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

7 0

3 years ago

Read 2 more answers

When I pour my coffee it is 185 degrees Fahrenheit. As it sits on my desk it loses temperature at a rate of 3 degrees per minute

astraxan [27]

Answer:

I believe it's 185-3x I hope I'm right, sorry if I'm not

Step-by-step explanation:

8 0

3 years ago

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess

Sonja [21]

Answer:

Step-by-step explanation:

The number of grains of wheat on the n(th) square is 2^(n-1), or 2 to

the power of n-1. This is because the first square has 2^0 = 1 grain,

the second has 2^1 = 2, and the n(th) square has twice as many as the

previous. Thus the total number of grains of wheat is

S = 1 + 2 + 4 + 8 + ... + 2^63.

Since this is a geometric sequence with common ratio 2, the sum is

2^64 - 1

S = -------- = 2^64 - 1 = 18446744073709551615.

2 - 1

6 0

3 years ago

Find the midpoint of the segment with the given endpoints. (-10,- 6) and (-3,7)

Marina CMI [18]

Step-by-step explanation:

in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.

now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.

when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).

so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.

xm, ym are the coordinates of the midpoint.

xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5

ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5

so, the midpoint is (-6.5, 0.5)

8 0

2 years ago

Massimo spent $90. riding the bus. Each bus ride cost $2.50. Write and solve an equation to determine how many times Massimo rod

Varvara68 [4.7K]

Answer:

$90 ÷ $2.50 = 36

Massimo rode the bus 36 times.

Please mark brainliest. Have a great day!

5 0

3 years ago