Convert the fraction 3/4 to decimal form to get 3/4 = 0.75
To factor out 3/4, we divide each term by 3/4 or 0.75
It might be easier to divide by 0.75 to avoid two division symbols
So (3/4)z+6 = 0.75z+6
Divide each term (0.75z and 6) by 0.75 which is what we want to factor out
0.75z/0.75 = z
6/0.75 = 8
Therefore,
0.75z+6 = 0.75*(z+8)
Note how we can distribute the 0.75 back through to each term inside (z and 8) and we'll end up with 0.75z+6 again.
The answer in fraction form is

which is 3/4 outside the parenthesis multiplied by the group (z+8)
Answer:
(5a−3)^2
Step-by-step explanation:
25a^2 - 30a + 9
Factor the expression by grouping. First, the expression needs to be rewritten as 25a^2+pa+qa+9. To find p and q, set up a system to be solved.
p+q=−30
pq=25×9=225
Since pq is positive, p and q have the same sign. Since p+q is negative, p and q are both negative. List all such integer pairs that give product 225.
−1,−225
−3,−75
−5,−45
−9,−25
−15,−15
Calculate the sum for each pair.
−1−225=−226
−3−75=−78
−5−45=−50
−9−25=−34
−15−15=−30
The solution is the pair that gives sum −30.
p=−15
q=−15
Rewrite 25a^2 - 30a + 9 as (25a^2−15a)+(−15a+9).
(25a^2−15a)+(−15a+9)
Factor out 5a in the first and −3 in the second group.
5a(5a−3)−3(5a−3)
Factor out common term 5a−3 by using distributive property.
(5a−3)(5a−3)
Rewrite as a binomial square.
(5a−3)^2
Answer:
x=-1
Step-by-step explanation:
-5x=5
-x=1
x=-1
or solve this way
-5x=5
5x=-5
x=-1
The change in value over 5 years is expected to be
$55,000 - 4,300 = 50,700
Since this change in value is spread over 5 years, the amount of depreciation recorded for each full year will be
$50,700/5 = $10,140
The period from July 1 to December 31 is 6 months or 1/2 year, so the depreciation recorded the first year will be 1/2 the above amount:
(1/2)*$10,140 = $5,070
5w-3 > -29
Add 3 at both sides
5w > -26
Divide 5 at both sides
w > -26/5