
-----------------
To solve this all it takes is two simple steps
Simplify

1/2x =22
------------------------
Multiply both sides by 2
2 ·

= 2 · 22
x = 44
Find the mode of the data set. 5, 3, 8, 4, 3, 2, 3, 4, 12, 12, 15, 4, 6, 3, 9
alexgriva [62]
Answer:
3
Step-by-step explanation:
3 occurs the most in this data set
Answer:
#5: Equivalent
#6: Not Equivalent
1. 3x+6
2. 4y-4
3. x²+6x
4. xy+4x
5. 3x²+3xy-3x
Step-by-step explanation:
for #6 the equivalent: 2x(x+3)= 2x²+6x
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!
__________________________________________________
The answer is 3.34 pounds also the estimate would be 3 pounds.