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Yakvenalex [24]
3 years ago
14

Find the sum of the geometric sequence. 1, 1/2, 1/4, 1/8, 1/16

Mathematics
2 answers:
frutty [35]3 years ago
8 0
1 15/16, after changing everything to a common demoniator you can just add them all together. 16 is the only demoniator that could be used so therefore the numbers change to 16/16, 8/16, 4/16, 2/16, 1/16
dezoksy [38]3 years ago
7 0
I would convert them all to the denominator 16, due to the smallest fraction and all of them can be converted to it.

1 = 16/16
1/2 = 8/16
1/4 = 4/16
1/8 = 2/16
1/16 = 1/16

1+ 2 + 4 + 8 + 16 = 31

31/16 = 1 15/16 

Hope this helps!
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The number of patients treated at Dr. Frank's dentist office each day was recorded for nine days: 18,
Sveta_85 [38]

Answer: 12

Step-by-step explanation: The mean is basically the average. So, start by lining up the numbers from smallest to largest. 1, 3, 4, 8, 14, 18, 19, 19, 22. Then, add them all together. You get 108. Then, divide 108 by the number or numbers in the data set, which in this case is 9. So 108 divided by 9 = 12. Your answer is A. --> 12

Hope that helped!!

6 0
3 years ago
Brooklyn began her school day with 25 pieces of gum and gave x amount away. Amy
malfutka [58]

Answer:15

Step-by-step explanation:

3 0
2 years ago
You have 10 liters of juice that is 40% juice and 60% water. You want the mixture to be 70% juice and 30% water. How many liters
damaskus [11]

Answer:

14 liters

Step-by-step explanation:

10 liters : 4 liters of juice and 6 liters of water

4/10 of juice and 6/10 of water

make it to 70% of juice and 30% of water

add 14 liters of juice

14/20=70% of juice

6/20=30% of water

4 0
3 years ago
I need help please and thank you
balandron [24]

Answer:

Step-by-step explanation:

the correct answer is 3

3 0
3 years ago
What is the distance across the lake?
vredina [299]

Given:

Height of right triangle = 9 mi

Hypotenuse = 17.5 mi

Base of right triangle = Distance across lake

To find:

The distance across the lake.

Solution:

Using Pythagoras theorem:

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

\Rightarrow 9^2+base^2=(17.5)^2

\Rightarrow 81+base^2=306.25

Subtract 81 from both sides.

\Rightarrow 81+base^2-81=306.25-81

\Rightarrow base^2=225.25

Taking square root on both sides.

⇒ base = 15

The distance across the lake 15 mi.

5 0
3 years ago
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