Expanding brackets is just your book's way of saying to use the distributive property and then simplify to solve each equation.
I'll show the work for a and b and then the answers for the rest.
a.
4(g + 5) - 4g
Multiply each part inside the parentheses by 4
4g + 4(5) - 4g
4g + 20 - 4g
Now combine like terms to simplify the equation. In this case, the 4g and - 4g cancel each other out.
4g - 4g + 20
0 + 20
20
20 is your answer.
b.
6(p + 4) + 2(p - 12)
Multiply each part of the first set of parentheses by 6 and the second set by 2
6p + 6(4) + 2p + 2(- 12)
6p + 24 + 2p - 24
Combine like terms
6p + 2p + 24 - 24
8p + 0
8p
8p is your answer
c. 6z
d. 3a + 8
e. 8a + 16 which simplifies 8(a + 2)
f. 32w + 16 which simplifies 16(2w + 1)
Answer:
0.01
Step-by-step explanation:
<span> The ratio compares two quantities (in this case blue and white parts).
A unit rate (or unit ratio) describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. In our case the first type of quantity is blue parts and the second is white parts, so we should find how many blue parts correspond to one white part.
The ratio is: 5/4
We will obtain the unit ratio if we divide each number with 4 in order to get 1 - as a second quantity.
So, (5/4)/(4/4)= (5/4)/1
The unit ratio is: </span>
<span>(5/4)/1.</span>
Answer: 1/150
Step-by-step explanation:
4/5/8*1/3/5=
4/40*1/15=
4/600=1/150