3 3
7
Which expression is equivalent to
7
-2
:
.?
4.
A
.
1 7
2 -2
27
1 2
2 7
B
1
-2
-1
D
2
-2

 The correct answer is:

______________

            →   Choice: [C]:  "   " .

______________

Step-by-step explanation:

______________

Note that this problem contains multiplication and division.

 WIth multiplication and division;

the order of operations we perform is from "left side to right side" in the expression;  in the order in which the operation occurs:

As such:

______________

The given problem:

______________

"   ÷ " ;

Is treated as:

______________

" ÷ " ;

______________

So, we start with:

______________

" " ;

______________

→ ;  

______________

Simplify:

______________

"   " ;

______________

          →  The "(-1)'s " cancel out:

              {since: "(-1)/(-1) = 1 "} ;

→ And we have:  " " ;

______________

Now, continue with the problem, and divide this value by: " " ;

______________

 " ÷ " ;

______________

Note that dividing by a number is the same as multiplying by the reciprocal of that said number:

______________

The reciprocal of " " ; is:  " : l

As such:

" ÷ " ;

______________

     =   "    "

______________

Now, let us simplify:

 Note:  The "8" and the "-8" ;

    The "8" can be changed to "1" ; and the "-8" can be changed to "-1" ;

since: "-8 ÷ 8 = 1 " ;  and since:  "8 ÷ 8 = 1 " ;

Note:  The "3" and the "21" ;

    The "3" can be changed to "1";  and the "21" can be changed to "7" ;

since: "21 ÷ 3 = 7 " ; and since:  "3 ÷ 3 = 1 " ;

______________

And we can we rewrite the expression:

______________

 → " " ;

which equals:  " 7 * -1 " ;  which equals " - 7 ".

______________

Now, the problem has 4 (four) answer choices.  Which expression [i.e. which answer choice] is equal to:  " -7 " ??

______________

Consider Choice [A]: " " ; which equals: " " ;

" ."

Rule out: "Choice [A]."

______________

Consider Choice: [B]: " " ; which equals: " ; " ."

Rule out: "Choice: [B]."

______________

Consider Choice: [C]: " " ; which equals: " ;  " ".  

 Choice [C]: seems correct!

______________

Consider Choice: [D]: " " ; which equals:

                           " ;

                                              → cancel out the "(-1)'s" ;

                                              → {since: "(-1) / (-1) = 1 " ;  

                                         to get:

                                              → " " ; which equals:

                                              → " " ;  " . "

 Rule out: "Choice: [D]."

______________

The correct answer is:

______________

Choice: [C]:  "   " .

______________

Hope this is helpful to you!

Wishing you the best!

______________

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base