Answer:
250 cookies
Step-by-step explanation:
The employee burns 55 chocolate chip cookies
if this represented 22% of the days production
Let x = the total production of cookies for the day
how many cookies did you plan on producing that day?
22% of x = 55
22 / 100 * x = 55
0.22x = 55
Divide both sides by 0.22
x = 55 / 0.22
= 250
x = 250 cookies
Therefore, the total production of cookies for the day is 250
First, find out his wage
15 hours×$9= $135
Next find his commission
$7000×3.5%
=7000×0.035
=$245
Finally, add these together
$135+$245
=$380
He will make $380 selling electronics per week
Answer:
5x -2y = -2
Step-by-step explanation:
-2x+y=0
-7x+3y=2
Subtract the second equation from the first
-2x+y=0
7x-3y=-2
------------------
5x -2y = -2
Answer: The m ∡KLM is: 130° .
___________________________________________________________
Explanation:
__________________________________________________________
(3x − 4) = (4x − 27) ; (Since these are "bisected, congruent angles", they are equal).
⇒ 3x − 4 = 4x − 27 ;
⇒ Subtract "4x" from EACH SIDE of the equation; and add "4" to EACH SIDE of the equation;
⇒ 3x − 4 − 4x + 4 = 4x − 27 − 4x + 4 ;
to get:
⇒ - 1x = -23 ;
⇒ Divide EACH SIDE of the equation by "-1" ; to isolate "x" on one side of the equation; and to solve for "x" ;
⇒ -1x / -1 = -23 / -1 ; to get:
⇒ x = 23;
___________________________________
To find m ∡KLM :
m ∡ KLM = (3x − 4) + (4x − 27) ;
{Note: Remember: (3x − 4) = (4x − 27) } ;
So, plug in our solved value for "x" ; which is: "x = 23" into one of the expressions for one of the congruent angles.
Let us start with: "(3x − 4)" .
(3x − 4) = 3x − 4 = 3(23) − 4 = 69 − 4 = 65 .
By plugging in our solve value for "x" ; which is: "x = 23" ; into the expression for the other congruent angle, we should get: "65" ;
Let us try:
(4x − 27) = 4x − 27 = 4(23) − 27 = 92 − 27 = 65. Yes!
________________________________________________
So to find m ∡KLM:
(3x − 4) + (4x − 27) = 65 + 65 = 130° .
_______________________________________________
Alternate method:
_______________________________________________
At the point which we have:
_______________________________________________
To find m ∡KLM :
m ∡ KLM = (3x − 4) + (4x − 27) ; and at which we have our solved value for "x" ; which is: "x = 23" ;
_______________________________________________
We can simply plug in our known value for "x" ; which is: "23" ; into the following:
m ∡ KLM = (3x − 4) + (4x − 27) = [(3*23) − 4] + [(4*23) − 27] ;
= (69 − 4) + (92 − 7) = 65 + 65 = 130° .
_____________________________________________________________
{Note: Using this method, we determine that each angle is equal; that is, "65° ".}.
______________________________________________________________
