Answer:
a = 6
Step-by-step explanation:
Hello!
Solve:
- 4(3a - 4) = 56
- 3a - 4 = 14 (factoring out 4)
- 3a = 18 (adding 4 to both sides)
- a = 6 (dividing by 3)
Another way:
- 4(3a - 4) = 56
- 12a - 16 = 56 (distributive property)
- 12a = 72 (moving like terms)
- a = 6 (dividing by 12)
Distributive Property of Multiplication:
The process of distributing the outside factor to the terms in the parenthesis.
Example:

BC/DC = 8/3.2 = 2.5
AB/BD = 12.5/5 = 2.5
AC/BC = 20/8 = 2.5
Since the results are all 2.5, this means that the triangles are similar triangles.
The justification you would use is the SSS similarity theorem.
SSS = side side side
Look at the table for the people that used Lithium.
There are 18 relapses, 6 No relapses with a total of 24 people.
The relative frequency for relapse, would be dividing the number of relapses by the total number of people.
This would be D. 18 / 24 = 75%
Answer:
5a) 0.2823=2823/10000
5b) 0.5474=2737/5000
6a)0.3484=871/2500
6b) 0.5=1/2
7a) 0.11=11/100
7b) 0.1224=153/1250
Step-by-step explanation:
Answer:
The value of the painting in 6 years is $1904.25
Step-by-step explanation:
y = a(1 + r)
t
= 1200(1.08)t
Write the formula.
Substitute 1200 for a and 0.08 for r.
Simplify.
= 1200(1 + 0.08)
t
Step 2 Find the value in 6 years.
y = 1200(1.08)t
= 1200(1.08)6
≈ 1,904.25
Substitute 6 for t.
Use a calculator and round to the
nearest hundred