1111.111 in expanded form is 1000 + 100 + 10 + 1 + 0.1 + 0.01 + 0.001
Answer: The required condensed expression is 
Step-by-step explanation: We are given to fully condense the following logarithmic expression assuming that all variables represent positive numbers :

We will be using the following properties of logarithms :

Therefore, from expression (i), we get

Thus, the required condensed expression is 
$16.40 because she bought 2 candies so you will add 1.80 +1.80 or could of times 1.80x2 then subtract $20 for what you get adding or multiplying then that's how you get what she has left.
Well 3x(pumpkin) + 1x ( beans ) =4x so 4x=76
divide 76 by four to get x=19
so 19 cans of beans
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = 
![= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-5-2%7D%7B3-%5B-6%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-5-2%7D%7B3%2B6%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-7%7D%7B9%7D%5C%5C)
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])

2) (3 , -4) ; m= 3
)
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = ![\frac{0 - 3}{2-[-1]}](https://tex.z-dn.net/?f=%5Cfrac%7B0%20-%203%7D%7B2-%5B-1%5D%7D)

m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7