Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8
Solution:

Let us distribute 2 inside the parenthesis.
That is, we use distributive property:
a(b+c)=ab+ac

So, 
Answer:Option (b)

Applying distributive property, a(b+c)=ab+ac



So, Option (B) is correct.
Answer:
$1,304.70
Step-by-step explanation:
If interest 6% annually, monthly is 0.5%.
The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt
In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment
After 8 months the debt would be 1253.67 plus compounded interest for 8 months
Then the size of the final payment would be $1,304.70
Answer:
89
Step-by-step explanation:
So the line segment CD is 12.7 and half that is 6.35. I wanted this 6.35 so I can look at the right triangle there and find the angle there near the center. This will only be half the answer. So I will need to double that to find the measure of arc CD.
Anyways looking at angle near center in the right triangle we have the opposite measurement, 6.35, given and the hypotenuse measurement, 9.06, given. So we will use sine.
sin(u)=6.35/9.06
u=arcsin(6.35/9.06)
u=44.5 degrees
u represented the angle inside that right triangle near the center.
So to get angle COD we have to double that which is 89 degrees.
So the arc measure of CD is 89.
Answer:
16 1/12
Step-by-step explanation:
The LCD of 6 1/3 + 5 1/2 + 4 1/4 is 12; 12 is evenly divisible by 3, 2 and 4.
We can rewrite this expression as:
6 + 5 + 4 + 1/3 + 1/2 + 1/4, or
15 +4/12 + 6/12 + 3/12, or
15 + 13/12, or
16 1/12