Tuesday : find the value of x .
Solution 1) :-
![(2)/(5) = (x)/(15)](https://img.qammunity.org/2021/formulas/mathematics/high-school/z6rqog46twhd99c6t662hvjeu0k4irj2w3.png)
![2 * 15 = 5 * x](https://img.qammunity.org/2021/formulas/mathematics/high-school/auugr6vzole2legxvavtinhlinhv2ngdj1.png)
![30 = 5x](https://img.qammunity.org/2021/formulas/mathematics/high-school/wvexfwdgko9h92bz0cws4jhl6vmq05omw9.png)
![5x = 30](https://img.qammunity.org/2021/formulas/mathematics/high-school/4riefc613n2ioslnmtypcje5idwilmia1l.png)
![x = (30)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4v6fuz1lzgam66v5b70gywin17h6maiuc3.png)
![x = 6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rfxeu0rgxtdic6lqlcq5waa012fmosd2e9.png)
Therefore , the value of x = 6 .
Solution 2) :-
![(18)/(x) = (6)/(10)](https://img.qammunity.org/2021/formulas/mathematics/high-school/pjfbza6kibnc5xj893h2rcdf4cov1rm4q0.png)
![18 * 10 = 6 * x](https://img.qammunity.org/2021/formulas/mathematics/high-school/etoq7j3ssgtx7zkpdb1l22nyc1mhfahrnp.png)
![180 = 6x](https://img.qammunity.org/2021/formulas/mathematics/high-school/nfwt95ufkgl2a3tnvffa779mhcbrizx7x1.png)
![6x = 180](https://img.qammunity.org/2021/formulas/mathematics/college/jcaazibnjoirxohl1jxj2gajyx1qlkwy2i.png)
![x = (180)/(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/3ioqzlndw3zsn9a0fm91n5qygzz2wqnp3c.png)
![x = 30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d3cwjxrewnzk8ks20k6oqvzy9gpf2ionds.png)
![(18)/(30) = (6)/(10)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xz2u0494ou97whveswvrkyf2h617u120i7.png)
Therefore , the value of x = 30.
Solution 3):-
![(x)/(6) = (30)/(36)](https://img.qammunity.org/2021/formulas/mathematics/high-school/k3szn6vvu6y1sfn14coj37bamrqfnw3uv2.png)
![x * 36 = 30 * 6](https://img.qammunity.org/2021/formulas/mathematics/high-school/9iegum9hxxv1gvtfkp56vlrl1bf38dmiac.png)
![36x = 180](https://img.qammunity.org/2021/formulas/mathematics/high-school/luori333dk2axyjfbs0zhgdmwxmih1e02o.png)
![x = (180)/(36)](https://img.qammunity.org/2021/formulas/mathematics/high-school/yu913ynjefbjqs1i75cdwxun4dztv68sy9.png)
![x = 5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sujnxaspfa8gos6wnx2ntn2ley38gfuk9z.png)
![(5)/(6) = (30)/(36)](https://img.qammunity.org/2021/formulas/mathematics/high-school/o9benp1clk4534vu516ggs5cad9yo0dl7t.png)
Therefore , the value of x = 5 .
Solution 4) :-
![(2)/(7) = (x)/(49)](https://img.qammunity.org/2021/formulas/mathematics/high-school/j9u6uqowraauvrk73yamng19mbq7hwbl80.png)
![2 * 49 = 7 * x](https://img.qammunity.org/2021/formulas/mathematics/high-school/h2vgupl5g8ojl1i7ynqom8ql43kab9s2vi.png)
![7x = 98](https://img.qammunity.org/2021/formulas/mathematics/high-school/qzfsgi7c3jvcaekyo5lxn0vryjs6w2f41l.png)
![x = (98)/(7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/h4zyldacflcud3to7520q4coo0cspq8a1p.png)
![x = 14](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d0o39rzhefit9rtelhq51fltqih97xv400.png)
![(2)/(7) = (14)/(49)](https://img.qammunity.org/2021/formulas/mathematics/high-school/tqib2o9muklggtpma5dxyenrstbtbxaqvo.png)
Therefore , the value of x = 14 .
