Answer:
y = 2x + 54
Step-by-step explanation:
slope of equation:
(y2-y1)/(x2-x1)
= (72-58)/(9-2)
= 14/7
= 2
y = 2x + b
58 = 2(2) + b
58 = 4 + b
b = 54
Answer:
Both child tickets and senior tickets cost $14.
Step-by-step explanation:
Since the school that DeShawn goes to is selling tickets to the annual dance competition, and on the first day of ticket sales, the school sold 10 senior citizen tickets and 8 child tickets for a total of $ 252, while the school took in $ 280 on the second day by selling 10 senior citizen tickets and 10 child tickets, to determine what is the price of each of one senior citizen ticket and one child ticket, the following calculation must be performed:
10 senior tickets + 8 child tickets = 252
10 senior tickets + 10 child tickets = 280
280 - 252 = 2 child tickets
28 = 2 child tickets
28/2 = 1 child ticket
14 = 1 child ticket
14 x 10 = 140
(280 - 140) / 10 = senior tickets
140/10 = 14 = senior tickets
Therefore, both child tickets and senior tickets cost $14.
Answer:
see explanation
Step-by-step explanation:
Sum the sides of both polygons and equate.
(20)
x + 4 + x + 2 + x + 5 = 2(x + 1) + 2(x + 3) ← distribute parenthesis
3x + 11 = 2x + 2 + 2x + 6
3x + 11 = 4x + 8 ( subtract 3x from both sides )
11 = x + 8 ( subtract 8 from both sides )
3 = x
(21)
5(12x) = x + 7 + 6x + 9 + x + 10
60x = 8x + 26 ( subtract 8x from both sides )
52x = 26 ( divide both sides by 52 )
x = 
= 
