Algebra – Page 633

Find-the-least-possible-value-of-x-8x-24-mod-16-i-3x-6-mod-25-ii-

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Question Number 91732 by I want to learn more last updated on 02/May/20 $Find the least possible value of x$ $8 x \equiv 24 (\mod 16) \dots . (i)$ $3 x \equiv 6 (\mod 25) \dots . (ii)$ Commented by mr W last…

Solve-for-real-numbers-1-sin-2k-x-1-cos-2k-x-8-k-Z-

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Question Number 157258 by MathSh last updated on 21/Oct/21 $Solve for real numbers :$ $\frac{1}{\sin^{2 k} (x)} + \frac{1}{\cos^{2 k} (x)} = 8; k \in Z$ Commented by mr W last updated on 21/Oct/21 $$\left(\frac{\mathrm{1}}{\mathrm{sin}^{\mathrm{2}}…

SOLVE-x-2x-3x-1-

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Question Number 157231 by mnjuly1970 last updated on 21/Oct/21 $SOLVE :$ $⌊ x ⌋ + ⌊ 2 x ⌋ + ⌊ 3 x ⌋ = 1$ $- - - - - - - - - -$ Answered by Javokhir…

solve-equations-x-x-y-y-31-and-x-y-5-

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Question Number 91688 by s.ayeni14@yahoo.com last updated on 02/May/20 $s o l v e e q u a t i o n s x^{x} + y^{y} = 31 a n d x + y = 5$ Commented by mr W last updated on 02/May/20 $i t h i n k y o u k n o w b y y o u r s e l f x = 2, y = 3$ $${since}\:\mathrm{2}^{\mathrm{2}}…

ratio-of-income-of-two-persons-is-9-is-to-7-ratio-of-their-expenses-is-4-is-to-3-every-person-saves-rupees-200-find-income-of-each-

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Question Number 26153 by bbbbbb last updated on 21/Dec/17 $r a t i o o f i n c o m e o f t w o p e r s o n s i s$ $9 i s t o 7 . r a t i o o f t h e i r e x p e n s e s$ $i s 4 i s t o 3 . e v e r y p e r s o n s a v e s$ $r u p e e s 200 . f i n d i n c o m e o f e a c h .$ Answered by ajfour last updated on 21/Dec/17…

Question-157222

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Question Number 157222 by amin96 last updated on 21/Oct/21 Answered by Dimitri_01 last updated on 21/Oct/21 $A = \underset{n = 1}{\sum^{25}} \frac{1}{n (n + 100)} = \frac{1}{100} \underset{n = 1}{\sum^{25}} \frac{(n + 100) - n}{n (n + 100)}$ $$\:\:\:\:=\frac{\mathrm{1}}{\mathrm{100}}\underset{{n}=\mathrm{1}} {\overset{\mathrm{25}} {\sum}}\left(\frac{\mathrm{1}}{{n}}−\frac{\mathrm{1}}{{n}+\mathrm{100}}\right)=\frac{\mathrm{1}}{\mathrm{100}}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{101}}+\frac{\mathrm{1}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{102}}+\frac{\mathrm{1}}{\mathrm{3}}−\frac{\mathrm{1}}{\mathrm{103}}+\centerdot\centerdot\centerdot+\frac{\mathrm{1}}{\mathrm{25}}−\frac{\mathrm{1}}{\mathrm{125}}\right)…

Question-157223

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Question Number 157223 by amin96 last updated on 21/Oct/21 Answered by Rasheed.Sindhi last updated on 21/Oct/21 $$\underset{−} {\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} }+\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}}…

x-1-2-find-x-1-x-2-1-

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Question Number 157220 by MathSh last updated on 21/Oct/21 $x = \frac{1}{2}$ $find \sqrt{x + 1 + \sqrt{x^{2} + 1}} = ?$ Answered by Rasheed.Sindhi last updated on 21/Oct/21 $$\mathrm{x}=\frac{\mathrm{1}}{\mathrm{2}};\:\:\sqrt{\mathrm{x}\:+\:\mathrm{1}\:+\:\sqrt{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{1}}}\:=\:? \…

There-are-5-more-girls-than-boys-in-a-class-If-2-boys-join-the-class-the-ratio-of-girls-to-boys-will-be-5-4-Find-the-number-of-of-girls-in-the-class-

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Question Number 26147 by pieroo last updated on 21/Dec/17 $There are 5 more girls than boys in a class . If 2 boys join$ $the class, the ratio of girls to boys will be 5 : 4 . Find the$ $number of of girls in the class .$ Answered by ajfour last updated on 21/Dec/17 $${g}={b}+\mathrm{5}\:={b}+\mathrm{2}+\mathrm{3}\:\:\:\:\:\:\:….\left({i}\right) \…

2000-3000-vs-3000-2000-who-is-stronger-

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Question Number 26143 by chantriachheang last updated on 21/Dec/17 $2000^{3000} v s 3000^{2000}$ $w h o i s s t r o n g e r ?$ Commented by Tinkutara last updated on 22/Dec/17 You can look at my question number 21781. Also this link is helpful: https://artofproblemsolving.com/community/c4h1522793…

Category: Algebra