Question Number 66767 by John Kaloki Musau last updated on 19/Aug/19 $${In}\:{a}\:{school}\:{there}\:{are}\:\mathrm{30}\:{more}\:{boys} \\ $$$${than}\:{girls}.\:{One}-{quarter}\:{of}\:{the}\:{boys} \\ $$$${and}\:{two}-{thirds}\:{of}\:{the}\:{girls}\:{are}\:{boarders}. \\ $$$${If}\:{there}\:{are}\:\mathrm{255}\:{boarders},\:{find}\:{the} \\ $$$${number}\:{of}\:{students}\:{in}\:{the}\:{school}. \\ $$ Commented by Prithwish…
Question Number 66765 by John Kaloki Musau last updated on 19/Aug/19 $${Simba}\:{had}\:\mathrm{57}\:{denomination}\:{notes} \\ $$$${which}\:{he}\:{deposited}\:{in}\:{his}\:{account}. \\ $$$${He}\:{had}\:{six}\:{times}\:{as}\:{many}\:{two}-{hundred} \\ $$$${shilling}\:{notes}\:{as}\:{one}-{thousand}\: \\ $$$${shilling}\:{notes}\:{and}\:{twice}\:{as}\:{many}\: \\ $$$${one}-{hundred}\:{shilling}\:{notes}\:{as}\:{two}- \\ $$$${hundred}\:{shilling}\:{notes}.\:{The}\:{rest}\:{were} \\…
Question Number 66756 by John Kaloki Musau last updated on 19/Aug/19 $${solve}\:{the}\:{equations}, \\ $$$${x}+{y}=\mathrm{17} \\ $$$${xy}−\mathrm{5}{x}=\mathrm{32} \\ $$ Answered by $@ty@m123 last updated on 19/Aug/19…
Question Number 66746 by John Kaloki Musau last updated on 20/Aug/19 $${A}\:{point}\:{T}\:\:{divides}\:{a}\:{line}\:{AB}\:{internally}\:{in}\:{the}\:{ratio}\:\mathrm{5}:\mathrm{2}.\:{Given}\:{that}\:{A}\:{is}\:\left(-\mathrm{4},\mathrm{10}\right)\:{and}\:{B}\:{is}\:\left(\mathrm{10},\mathrm{3}\right),\:{find}\:{the}\:{coordinates}\:{of}\:{T}. \\ $$ Answered by mr W last updated on 19/Aug/19 $${x}_{{T}} ={x}_{{A}} +\frac{\mathrm{5}}{\mathrm{7}}\left({x}_{{B}}…
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Question Number 1208 by 123456 last updated on 14/Jul/15 $$\mathrm{wich}\:\mathrm{statment}\:\mathrm{is}\:\mathrm{true} \\ $$$$\mathrm{1}.\mathrm{if}\:{x}\in\mathbb{Q}\:\mathrm{and}\:{y}\in\mathbb{Z},\:\mathrm{then}\:{xy}\in\mathbb{Q}/\mathbb{Z} \\ $$$$\mathrm{2}.\mathrm{if}\:{x}\in\mathbb{Q}/\mathbb{Z}\:\mathrm{and}\:{y}\in\mathbb{Z},\:\mathrm{then}\:{xy}\in\mathbb{Q}/\mathbb{Z} \\ $$$$\mathrm{3}.\mathrm{if}\:{x}\in\mathbb{R},\:\mathrm{then}\:\exists{y}\in\mathbb{R}\:\mathrm{such}\:\mathrm{that}\:{xy}=\mathrm{5} \\ $$$$\mathrm{4}.\mathrm{if}\:{x}\in\mathbb{N}/\left\{\mathrm{0}\right\},\:\mathrm{then}\:\exists{y}\in\mathbb{Q}\:\mathrm{such}\:\mathrm{that}\:\sqrt{\frac{{y}\left({x}+\mathrm{2}\right)}{{x}\left({x}+\mathrm{1}\right)}}\in\mathbb{Q} \\ $$ Answered by prakash jain last…
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Question Number 1196 by 123456 last updated on 13/Jul/15 $$\mathrm{lets}\:{f}:\mathbb{R}\rightarrow\mathbb{Z},\:\mathrm{suppose}\:\mathrm{that}\:\exists{x}\in\mathbb{R}\:\mathrm{and} \\ $$$$\exists{y}\in\mathbb{R}\:\mathrm{with}\:{x}\neq{y}\:\mathrm{such}\:{f}\left({x}\right)\neq{f}\left({y}\right) \\ $$$$\mathrm{can}\:{f}\left({x}\right)\:\mathrm{be}\:\mathrm{conrinuous}? \\ $$ Answered by prakash jain last updated on 14/Jul/15 $${f}\left({x}\right)={a}\in\mathbb{Z}…
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Question Number 1192 by 123456 last updated on 13/Jul/15 $$\mathrm{lets}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:\mathrm{and}\:{g}:\mathbb{Z}\rightarrow\mathbb{R}\:\mathrm{such}\:\mathrm{that} \\ $$$${f}\left({x}\right)={g}\left({x}\right),{x}\in\mathbb{Z} \\ $$$$\mathrm{given}\:{a}\in\mathbb{Z},\:\mathrm{then}\:\mathrm{proof}\:\mathrm{or}\:\mathrm{give}\:\mathrm{a}\:\mathrm{counter}\:\mathrm{example}\:\mathrm{that} \\ $$$$\underset{{x}\rightarrow{a}} {\mathrm{lim}}{f}\left({x}\right)={g}\left({a}\right) \\ $$ Commented by prakash jain last updated…