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
Step-by-step explanation:
volume of cylinder formula pi*r²*h
radius of 9cm is 4.5 as 9/2
so 4.5²*15 is 303.75cm
303.75*pi is 303.75picm³
3÷8+1÷8-(9÷8+5÷8)
=3÷8+1÷8-(14÷8)
=3÷8+1÷8-14÷8
=(3+1-14)÷8
=-10÷8
=-5÷4
=-1.25
2n - 7 = 5n -10
-5n -5n
-3n - 7= -10
+7 +7
-3n = -3
-3/-3 -3/-3
n= 1
Answer:
A. Right Triangle
D. Isosceles
Step-by-step explanation:
Well, since it has a square at the bottom of the triangle, it means it's a right triangle, because it has a 90 degree angle.
It is also an isosceles triangle, because two of the sides are of equal length.
Hope this helped!
:)
