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AleksAgata [21]
3 years ago
12

Question 1

Mathematics
1 answer:
mixas84 [53]3 years ago
7 0

Answer:

  a. 2

  b. 4

  c. 13

Step-by-step explanation:

The general term of an arithmetic progression is ...

  an = a1+d(n-1)

where a1 is the first term, and d is the common difference.

The sum of n terms is ...

  Sn = n(2a1 +d(n -1))/2

__

The given relations tell us ...

  S10 = 10(2a1 +9d)/2 = 10a1 +45d = 130

and

  a5 = 3a1

  a1 +4d = 3a1

  4d = 2a1

  2d = a1

Using this in the equation for S10 above, we have ...

  10(2d) +45d = 130

  d = 130/65 = 2

___

(a) The common difference is 2.

  d = 2

__

(b) The first term is a1 = 2d = 2(2)

  a1 = 4.

__

(c) an = 28 = 4 +2(n -1)

  24 = 2(n -1)

  12 = n -1

  13 = n

The 13th term is 28.

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Answer:

C-18.212 feet

Step-by-step explanation:

7 0
3 years ago
What number fills in the blank to complete the factorization of 3x + 24?<br><br> (x + 8)
Crank

we have

3x+24

<u>Find the greatest common factor GCF</u>

we know that

3\\ Factors=1,3\\ \\ 24=2^{3}*3\\  Factors=1,2,3,4,6,8,12,24

so

The GCF is equal to 3

therefore

3x+24=3*(x+8)

<u>the answer is</u>

The number is 3


8 0
4 years ago
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A zookeeper predicted the weight of a new baby elephant to be 233 pounds when it was born. The elephant actually weighed 265 pou
gtnhenbr [62]

Answer is 32% .of this question

7 0
4 years ago
the sum of the digits of a two digit number is 8. the number obtained by interchanging the digits exceeds the original number by
Sedbober [7]

Heya friend,

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

Let the digits at ones place be x. Then,

the digits at tens place = (8-x)

Original number = 10(8-x) + x

= 80 - 10x + x

= 80 - 9x

On interchanging the digits

new number obtained = 10x + 8-x

= 9x + 8

According to question,

New number - Original number = 18

9x + 8 - (80-9x) = 18

=> 9x + 8 - 80 + 9x = 18

=> 18x - 72 = 18

=> 18x = 18 + 72

=> 18x = 90

=> x = 90/18

=> x = 5

Hence, the digits at ones place is 5.

The digits at tens place = (8-5) = 3.

So, the original number is 35 and the new number is 53.

Thanks

8 0
3 years ago
8/12+1/4<br><br>ayuda por favor es para hoy​
navik [9.2K]
The answer is 11/12 , when getting the answer you have to get common denominator so you’d do 1/4 X 3 and you’ll get 3/12 then after all you do is add the numerator , hope this helped !
7 0
3 years ago
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