∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]
Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.
Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
Answer:
B. 152 cm²
Step-by-step explanation:
To find the surface area using a net, do this:
Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each (
) and then add the values together:
The first rectangle on the left is the same as the one on the right.
Two measures are 40 cm².
The middle rectangle is:
48 cm²
The formula for the area of a triangle is 
:
The area of the two triangles is 12 cm².
Now add the values:
The area of the figure is 152 cm².
:Done
She has 1/6 of her money left, which is $21.
2/3=4/6, so 4/6 + 1/6=5/6, which means she has 1/6 left. Divide $126 by 6 and you get $21.
Answer:
Miranda has been to the store 9 times.
Savannah has gone to the store 7 times.
Total each spent = $ 63 (approx.)
I would half 198, get
99 and add a 0, this is how you multiply by 5 in your head
198*5 = 990
990 + 200 = 1190 - 2
= 1188
Alternatively we can round 198 to 200: then multiply by 6
200*6 = 1200
Then We subtract the 6 "2's" that we added
1200 - 12 = 1188
The expression for this is:
(6*200) - (6 * 2)
