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tresset_1 [31]
3 years ago
6

Find the sum of the first 9 terms in the following geometric series. 64+32+16+...

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

127.75

Step-by-step explanation:

In this geometric series, it is clear that every number is half of the previous number. From that, we can continue on the series as shown below...

64+32+16+8+4+2+1+0.5+0.25

The series above is 9 total terms. We can add those together to get our answer.

64+32+16+8+4+2+1+0.5+0.25 = 127.75

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Theo ate .7 of his candy bar. How many more tenths must he eat to finish the whole candy bar?
Julli [10]

Answer:

3 tenths

Step-by-step explanation:

One candy bar

= 1 candy bar

= 1.0, or 10 tenths (one tenth is 0.1)

If Theo eats 0.7 of a candy bar, we know that

1.0 - 0.7 = 0.3

0.3 = 3 *0.1 (one tenth)

Therefore, the answer is 3 tenths.

8 0
3 years ago
The bases of a trapezoid are 16.8 yards and 6.9 yards. What is the average of the two bases? 23.7 yd 4.95 yd 9.9 yd 11.85 yd
marusya05 [52]

Answer:

11.85 yards

Step-by-step explanation:

16.8 + 6.9 = 23.7

23.7 / 2 = 11.85

6 0
3 years ago
If one would dissolve 60g of sugar in 300g of water, what would the concentration of sugar in this syrup be?
Dafna1 [17]

That concentration would be


60 g

---------- = 60/300 = 1/5 (or, if you prefer, 1:5).

300 g

3 0
3 years ago
Read 2 more answers
24. A tank can be filled by a pipe in 30 minutes and emptied by another pipe in 50 minutes. How many minutes will it take to fil
OleMash [197]

Answer:

75 minutes

Step-by-step explanation:

The rate at which the tank is filled up, F, and emptied, E, are respectively:

F=\frac{V}{30}*60 = 2V/hour\\E=\frac{V}{50}*60 = 1.2V/hour

Since V is the full volume of the tank, the time required to fill the tank if both pipes are open is given by:

F-E=2V/hour-1.2V/hour = 0.8V/hour\\t= \frac{1}{0.8}=1.25\ hours = 75\ minutes

It will take 75 minutes to fill the tank if both pipes are open.

4 0
3 years ago
14 2/7 % simplest form
KATRIN_1 [288]
14 x 7 = 98 and then add the 2 = 100/7 

3 0
3 years ago
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