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bagirrra123 [75]
3 years ago
8

Avery has 5 more than twice as many dolls as Caraleigh. Avery has 13 dolls in her collection. write an equation to represent the

number of dolls, c, Caraleigh has in her collection
Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0
13=2c+5
-5 -5
8=2c
/2 /2
4=c
____
| |
| c=4 |
|____|
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7. The ratio of the weight of cement to the weight of sand in a concrete mixture is 1:3.
kondaur [170]
1 3 6 concrete ratio
Concrete
Proportions by Cement No. of 50 kg Sand to total aggregate
1:3:6 4.0 31
1:4:5 4.0 41
1:3:5 4.4 35
1:4:4 4.5 47
4 0
3 years ago
Express the terms of the following sequence by giving a recursive formula.
emmasim [6.3K]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
4 years ago
Translate the following sentence into equations <br> •Three less than "x" is equal to 13
Vikentia [17]
3 less then x.......x - 3
is equal to 13...= 13

x - 3 = 13 <==
3 0
3 years ago
todd plans to swim 18 laps in the pool. Each lap is 50 yards. So far todd has swam 738 yards. What percentage of the total has t
Olegator [25]
50 yards for 1 lap

 50 yards x 18 laps = 900 total yards

now divide the amount he swam by the total amount he wants to swim:

738 / 900 = 0.82 = 82%

Answer is B
7 0
4 years ago
Which statement is necessarily true if || ?
sp2606 [1]

Can you give the choices please


7 0
3 years ago
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