Jared uses 24 tiles to cover the top of his desk.of the 24 tiles,3/4 are blue. How many of the tiles are blue
1 answer:
You might be interested in
Answer:
hrs/house
Step-by-step explanation:
Rate is the amount of work done per unit of time;
Let Cara's rate = C
Let Jena's rate = J
C + J = 4 ------ i
Now;
Working alone:
Jena takes twice as long as Cara
J = 2C ---- i
How long does it take Cara to clean a house alone
C + J = 4
J = 2C
C + 2C = 4
3C = 4
C = hrs/house
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18