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Aleksandr [31]
4 years ago
5

Find S12 for the series 2 + 5 + 8 +...

Mathematics
2 answers:
Svetllana [295]4 years ago
7 0
Hi, I'm pretty sure by S12 you mean the sum of all the 12 terms in the series 2 + 5 + 8 + .....

Then, first you find the pattern:
5 -2 = 3
8 -5 = 3
This is an arithmetic series with a common difference of 3. Next, we find the last term, or the 12th term.

A12 = A1 + (n - 1)d
A12 = 2 + (12 - 1)3
A12 = 35

Since, we know the first and last terms of the series, we could find the sum by this formula:

S = (n/2)*(A1 + A12)
S = (12/2) * (2 + 35)
S = 222

The answer is 222.
olga55 [171]4 years ago
4 0
2+5+8+11+14+17+20+23+26+29+32+35
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The ratio of pencil to rulers is 6:10. the are 21 pencils. how many rulers are there
Reika [66]

There would be 35 rulers.

In order to solve this, use cross multiplication.

6/10 = 21/x -----> cross multiply

10*21 = 6*x

210 = 6x

35 = x

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Show how to make one addend the next tens number. Complete the new addition sentence. 26+27=?
Usimov [2.4K]
26 plus 27 is 53
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I’ll love u forever if u help me with this ASAP PLZZZ I don’t get it plzzz
laiz [17]

Answer:

v= 13

w= -32

Step-by-step explanation:

2v+6w=-36

5v+2w=1

2w= 1-5v

2v+ (3)(1-5v)= -36

2v+3-15v= -36

3-13v =-36

3--36= 13v

39= 13v

13 = V

5×13+2w=1

65+2w=1

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3 0
3 years ago
Which value is the best estimate for<br> √<br> 94
Vikentia [17]

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9.7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes an
svet-max [94.6K]

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct

5 0
4 years ago
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