Write an equation to represent each relationship. Then solve the equation.

Mathematics

1 answer:

Bumek [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Ten less than 3 times a number can be represented as 3n - 10 the number plus 4 is represented as n + 4 the same as means equal so 3n - 10 = n + 4 so combine terms by subtracting an "n" from both sides and adding 10 to both sides so the left side becomes 2n and it equals the right side which becomes 14 so 2n = 14 so n = 7 CHECK YOUR ANSWER BY PLUGGING 7 IN FOR THE NUMBER IN THE ORIGINAL QUESTION 10 LESS THAN 3 x 7 GIVES YOU 11 AND 7 + 4 ALSO GETS YOU 11 SO YOU KNOW THAT 7 IS THE CORRECT ANSWER :) BYEEEE!!!! lol

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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 =

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____________________________________________________
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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