Answer:
1. 6n - 15
2. x + 10
3. -4d + 15
4. true, associative property
5. distributive, commutative
Step-by-step explanation:
1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20
2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms
3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms
4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up
5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer
You would divide 2 by 2 and 8 by 2
So your answer would be 1/4
Attached the solution and work. I think this is what you asked for.
Answer:
B
Step-by-step explanation:
We simply find the area and then multiply that by $1.5 to get our answer.
We need to break down the composite figure and add up each individual area to get total area.
To the right, we will have a trapezoid with bases:
base 1 (top) = 31 - 9 = 22
base 2 (bottom) = 12 (given)
and
height = 9 + 3 = 12
Putting into trapezoid area formula we have:

Also, the left side, we have a skinny rectangle with height 3 and length 9. Thus, the area is:
3 * 9 = 27
Total area is 204 + 27 = 231
Each square feet is $1.50, hence total cost = 231 * 1.5 = $346.50
B is the right answer.