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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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One angle of a triangle measures 120°. The other two angles are in a ratio of 5:7. What are the measures of those two angles
natta225 [31]
5x= one angle measure
7x= second angle measure
120°= third angle

Triangles equal 180°. Add the angles above to total 180°. Find x to find two two unknown angles.

5x + 7x + 120°= 180°
combine like values

12x + 120= 180
subtract 120 from both sides

12x= 60
divide both sides by 12

x= 5

ONE ANGLE MEASURE
5x= 5(5)= 25°

SECOND ANGLE MEASURE
7x= 7(5)= 35°

CHECK:
25° + 35° + 120°= 180°
180°= 180°


ANSWER: The measures of the two angles are 25° and 35°.

Hope this helps! :)
3 0
3 years ago
What is the mean of the data set? {21, 23, 25, 25, 26, 28, 28, 28, 31, 33} 26.8 27 27.8 28
Lerok [7]
In mathematics, mean average means to take the sum of all the numbers and divide the sum by the number of elements in the set.

Add up the numbers.

<span>21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268

Divide by the number of elements in the set. Which is 10.

268 / 10 = 26.8

So, the answer to this question is 26.8</span>
8 0
3 years ago
Read 2 more answers
Can someone please help me with # 2 #13 thanks show work how it's done, please
zavuch27 [327]

Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

--------------------------------------------------------------

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

6 0
3 years ago
What’s the answer to this question
artcher [175]
The answer is for question 12, x = -9.3333333
6 0
3 years ago
you have $895 in your checking account and write checks for $669, plus take $100 in cash out of your account. How much do you ha
Scilla [17]
To answer this we just need to set up a equation:- 

895 - 669 - 100 = 126.

SO, after these transactions you will have $126 left. 

Hope I helped ya!! 
7 0
3 years ago
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