Question

i need help on the math question if it's right I'll give brain.​

Answer 1

Answer:  \frac{2}{5}  ; or, write in decimal form:  0.4 .

Step-by-step explanation:

Rewrite as:

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    $\frac{4x}{7} = \frac{8}{35}$ ;

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Now, "Cross-factor multiply":

that is:

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 → Given:   $\frac{a}{b} =\frac{c}{d}$  ;

    → ad = bc ;  (b≠0 ; d≠0) ;

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As such:

 4x * 35 = 7 * 8 ;

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We can divide one side of the equatiuon by "4" ; and one side by "7" :

  $\frac{4x*35}{4*7} = \frac{7*8}{4*7}$ ;

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We can simplify the "left-hand side":

 "4/4 = 1 " ; and "35/7 = 5 " ; & we are left with "x * 5" ; or "5x " .

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We can simplify the "right-hand side":

 "7/7 = 1 " ; and: "8/4 =2 " ; to get: "2/1" ; which equals "2".

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So; we have:  " 5x = 2 " ; Solve for "x" ;

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  Divide each side of the equation by "5" ; to isolate "x" on one ide of the equation; & to solve for: "x" ;

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  " 5x/5 = 2/5 " ;  We cancel out the "5x/5" to "1x"; which equals "x":

    → x = $\frac{2}{5}$  ;  or, write in decimal format:  "x = 0.4" ;

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\frac{2}{5}

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Hope this is helpful!  Best wishes in your academic pursuits—and within the "Brainly" community!

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Answer 2

Answer:

$x = 0.4$

Step-by-step explanation:

$\frac{7}{4} x \frac{4}{7} = \frac{7}{4} x \frac{8}{35}$

Reduce the number with the greatest common factor 7

$\frac{1}{4} x 4x= \frac{7}{4}x\frac{8}{35}$

$x=\frac{7}{4}x\frac{8}{35}$

$x=7x\frac{2}{35}$

$x=\frac{2}{5}$