Answer:
r= RE/I
Step-by-step explanation:
E=I(R+r)
divide both sides by I
E/I = R+r
subtract both sides by R
R(E/I) = r
r = RE/I
I think 484 is the answer because, 0=t(-16t+176) x=0 and x=11.To get the add up the x intercepts and divide by 2 you should get that x=5.5.
Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:

And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed
Answer:
Point T = (4,9)
Step-by-step explanation:
Given:
S (−5,0)
M (10, 15)
m1:m2 = 3:2
Find:
Point T
Computation:
X = [m1x2 + m2x1] / [m1+m2]
Y = [m1y2 + m2y1] / [m1+m2]
X = [(3)(10) + (2)(-5)] / [3+2]
Y = [(3)(15) + (2)(0)] / [3+2]
X = 20 / 5 = 4
Y = 45 / 5 = 9
Point T = (4,9)
Answer: Fernando has 29 books
Step-by-step explanation:
The prime numbers between 21 and 30 are 23 and 29.
hence, the possible number of books Fernando has 23 or 29.
After taking 4 books away, the total number of books left can be :-
23-4=19
Since, 19 is not a square number so he cannot be able to place the same number of books on each shelf of his bookcase.
So Fernado doesn't have 23 books.
29-4=25
Also, 
Here, 25 is a square number so he will be able to place the same number of books on each shelf of his bookcase.
Therefore, Fernando has 29 books.