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Category: Arithmetic

What-is-1-5-2-3-

Question Number 22264 by kasiulka202 last updated on 14/Oct/17 $${What}\:{is}\:\mathrm{1}+\mathrm{5}\frac{\mathrm{2}}{\mathrm{3}} \\ $$ Answered by Joel577 last updated on 14/Oct/17 $$\mathrm{U}\:\mathrm{have}\:\mathrm{1}\:\mathrm{cake},\:\mathrm{and}\:\mathrm{then}\:\mathrm{u}\:\mathrm{buy}\:\mathrm{5}\frac{\mathrm{2}}{\mathrm{3}}\:\mathrm{cakes} \\ $$$$\mathrm{So},\:\mathrm{u}\:\mathrm{have}\:\mathrm{total}\:\mathrm{6}\frac{\mathrm{2}}{\mathrm{3}}\:\mathrm{cakes} \\ $$ Terms…

Question-22090

Question Number 22090 by tawa tawa last updated on 10/Oct/17 Answered by Tikufly last updated on 11/Oct/17 $$\left(\mathrm{i}\right)\:\mathrm{3},\:\:\mathrm{15},\:\:\:\mathrm{75},\:\:\:\mathrm{375},……. \\ $$$$\left(\mathrm{ii}\right)\mathrm{3},\:\:\mathrm{15},\:\:\:\mathrm{27},\:\:\:\mathrm{39},……… \\ $$ Commented by tawa…

find-approximately-and-quickly-without-calculator-54329-2467-

Question Number 22076 by ajfour last updated on 10/Oct/17 $${find}\:{approximately}\:{and}\:{quickly} \\ $$$${without}\:{calculator}\:\frac{\mathrm{54329}}{\mathrm{2467}}\:. \\ $$ Commented by ajfour last updated on 10/Oct/17 $${my}\:{way}: \\ $$$$\:\frac{\mathrm{54329}}{\mathrm{2467}}\approx\frac{\mathrm{543}.\mathrm{3}}{\mathrm{24}.\mathrm{67}}\:\approx\:\frac{\mathrm{543}.\mathrm{3}+\frac{\mathrm{1}}{\mathrm{3}}×\mathrm{22}}{\mathrm{24}.\mathrm{67}+\frac{\mathrm{1}}{\mathrm{3}}} \\…

Which-of-the-two-numbers-1-2-2-2-2-3-2-n-1-1-2-2-2-2-3-2-n-and-1-3-3-2-3-3-3-n-1-1-3-3-2-3-3-3-n-is-greater-

Question Number 87563 by Serlea last updated on 05/Apr/20 $$\mathrm{Which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two}\:\mathrm{numbers} \\ $$$$\frac{\mathrm{1}+\mathrm{2}+\mathrm{2}^{\mathrm{2}} +\mathrm{2}^{\mathrm{3}} +…+\mathrm{2}^{\mathrm{n}−\mathrm{1}} }{\mathrm{1}+\mathrm{2}+\mathrm{2}^{\mathrm{2}} +\mathrm{2}^{\mathrm{3}} +…+\mathrm{2}^{\mathrm{n}} }\:\mathrm{and}\: \\ $$$$\frac{\mathrm{1}+\mathrm{3}+\mathrm{3}^{\mathrm{2}} +\mathrm{3}^{\mathrm{3}} +…+\mathrm{3}^{\mathrm{n}−\mathrm{1}} }{\mathrm{1}+\mathrm{3}+\mathrm{3}^{\mathrm{2}} +\mathrm{3}^{\mathrm{3}} +…+\mathrm{3}^{\mathrm{n}}…

Find-the-solution-set-of-inequality-3x-4-x-2-

Question Number 153070 by bobhans last updated on 04/Sep/21 $$\:\:\:{Find}\:{the}\:{solution}\:{set}\:{of}\:{inequality} \\ $$$$\:\:\:\:\:\:\:\sqrt{\mathrm{3}{x}+\mathrm{4}}\:\geqslant\:{x}−\mathrm{2}\: \\ $$ Answered by Rasheed.Sindhi last updated on 04/Sep/21 $$\:\:\:\:\:\:\:\sqrt{\mathrm{3}{x}+\mathrm{4}}\:\geqslant\:{x}−\mathrm{2}\: \\ $$$$\:\:\:\:\:\:\:\left(\:\sqrt{\mathrm{3}{x}+\mathrm{4}}\:\geqslant\:{x}−\mathrm{2}\:\right)^{\mathrm{2}} \\…

What-is-the-last-digit-from-the-sum-of-1-2-1-2-2-2-3-2-3-50-2-50-

Question Number 21738 by Joel577 last updated on 02/Oct/17 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{last}\:\mathrm{digit}\:\mathrm{from}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of} \\ $$$$\mathrm{1}\:.\:\mathrm{2}^{\mathrm{1}} \:+\:\mathrm{2}\:.\:\mathrm{2}^{\mathrm{2}} \:+\:\mathrm{3}\:.\:\mathrm{2}^{\mathrm{3}} \:+\:…\:+\:\mathrm{50}\:.\:\mathrm{2}^{\mathrm{50}} \:? \\ $$ Answered by $@ty@m last updated on 02/Oct/17…

i-Find-the-first-three-terms-in-the-expansion-of-2-x-6-in-ascending-power-of-x-ii-Find-the-value-of-k-for-which-there-is-no-term-in-x-2-in-the-expansion-1-kx-2-x-6-

Question Number 21732 by tawa tawa last updated on 02/Oct/17 $$\left(\mathrm{i}\right)\:\mathrm{Find}\:\mathrm{the}\:\mathrm{first}\:\mathrm{three}\:\mathrm{terms}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of}\:\left(\mathrm{2}\:−\:\mathrm{x}\right)^{\mathrm{6}} \:\mathrm{in}\:\mathrm{ascending}\:\mathrm{power} \\ $$$$\mathrm{of}\:\mathrm{x}. \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{k}\:\mathrm{for}\:\mathrm{which}\:\mathrm{there}\:\mathrm{is}\:\mathrm{no}\:\mathrm{term}\:\mathrm{in}\:\mathrm{x}^{\mathrm{2}} \:\mathrm{in}\:\mathrm{the}\:\mathrm{expansion} \\ $$$$\left(\mathrm{1}\:+\:\mathrm{kx}\right)\left(\mathrm{2}\:−\:\mathrm{x}\right)^{\mathrm{6}} \\ $$ Commented by Tikufly last…