Mathematics: Solve 2 1/2 divided by 5 1/3 = 8/x

See explanationsStep-by-step explanation:The first equation is:The second equation is To eliminate t, Andre can multiply the first equation by -2 and the second equation by 9 to obtain:When he adds the two equations he gets:If Andre wants to eliminate s, he can multiply the first equation by 7 and multiply the second equation by 8 to get:He then subtracts to get: There are other few ways Andre can do this. Since you have not provided the options, we can tell exactly what Andre did....

Solve 2 1/2 divided by 5 1/3 = 8/x - id21251387541728, yeeeeeeeeeeet21

Ответ:

talexander131

02.02.2022

Mathematics

$2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } }$

We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

$\frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }$

Let's equal this too 8/x

$\frac { 15 }{ 32 } =\frac { 8 }{ x }$

Cross multiply.

$8\cdot 32=15\cdot x\\ \\ 256=15x$

Divide both sides by 15.

$\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x$