We have the following relationship set up by the bisected angle LMJ
JM /LM = JK/ KL
60 /75 = JK / KL
4/5 = JK / KL
JK = (4) /(4 + 5) LJ = (4/9) (45) = 20
The factor of 2 stretches the graph vertically by a factor of 2
The "3" shifts this upward by 3 units
18 ft = 6 yds
4 ft = (4//3) yd
3 in = (1/12) yd
So
6 ( 4/3) (1/12) = 24 / 36 = 2/3 cu yd
(2/3) (33) = $22
-4x - 15 y = - 17
4x + 5y = -13 add these
A) -10y = -30
B) divide both sides by -10
y = -30 / -10 = 3
C) 4x + 5(3) = -13
D) 4x + 5(3) = -13
4x + 15 = -13
4x = -13 -15
4x = -28
x = -28 / 4 = -7
E) ( -7, 3)
x^2 + 10x + 25 = 8 + 17
x^2 + 10x + 25 = 25 subtract 25 from both sides
x^2 + 10x = 0
x ( x + 10) = 0
x = 0 is the smallest x that makes this true
2.5 is correct
.030303..... = (3 - 0) / (99) = 3/99 = 1/33
.003003..... = (3 - 0) / ( 999) = 3/999 = 1/333
(1/33) / ( 1/333) =
333 / 33 = 111 / 11 = 10 + 1/11
15 * 12 * $ 8/ sq ft = $1440
A full bowl must contain 11.5 + 1.25 + 2 = 14.75 cups
14.75 - 12 = n
2.75 cups = n
Let the original fraction be x / y
After the decreases we have
.15x / .75 y = ( 1/5) (x/y) = .20 (x / y)
So ..... .20(x/y) = (1 -.80) (x/y) = 80% decrease
