Answer:
Step-by-step explanation:
Letting "a" and "c" represent the costs of adult tickets and child tickets, the problem statement gives us two relations:
3a +5c = 52
2a +4c = 38
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We can solve this system of equations using "elimination" as follows:
Dividing the first equation by 2 we get
a +2c = 19
Multiplying this by 3 and subtracting the first equation eliminates the "a" variable and tells us the price of a child ticket:
3(a +2c) -(3a +4c) = 3(19) -(52)
c = 5 . . . . . . collect terms
a +2·5 = 19 . . substitute for c in the 3rd equation above
a = 9 . . . . . . subtract 10
One adult ticket costs $9; one child ticket costs $5.
Answer:
73
Step-by-step explanation:
ikp me le rehat se me cave koken o budalla dreqi se sna le rehat fare jevg dreqi i shkallum i ri
Answer:
0, because the house is already painted. If this isn't a riddle then, it should take 4 days because that is half the people, two times the workload per person.
Answer:
![x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%205%20%5C%20%2B%20%5C%20%5Csqrt%7B31%7D%7D%7B2%7D%20%5C%20%2C%20%5C%20x%20%3D%20%5Cfrac%7B%205%20%5C%20-%20%5C%20%5Csqrt%7B31%7D%7D%7B2%7D)
Step-by-step explanation:
![2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\](https://tex.z-dn.net/?f=2x%5E2%20-%2010x%20-%203%20%3D%200%20%5C%5C%5C%5Ca%20%3D%202%20%5C%20%2C%20b%20%3D%20-%2010%20%5C%20%2C%20%5C%20c%20%3D%20%20-%203%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B-b%5E2%5C%20%20%5Cpm%20%5C%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B10%20%5C%20%5Cpm%20%5Csqrt%7B%28-10%29%5E2%20-%20%28%204%20%5Ctimes%202%20%5Ctimes%20-3%29%7D%20%7D%7B2%20%5Ctimes%202%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B10%20%5C%20%5Cpm%20%5Csqrt%7B%28100%20-%20%28%20-24%20%29%7D%20%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B10%20%5C%20%5Cpm%20%5Csqrt%7B%28100%20%2B%2024%20%7D%20%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B%2010%20%5C%20%5Cpm%20%5Csqrt%7B124%7D%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B%2010%20%5C%20%5Cpm%20%5Csqrt%7B4%20%5Ctimes%2031%7D%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B%2010%20%5C%20%5Cpm%20%5Csqrt%7B2%5E2%20%5Ctimes%2031%7D%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B%2010%20%5C%20%5Cpm2%20%5Csqrt%7B31%7D%7D%7B4%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B%205%20%5C%20%5Cpm%5Csqrt%7B31%7D%7D%7B2%7D%5C%5C%5C%5C)
![x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%205%20%5C%20%2B%20%5C%20%5Csqrt%7B31%7D%7D%7B2%7D%20%5C%20%2C%20%5C%20x%20%3D%20%5Cfrac%7B%205%20%5C%20-%20%5C%20%5Csqrt%7B31%7D%7D%7B2%7D)