Answer:
32%
Step-by-step explanation:
Let's say there are 17 girls and 8 boys. So there is 25 people in total.
8/25 = 32/100=32%
Answer:
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Step-by-step explanation:
Let
S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator
= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators
= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator
= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand
= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor
= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange
= 2(b^2+a^2)/((b+a)^2(b-a))
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Answer:
B) consistent, dependent
Step-by-step explanation:
The given system is
45x - 30y = -90
-12x + 8y = 24
Let us make y the subject in both equations to get:
Top equation
Bottom equation
We can see that both equations are identically the same.
There is going to be infinitely many solutions.
We say the system is consistent and dependent.
The correct choice is B
Your answer is in the image
Answer:
1056.25π square units
Step-by-step explanation:
A few formulas an definitions which will help us:
(1) 
, where c is the circumference of a circle and d is its diameter
(2) 
, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) 
.
We can rearrange equation (1) to put d in terms of π and c, giving us (4) 
, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:
We can now substitute c for our circumference, 65, to get our answer in terms of π:
