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bulgar [2K]
3 years ago
8

What conjecture can you make about the number of dots in the nth pattern.

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer:

\frac{n(n + 1)}{2}

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Step-by-step explanation:

20,000 students 50% are accepted so that is 10,000 students of that 10,000 only 25% enroll which is 2,500.

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The table represents the multiplication of two binomials.
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3 0
2 years ago
Kathy bicycles 8km/h faster than Dennis. In my he same time it takes Dennis to bicycle 36 km, Kathy can bicycle 60 km. How fast
Sergeeva-Olga [200]

Dennis = 12 km'h

Kathy = 20 km/h

Step-by-step explanation:

  • Lets first establish  that time is the same for both Kathy and Dennis and we can therefore assign is the value of <em>t</em>
  • Kathy is cycling 8km/h faster than Dennis. Therefore if Dennis is doing <em>x </em>km/h Kathy is doing (<em>x</em>+8)km/h
  • If it takes Kathy<em> t </em>time to cycle for 60 km at (<em>x</em>+8)km/h, we can derive the time <em>t </em>as;

(<em>x</em>+8)* <em>t </em>= 60

<em>t</em> = 60/(<em>x</em>+8)

  • We can now use this time to establsish how fast Dennis is cycling. Dennis, using a speed of <em>x</em> km/h takes the same time (60/(<em>x</em>+8)) to cycle for 36 km. Therefore;

<em>x</em> * 60/(x+8) = 36

= 60x/(x+8) = 36

36 (x + 8) = 60x

36x + 288 = 60x

288 = 60x – 36x

288 = 24x

12 =<em> x </em>

Dennis is cycling at 12 km/h

Kathy is doing x + 8

= 12 + 8 = 20 km/h

Learn More:

For more on deriving equations check out;

brainly.com/question/11888968

brainly.com/question/7742981

#LearnWithBrainly

8 0
3 years ago
PLEASE HELP!!! Solving equations with substitution! I don't really know how to solve it.
Kipish [7]

Answer:

x = 1

y = 2

Step-by-step explanation:

y = 2x

-6x + 6y = 6

-6x + 6(2x) =6    Substitute the fist equation for the value of y

-6x + 12x = 6     Combine like terms

6x = 6     divide

x = 1

Then, substitute the value of x in the equation for y

y = 2x    y = 2(1)

              y = 2

8 0
3 years ago
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