Answer:
C
Step-by-step explanation:
because 180 - 58
remember the quadrilateral is between the circumference
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
Instead of adding more fraction strips you would take some away to get a smaller number.
Answer: 143 hamburgers and 429 cheese burgers
Explanation:
Call h and c the number of both items.
(h-hamburger and c-cheeseburger)
h + c = 572
c = 3h
Sub the second into the first
h + 3h = 572
4h = 572
Divide both sides by 4
h = 143 hamburgers
Use this back into the second equation
c = 3 • 143 = 429 cheeseburgers