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Travka [436]
4 years ago
15

Solve for x 4/5(15z+20)-7z=5/6(12z-24)+6

Mathematics
1 answer:
valina [46]4 years ago
8 0

Answer: x=17z/4(3z+4)-7/2(3z+4)

Step-by-step explanation:

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3 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
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