Answer:LJ = 18 + 28 = 46
Step-by-step explanation:
Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
Answer:
t = 6.3
Step-by-step explanation:
t = 13
- 7.45
t =
-7.45
t= 13.75 - 7.45
t = 6.3
A city pool sells full-day and half-day passes during the summer. The goal is to make $1000 each day from pool pass sales. The graph shows the number of full-day and half-day passes they need to sell to make $1000.
the maximum number of half-day passes the pool can sell and make exactly $1000
From the graph the half day passes is on x axis.
WE can see that the maximum on x is 200
Half day passes starts at 0 and ends at 200
200 is the maximum number of half-day passes the pool can sell and make exactly $1000
44 chicken and 28 rabbits
Given:
chicken head + rabbit head = 72 heads
chicken feet + rabbit feet = 200 feet
c + r = 72
2c + 4r = 200
find the value of c using the 1st equation:
c = 72 - r
substitute c by its value in the 2nd equation:
2c + 4r = 200
2(72-r) + 4r = 200
144 - 2r + 4r = 200
2r = 200 - 144
2r = 56
r = 56/2
r = 28
c = 72 - r
c = 72 - 28
c = 44
c = 44 ; r = 28
To check:
2c + 4r = 200
2(44) + 4(28) = 200
88 + 112 = 200
200 = 200