Respuesta :

let's firstly, do a couple of things.

let's change the decimal 0.75 to a fraction, and we do that by using as many zeros at the bottom as there are decimals and losing the dot atop, we'll do so.

and let's then do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, the LCD will be 8, and then we'll combine the like-terms, but anyway, let's proceed.


[tex]\bf 0.\underline{75}\implies \cfrac{075}{1\underline{00}}\implies \stackrel{simplified}{\cfrac{3}{4}} \\\\[-0.35em] ~\dotfill\\\\ 0.75s-\cfrac{5}{8}s=44\implies \cfrac{3}{4}s-\cfrac{5}{8}s=44\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{8}}{8\left( \cfrac{3}{4}s-\cfrac{5}{8}s \right)=8(44)} \\\\\\ 6s-5s=352\implies s=352[/tex]

Lanuel

The value of s in the equation [tex]0.75s - \frac{5}{8s} = 44[/tex] is 352.

Given the following data:

  • [tex]0.75s - \frac{5}{8s} = 44[/tex]

To find how a way of combining like terms:

In order to easily combine the like terms, we would express the decimal number as a fraction.

[tex]0.75s = \frac{75}{100s} = \frac{3}{4s}[/tex]

Substituting the fraction into the given equation, we have:

[tex]\frac{3}{4s} - \frac{5}{8s} = 44[/tex]

Lowest common multiple (LCM) = 8

[tex]8 \times (\frac{3}{4s} - \frac{5}{8s}) = 44 \times 8\\\\6s - 5s = 352[/tex]

s = 352

Find more information: https://brainly.com/question/596290

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