<span>There are 4 long rows and 5 short rows in the theater. x represents the number of chairs in each long row and y represents the number of chairs in each short row.
So, total number of chairs in 4 long rows= 4x
Total number of chairs in 5 short rows = 5y
Total number of chairs in the theater on a normal day = 4x + 5y
When 2 chairs are added to each long row, the number of chairs will change to (x+2).
So, total number of chairs in 4 long rows will be = 4(x+2)
When 3 chairs are added to each short row, the number of chairs will change to (y+3)
So, total number of chairs in 5 short rows will be = 5(y+3)
Thus, total number of chairs in the theater in rush day = 4(x+2) + 5(y+3)
= 4x + 8 + 5y + 15
= 4x + 5y + 23
Thus we can say the number of chairs increase by 23 as compared to a normal day.
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Answer:
x=7
y=9
Step-by-step explanation:
x+7y=70 ...(1)
3x-6y=-33
divide by 3
x-2y=-11 ...(2)
(1)-(2) gives
x+7y-x+2y=70+11
9y=81
y=9
x-2*9=-11
or x=-11+18=7
Answer:
197in^2
Step-by-step explanation:
5x5=25(top face)
5x5=25(left face)
9x5=45(bottom face)
6.4x5=26(right face)
Front and behind face: trapezoid area (trapezoid formula h x (a+b)/2)
(5+9)/2 x 5=7x5=35
35+35+25+25+45+25=197in^2
Answer:
B. Events H and C are dependent and P(H|C) < P(C|H)
Step-by-step explanation:
The ratios of groups with children to hiking groups on the trail are different for the two trails.
P(H|C) = 15/45 = 1/3
P(C|H) = 15/40 = 3/8
1/3 < 3/8 so the comparison of choice B is appropriate.
