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A-car-is-driving-It-most-arrive-at-destination-situated-at-2046-m-It-has-travelled-2m-the-first-day-4-m-the-second-8m-the-thirst-16-the-fourth-day-How-many-days-is-necessary-to-arrive-at-d

Question Number 100464 by mathocean1 last updated on 26/Jun/20 $${A}\:{car}\:{is}\:{driving}.\:{It}\:{most}\:{arrive} \\ $$$${at}\:{destination}\:{situated}\:{at}\:\mathrm{2046}\:{m}. \\ $$$${It}\:{has}\:{travelled}\:\mathrm{2}{m}\:{the}\:{first}\:{day},\: \\ $$$$\mathrm{4}\:{m}\:{the}\:{second},\:\mathrm{8}{m}\:{the}\:{thirst},\:\mathrm{16} \\ $$$${the}\:{fourth}\:{day}\:… \\ $$$${How}\:{many}\:{days}\:{is}\:{necessary}\:\:{to}\: \\ $$$${arrive}\:{at}\:{destination}? \\ $$ Commented…

There-are-two-numbers-n-1-and-n-2-they-are-composed-by-three-digits-the-sum-of-3-digits-that-compose-n-1-is-15-the-first-digit-of-n-2-is-the-second-digit-of-n-1-and-the-first-d

Question Number 100465 by mathocean1 last updated on 26/Jun/20 $${There}\:{are}\:{two}\:{numbers}\:{n}_{\mathrm{1}\:} {and}\:{n}_{\mathrm{2}\:\:\:\:\:\:} . \\ $$$${they}\:{are}\:{composed}\:{by}\:{three}\:{digits}. \\ $$$${the}\:{sum}\:{of}\:\mathrm{3}\:{digits}\:{that}\:{compose}\:{n}_{\mathrm{1}} \\ $$$$\:{is}\:\:\mathrm{15}.\:{the}\:{first}\:{digit}\:{of}\:{n}_{\mathrm{2}\:} {is}\:{the}\: \\ $$$${second}\:{digit}\:{of}\:{n}_{\mathrm{1}} \:{and}\:{the}\:{first}\: \\ $$$${digit}\:{of}\:{n}_{\mathrm{1}} \:{is}\:{also}\:{the}\:{second}\:{digit}\:{of}…

Question-100409

Question Number 100409 by Algoritm last updated on 26/Jun/20 Commented by bramlex last updated on 26/Jun/20 $$\frac{\frac{\mathrm{3}}{\mathrm{2}}×\mathrm{4}^{{x}} }{\mathrm{4}^{{x}} −\mathrm{9}^{{x}} }\:>\:\mathrm{3}+\:\left(\frac{\mathrm{4}}{\mathrm{9}}\right)^{{x}} \\ $$$$\frac{\mathrm{3}.\left(\frac{\mathrm{4}}{\mathrm{9}}\right)^{{x}} }{\mathrm{2}\left\{\left(\frac{\mathrm{4}}{\mathrm{9}}\right)^{{x}} −\mathrm{1}\right\}}\:>\:\mathrm{3}+\left(\frac{\mathrm{4}}{\mathrm{9}}\right)^{{x}} \\…

Question-165942

Question Number 165942 by Bagus1003 last updated on 10/Feb/22 Commented by naka3546 last updated on 10/Feb/22 $$\mathrm{Properties}\:\:\mathrm{of}\:\:\mathrm{a}\:\mathrm{triangle} \\ $$$${a}\:+\:{b}\:>\:{c} \\ $$$${a}\:+\:{c}\:>\:{b} \\ $$$${b}\:+\:{c}\:>\:{a} \\ $$$$…

Question-34850

Question Number 34850 by mondodotto@gmail.com last updated on 11/May/18 Answered by MJS last updated on 11/May/18 $${A}…….\frac{\mathrm{1}}{\mathrm{3}}\:\mathrm{tank}/\mathrm{min}. \\ $$$${B}…….\frac{\mathrm{1}}{\mathrm{4}}\:\mathrm{tank}/\mathrm{min}. \\ $$$$\left(\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}}\right)×{t}_{\mathrm{1}} \:\mathrm{min}.=\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{tank} \\ $$$$\frac{\mathrm{7}}{\mathrm{12}}{t}_{\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{2}}…

x-y-y-x-3-2-x-y-xy-9-

Question Number 165881 by bounhome last updated on 09/Feb/22 $$\begin{cases}{\sqrt{\frac{{x}}{{y}}}−\sqrt{\frac{{y}}{{x}}}=\frac{\mathrm{3}}{\mathrm{2}}}\\{{x}+{y}+{xy}=\mathrm{9}}\end{cases} \\ $$ Answered by Rasheed.Sindhi last updated on 09/Feb/22 $$\begin{cases}{\sqrt{\frac{{x}}{{y}}}−\sqrt{\frac{{y}}{{x}}}=\frac{\mathrm{3}}{\mathrm{2}}}\\{{x}+{y}+{xy}=\mathrm{9}}\end{cases} \\ $$$$\sqrt{\frac{{x}}{{y}}}\:={a}: \\ $$$${a}−\frac{\mathrm{1}}{{a}}=\frac{\mathrm{3}}{\mathrm{2}} \\…