Wednesday : find the value of m .
Solution 5) :-
![(4)/(m) = (16)/(40)](https://img.qammunity.org/2021/formulas/mathematics/high-school/b2qk3kbulaujwj9soduk84252i4fq6wphs.png)
![4 * 40 = 16 * m](https://img.qammunity.org/2021/formulas/mathematics/high-school/1g51orie00hrs3ge5cghs3c1e1flzcigky.png)
![160 = 16x](https://img.qammunity.org/2021/formulas/mathematics/high-school/f0hrei5fouh7obbx9hzli6ag0mqzfbbc6p.png)
![x = (160)/(16)](https://img.qammunity.org/2021/formulas/mathematics/high-school/gob4nngvg9sqc5nqlysinprabymtlippco.png)
![x = 10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gwot6ylqcy58ja7tb07muh9lk3ac30atr9.png)
![(4)/(10) = (16)/(40)](https://img.qammunity.org/2021/formulas/mathematics/high-school/whwgt1qv4zhkc9g0n1femkt3k3x1exiw0z.png)
Therefore , the value of m = 10 .
Solution 6) :-
![(3)/(m) = (12)/(75)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ypdgq40i1gto5n0n7jm0x5jge6hjoekeea.png)
![3 * 75 = 12 * m](https://img.qammunity.org/2021/formulas/mathematics/high-school/l7wv3ee9fxee09spzgifincjd20093lrjs.png)
![225 = 12m](https://img.qammunity.org/2021/formulas/mathematics/high-school/z75poli0bwrd0ksvbthr6m7nyiffpcsp88.png)
![m = (225)/(12)](https://img.qammunity.org/2021/formulas/mathematics/high-school/854ajavdmveap7gcokhu7vhz93nnlb3dlx.png)
![m = 18.75](https://img.qammunity.org/2021/formulas/mathematics/high-school/6z11ysimoiywheqf5rophajrxvntpgq5kh.png)
![(3)/(18.75) = (12)/(75)](https://img.qammunity.org/2021/formulas/mathematics/high-school/jtfv1p8gdiijld5t4hks1bupddnfia5iti.png)
Therefore , the value of m = 18.75 .
Solution 7) :-
![(0.5)/(3) = (1)/(m)](https://img.qammunity.org/2021/formulas/mathematics/high-school/54hbvsaa1oh4ojux0l7tbeozuj3oyvlaur.png)
![0.5m = 3 * 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/4s0rqhyxzw0hi73nee3m2krbx6ccqoavxl.png)
![0.5 m= 3](https://img.qammunity.org/2021/formulas/mathematics/high-school/m497pq3ph8qqhkwdgnlw9kw9rq5o70qcy1.png)
![m = (3)/(0.5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ve6qw6808jvtn6j8yqnc74xurm4g0txcf1.png)
![m = 6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lysr09s2ksp09rbhnpeq36u8b49izco6ry.png)
![(0.5)/(3) = (0.6)/(1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/kgfo5d2r4momq1t2t27q8pfb0oyque2qjp.png)
Therefore , the value of m = 0.6 .
Solution 8) :-
![(6)/(7) = (m)/(56)](https://img.qammunity.org/2021/formulas/mathematics/high-school/m0c7f7zxdkcaid6np8ejvy0axx2fxmjdpm.png)
![6 * 56 = 7 * m](https://img.qammunity.org/2021/formulas/mathematics/high-school/fry9g8609p14p4pvlmgbx30pobl4h8idiy.png)
![7m = 336](https://img.qammunity.org/2021/formulas/mathematics/high-school/u0omj1yewn9qym70lr4g7fdemejo46o188.png)
![m = (336)/(7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/mguolf9mvlceo7lhf4kxbw32avpo9l5x55.png)
![m = 48](https://img.qammunity.org/2021/formulas/mathematics/high-school/3nxpjx5bz6kgtceq2m9xevlhuniqmxs7zt.png)
![(6)/(7) = (48)/(56)](https://img.qammunity.org/2021/formulas/mathematics/high-school/73rsp76shki3a8udhjixnv5qxtpj4dwja7.png)
Therefore , the value of m = 48 .