What is the upper bound and lower bound for 35.7

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

Answer:

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When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations? (5 points)

sasho [114]

The correct answer choice is:
______________________________________________
[C]: "Multiply each side by −8, subtract 35 from each side" .
_______________________________________________
Explanation:
_______________________________________________
Given: " $\frac{-1}{8}$ (x + 35) = -7 " ;

We can START by multiply each side of the equation by "-8" to completely get rid of the " $\frac{-1}{8}$ " fraction on the "left-hand-side" of the equation:

since: " $\frac{-1}{8}$ * -8 = 1 ; and: "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.

" $\frac{-1}{8}$ * -8 =

$\frac{-1}{8}$ * $\frac{-8}{1}$ =

$\frac{(-1*-8)}{(8* 1)}$ = $\frac{8}{8}$ = 1 .
____________________________________________________
So, given: " $\frac{-1}{8}$ (x + 35) = -7 " ; ;

We multiply each side of the equation by "-8" ;

→ -8 * { $\frac{-1}{8}$ (x + 35) } = -7 * {-8) " ;

→ 1 (x + 35) = 56 ;

→ x + 35 = 56 ;

Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;

→ x + 35 − 35 = 56 − 35 ;

→ x = 21 .
______________________________________________________
So, as explained, the correct answer is:
______________________________________________________
Answer choice: [C]:
______________________________________________________
"Multiply each side by −8, subtract 35 from each side" .
______________________________________________________

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