur total bill would be $71.61

5 0
3 years ago
How do you solve his with working
AlexFokin [52]
Check the picture below.

a)

so the perimeter will include "part" of the circumference of the green circle, and it will include "part" of the red encircled section, plus the endpoints where the pathway ends.

the endpoints, are just 2 meters long, as you can see 2+15+2 is 19, or the radius of the "outer radius".

let's find the circumference of the green circle, and then subtract the arc of that sector that's not part of the perimeter.

and then let's get the circumference of the red encircled section, and also subtract the arc of that sector, and then we add the endpoints and that's the perimeter.

\bf \begin{array}{cllll}
\textit{circumference of a circle}\\\\ 
2\pi r
\end{array}\qquad \qquad \qquad \qquad 
\begin{array}{cllll}
\textit{arc's length}\\\\
s=\cfrac{\theta r\pi }{180}
\end{array}\\\\
-------------------------------

\bf \stackrel{\stackrel{green~circle}{perimeter}}{2\pi(7.5) }~-~\stackrel{\stackrel{green~circle}{arc}}{\cfrac{(135)(7.5)\pi }{180}}~+
\stackrel{\stackrel{red~section}{perimeter}}{2\pi(9.5) }~-~\stackrel{\stackrel{red~section}{arc}}{\cfrac{(135)(9.5)\pi }{180}}+\stackrel{endpoints}{2+2}
\\\\\\
15\pi -\cfrac{45\pi }{8}+19\pi -\cfrac{57\pi }{8}+4\implies \cfrac{85\pi }{4}+4\quad \approx \quad 70.7588438888



b)

we do about the same here as well, we get the full area of the red encircled area, and then subtract the sector with 135°, and then subtract the sector of the green circle that is 360° - 135°, or 225°, the part that wasn't included in the previous subtraction.


\bf \begin{array}{cllll}
\textit{area of a circle}\\\\ 
\pi r^2
\end{array}\qquad \qquad \qquad \qquad 
\begin{array}{cllll}
\textit{area of a sector of a circle}\\\\
s=\cfrac{\theta r^2\pi }{360}
\end{array}\\\\
-------------------------------

\bf \stackrel{\stackrel{red~section}{area}}{\pi(9.5^2) }~-~\stackrel{\stackrel{red~section}{sector}}{\cfrac{(135)(9.5^2)\pi }{360}}-\stackrel{\stackrel{green~circle}{sector}}{\cfrac{(225)(7.5^2)\pi }{360}}
\\\\\\
90.25\pi -\cfrac{1083\pi }{32}-\cfrac{1125\pi }{32}\implies \cfrac{85\pi }{4}\quad \approx\quad 66.75884

7 0
3 years ago
The average number of Instagram likes per day for Mr. Tutaks class was recorded and constructed into the following box plot
goldfiish [28.3K]

Answer:

Picture?

Step-by-step explanation:

4 0
3 years ago
The vertex of this parabola is at (-3, 6). Which of the following could be its equation?
pishuonlain [190]
Since the vertex is at (-3, 6), the equation is given by
y = a(x + 3) + 6

Therefore, option A is the correct answer.
6 0
3 years ago
Voting An appropriations bill passes the U.S. House of Representatives with 49 more members voting in favor than against. If all
sukhopar [10]

Answer:

242 members voted in favor while 193 members voted against

Step-by-step explanation:

Let those that voted against be x will those in favor will be (x+49)

Since today number of voters is 435

To find x

X + (x+49) = 435

2x + 49 = 435

2x = 435 - 49

2x = 386

X = 386/2

X = 193

Therefore, those against is 193 while this in favor is 193+49 = 242

6 0
3 years ago
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