Answer:
50.24 yd^2
Step-by-step explanation:
The area of a circle can be found using:

First, we need to find the radius. We have the diameter. The diameter is twice the radius, or
d=2r
We know that the diameter is 8, so we can substitute 8 in for d
8=2r
Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.
8/2=2r/2
4=r
Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.

a=3.14*4^2
Solve the exponent
a=3.14*16
Multiply
a=50.24
The area is 50.24 yards^2
-3x+24y-36 . You notice that the GCF =3 (that means the number that divides all factors)
3( - x + 8y -12) or you can put the "-" sign outside the parenthesis, but mind you , you will have to change all signs in the parenthesis:
-3( x - 8y +12)
Answer:
The concentration of the drug is 5ug/uL
Step-by-step explanation:
The first step of the problem is the conversion of the quantities of the drug in mg and mL to ug and uL.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
First step: Conversion of 125mg to ug
Each mg has 1,000ug. So:
1mg - 1,000ug
125mg - xug
x = 1,000*125
x = 125,000 ug
Second step: Conversion of 25 mL to uL
Each mL has 1,000uL. So:
1mL - 1,000uL
25mL - x uL
x = 25*1,000
x = 25,000uL
Concentration:

The concentration of the drug is 5ug/uL
Answer:
15 lb
Step-by-step explanation:
let the current weight of the puppy be X, the initial weight of the puppy is 4lb or
, (6 lb less 2/3 X) .
#We equate the current weight to the initial weight to determine X:

Hence, the current weight of the puppy is 15 lb
Answer:
hopes this helps
Step-by-step explanation:
this is a tricky one here
40x X 22= $880
second week
40x X 29=1,160