Answer:
Step-by-step explanation:
System of Equations
Let:
x = number of people that can be seated at a table
y = number of people that can be seated at a booth
The first plan consists of 23 tables and 10 booths and then 228 people could be seated, thus:
23x + 10y = 228
The second plan consists of 12 tables and 12 booths and that way 180 people could be seated, thus:
12x + 12y = 180
The method of elimination requires equating the coefficients of one variable and eliminating it by adding the equations.
Multiply the first equation by 12:
276x + 120y = 2736
Multiply the second equation by -23:
-276x - 276y = -4140
Add the last two equations (the variable x cancels out):
120y - 276y = 2736 - 4140
Simplifying:
-156y = -1404
Dividing by -156:
y = -1404/(-156)
y = 9
Substitute this value in the first equation:
23x + 10(9) = 228
Operate:
23x + 90 = 228
Subtract 90:
23x = 138
Divide by 23:
x = 138/23
x = 6
Every table can seat 6 people, and every booth can seat 9 people
Let x be the number of texts (amount of texts) Carly does in a month.
Let y be the "total" amount Carly will have to pay in a month.
Then, as per the TURKEY plan, Carly's monthly total cost will be represented by the equation as shown: 
As we can clearly see in the above equation even if Carly does not text a single message (when x=0), even then they will have to pay $20 for that month.
For the GOBBLE plan, the equation will be:
.
In this plan as there is no fixed charge, Carly wont have to pay anything extra if they dont make a call.
Answer
Because the function says 1.045 means 1+0.045
0.045=4.5%
So your answer is
4.50%
Answer:
Step-by-step explanation:
Since we know that the two lines are parallel because of alternate interior angles (5x-20)=3x
then solve for x
5x-20=3x
-20=-2x
x=10°