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Tasya [4]
3 years ago
6

In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20 students?

Mathematics
1 answer:
Vikki [24]3 years ago
8 0
This is a combination of 20 studants, 6 to 6:

C_{2,6}=\frac{20!}{(20-6)!6!}=\frac{20!}{14!6!}=\frac{20.19.18.17.16.15.14!}{14!.6.5.4.3.2.1}=38,760 \ ways
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A young boy is growing at a rate of 3.5 cm per month. He is currently 90 cm tall. At that rate, in how many months will the boy
snow_tiger [21]
3.5x+90=132
       -90   -90
3.5x=42
x=12

4 0
3 years ago
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Hi Genius~<br><br> Can you help me please ? Thanks! Please show and explain your work :)
Murljashka [212]
The translation that maps triangle ABC to A prime B prime C prime would be a reflection across the y axis. This is because when you reflect something, you are pretty much flipping it. When you reflect across the y axis, you are flipping the triangle across the y axis. Take one point for example. I will use C. Notice how the point C is 3 units away from the y axis. So the same way you would move the point 3 units right from the y axis, and that would be your new point. This sounds kind of complicated, so I will give you a list of rules to make it more simple.


Reflection across y axis: (x,y) would be equal to (-x, y)
Reflection across x axis: (x,y) would be equal to (x, -y)
Reflection across y = x: (x,y) would be equal to (y,x)
Reflection across y = x: (x,y) would be equal to (-y,-x).

A reflection across y = x would be when you have a line that for every 1 it rises, it goes right 1. It is a positive line, as opposed to the y = -x line. It also has a slope of 1. I will try attaching a graph if I can.

Anyway, as I was saying. So pretty much if you don't want to go through the logic, to see whether a figure is reflected, just try each of these rules and if one works then you have your answer. Otherwise it would not be a reflection.

Thanks for being a great mod and hope this helps! :D
5 0
3 years ago
-1.1k= -1.21 what does k=
Stels [109]

Answer:

k=1.1

Step-by-step explanation:

-1.1k=-1.21

divide by -1.1 on both sides to cancel out the -1.1 in front of k so you just have k

<h3>k=1.1</h3><h3 /><h3>:) ur welcome</h3>
3 0
3 years ago
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KatRina [158]
#4 the answer is 90° because it's a right angle,#3 is A because you have to follow P.E.M.D.A.S
8 0
4 years ago
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Kenya exchange $200 for euros (€) suppose the conversion rate is €1 = $1.321 how many euros should kenya recieve?
____ [38]
Since 1 Euro is 1.321 in American money you must convert the value to $200
Divide 200 by 1.321
you get
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8 0
3 years ago
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