Answer: The number is: "2 " .
__________________________________________
Explanation:
__________________________________________
Write the expression; which is an equation, as follows:
__________________________________________
" 4x <span>− 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .
___________________________________________
Note:
If the "number" = "x" ; the "opposite of the number" = " -x " ;
</span>___________________________________________
Rewrite as: " 4x <span>− 12 = -2x " ;
</span>_____________________________________________
→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:
4x − 12 + 12 + 2x = -2x + 12 + 2x ;
to get: 6x = 12 ;
____________________________________________________
Now, divide each side of the equation by "6" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
____________________________________________________
6x / 6 = 12 / 6 ;
to get: x = 2 .
____________________________________________________
Answer: The number is: "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
→ " 4x − 12 = 2(-x) " ;
Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;
→ " 4(2) − 12 = ? 2(-2) ??
→ 8 − 12 = ? -4 ? ;
→ -4 = ? -4 ?? Yes!
__________________________________________________
1600 children and 1400 adults attended
<h3>How to determine the number of adults?</h3>
Let the children be x and adult be y.
So, we have the following equations:
x + y = 3000
1.5x + 5y = 9400
Make x the subject in x + y = 3000
x = 3000 - y
Substitute x = 3000 - y in 1.5x + 5y = 9400
1.5(3000 - y) + 5y = 9400
Expand
4500 - 1.5y + 5y = 9400
Evaluate the like terms
3.5y = 4900
Divide both sides by 3.5
y = 1400
Substitute y = 1400 in x = 3000 - y
x = 3000 - 1400
Evaluate
x = 1600
Hence, 1600 children and 1400 adults attended
Read more about system of equations at:
brainly.com/question/14323743
#SPJ1
Answer:
3x + 30
Step-by-step explanation:

3x + 30 would be an equivalent expression.
Hope this helps.
The value of
is 
Explanation:
The function
is given by

The function
is given by

To determine the value of
, let us first substitute the value of
.
Thus, we get,

Now, substituting for
in the function
, we get,

Simplifying, the expression, we get,

Multiplying the term within the bracket, we have,

Thus, the value of
is 
Hence, the value of
represents the total amount of money that Barrett earns for working x hours.
x = 26
Because 26-2=24 which would be right because it needs to equal the same size as the other side that is across from it.
y = 11
Because it’s the same size as the bottom side, which is also the side across from it.
This is true because a parallelogram has 2 sets of parallel side!!!
I hope this helps! :)