Question Number 198950 by ArifinTanjung last updated on 26/Oct/23 $$\mathrm{3x}+\mathrm{2y}=\mathrm{6} \\ $$$$\mathrm{2x}+\mathrm{3y}=\mathrm{6}\:\rightarrow\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:=…? \\ $$ Answered by Rasheed.Sindhi last updated on 26/Oct/23 $$\begin{cases}{\mathrm{3x}+\mathrm{2y}=\mathrm{6}}\\{\mathrm{2x}+\mathrm{3y}=\mathrm{6}}\end{cases}\:\:\:\:\:\:\:\:\:\mathrm{x},\mathrm{y}=? \\ $$$$\mathrm{Adding}:\:\:\mathrm{5}\left(\mathrm{x}+\mathrm{y}\right)=\mathrm{12}\Rightarrow\mathrm{x}+\mathrm{y}=\frac{\mathrm{12}}{\mathrm{5}} \\…
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Question Number 198563 by mr W last updated on 22/Oct/23 $${find}\:{all}\:{numbers}\:\left({with}\:{any}\:{number}\right. \\ $$$$\left.{of}\:{digits}\right)\:{satisfying} \\ $$$$\left(\underline{{abcd}…{xyz}}\right)×\mathrm{2}=\left(\underline{{zyx}…{dcba}}\right) \\ $$ Answered by AST last updated on 25/Oct/23 $$\mathrm{2}{z}\equiv{a}\left({mod}\:\mathrm{10}\right);{a}\leqslant\mathrm{4}\Rightarrow{a}\in\left\{\mathrm{0},\mathrm{2},\mathrm{4}\right\};{a}\geqslant{z}…
Question Number 198511 by Hridiana last updated on 21/Oct/23 $$\mathrm{3}+{xy}\sqrt{\frac{{z}}{{xy}}} \\ $$$${xz}+{zx} \\ $$$${how}\:{to}\:{solve} \\ $$$$\mathrm{3}+\pi\left\{\frac{{x}}{\mathrm{2}}>\mathrm{0}\right\}=\left\{\frac{{zy}}{{x}+{z}}>{x}\right\} \\ $$$${operations} \\ $$$$\left\{{x}^{\mathrm{2}+\frac{{x}}{\mathrm{2}}} >\mathrm{0}\right\}\:{is}\:{the}\:{comparator} \\ $$ Commented by…
Question Number 198339 by cherokeesay last updated on 18/Oct/23 Answered by witcher3 last updated on 18/Oct/23 $$\mathrm{didint}\:\mathrm{existe}\: \\ $$$$\left(\mathrm{x},\mathrm{y}\right)=\left(\frac{\mathrm{1}}{\mathrm{n}},\mathrm{2}−\frac{\mathrm{1}}{\mathrm{n}}\right);\mathrm{n}\geqslant\mathrm{1} \\ $$$$\mathrm{n}\rightarrow\infty \\ $$$$\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }+\frac{\mathrm{1}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }\right)\rightarrow\infty…
Question Number 198332 by necx122 last updated on 17/Oct/23 $${Of}\:{men}\:{that}\:{attended}\:{a}\:{party},\:\mathrm{30}\:{of} \\ $$$${them}\:{wore}\:{coats},\:\mathrm{20}\:{wore}\:{ties}\:{and}\:\mathrm{10} \\ $$$${wore}\:{hats}.\:{There}\:{were}\:\mathrm{4}\:{men}\:{who}\:{wore} \\ $$$${coats}\:{and}\:{tie},\:{or}\:{tie}\:{and}\:{hat}\:{or}\:{coat}\:{and} \\ $$$${hat}.\:\mathrm{14}\:{men}\:{wore}\:{tie}\:{only}\:{with}\:{no} \\ $$$${coat}\:{and}\:{hat}.\:{Find}\:{the}\:{number}\:{of}\:{men} \\ $$$${who}\:{wore}: \\ $$$$\left.{a}\right)\:{coat},\:{tie}\:{and}\:{hat} \\…
Question Number 198296 by York12 last updated on 17/Oct/23 $${Let}\:\left\{{x}_{{r}} \right\}_{{r}=\mathrm{1}} ^{{n}} {be}\:{n}\:{positive}\:{real}\:{numbers}\:{Show}\:{That}: \\ $$$$\frac{{x}_{\mathrm{1}} }{\mathrm{1}+{x}_{\mathrm{1}} ^{\mathrm{2}} }+\frac{{x}_{\mathrm{2}} }{\mathrm{1}+{x}_{\mathrm{1}} ^{\mathrm{2}} +{x}_{\mathrm{2}} ^{\mathrm{2}} }+…+\frac{{x}_{{n}} }{\mathrm{1}+{x}_{\mathrm{1}} ^{\mathrm{2}}…
Question Number 198321 by necx122 last updated on 17/Oct/23 $${A}\:{certain}\:{preliminary}\:{science}\:{class} \\ $$$${contains}\:\mathrm{50}\:{students}\:{all}\:{of}\:{whom}\:{take} \\ $$$${Mathematics}.\:\mathrm{18}\:{study}\:{Chemistry},\:\mathrm{17} \\ $$$${study}\:{Biology},\:\mathrm{24}\:{study}\:{Physics}.\:{Of} \\ $$$${those}\:{taking}\:{three}\:{subjects},\:\mathrm{5}\:{study} \\ $$$${Physics}\:{and}\:{Chemistry},\:\mathrm{7}\:{study}\:{Physics} \\ $$$${and}\:{Biology}\:{and}\:\mathrm{6}\:{study}\:{Chemistry} \\ $$$${and}\:{Biology}\:{while}\:\mathrm{2}\:{take}\:{all}\:{four}\:{subjects}. \\…
Question Number 198319 by necx122 last updated on 17/Oct/23 $${An}\:{analysis}\:{of}\:\mathrm{100}\:{personal}\:{injury} \\ $$$${claims}\:{made}\:{upon}\:{a}\:{motor}\:{insurance} \\ $$$${company}\:{revealed}\:{that}\:{loss}\:{or}\:{injury} \\ $$$${in}\:{respect}\:{of}\:{an}\:{eye},\:{an}\:{arm}\:{or}\:{leg} \\ $$$${occurred}\:{in}\:\mathrm{30},\:\mathrm{50}\:{and}\:\mathrm{70}\:{cases},\:{respectively}. \\ $$$${Claims}\:{involving}\:{the}\:{loss}\:{or}\:{injury}\:{to} \\ $$$${two}\:{of}\:{these}\:{number}\:\mathrm{44}.\:{How}\:{many} \\ $$$${claims}\:{involved}\:{loss}\:{or}\:{injury}\:{to}\:{all} \\…
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