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exis [7]
3 years ago
8

Math sequence problem

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0
The above series is a Geometric series because:
t2/t1 = t3/t2  --> 14/7 = 28/14 --> 2 = 2
and common ratio (r)=2
The for S12 we have,
    S12 = a(1 - r^12) /(1-r) where, a = first term = 7
 or, s12 = 7*(1 - 2^12) / (1 - 2)
             = 28665    

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nikklg [1K]
A and B are variables 
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Customers at your store select their groceries from shelves and then pay. Sales records and records of restocks for Flaming Roas
ioda

Answer:

  • <em>The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -</em><u>2.</u>

Explanation:

The change in the number of bags any day is the number of bags is equal to the number of bags purchased to restock less the number of bags sold that day.

  • Change = bags purchased to restock - bags sold

At the end of <em>Tuesday</em>, the change is:

  • Restock:    6
  • Sales:        5
  • Change:    6 - 5 = 1    (note that this means that the number of bags increases by 1)

At the end of <em>Wednesday</em>, the change is:

  • Restock:    12
  • Sales:        8
  • Change:    12 - 8 = 4    (the number of bags increases by 4)

At the end of <em>Thursday</em>, the change is:

  • Restock:    12
  • Sales:        2
  • Change:    12 - 2 = 10    (the number of bags increases by 10)

At the end of <em>Friday</em>, the change is:

  • Restock:    18
  • Sales:        19
  • Change:    18 - 19 = - 1    (the number of bags decreases by 1).

At the end of <em>Saturday</em>, the change is:

  • Restock:    24
  • Sales:        22
  • Change:    24 - 22 = 2    (the number of bags increases by 2).

At the end of <em>Sunday</em>, the change is:

  • Restock:    0
  • Sales:        15
  • Change:    0 - 15 = - 15    (the number of bags decreases by 15).

At the end of <u>Monday</u>, the change is:

  • Restock:    0
  • Sales:        3
  • Change:    0 - 3 = - 3    (the number of bags decreases by 3).

The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday equals the algebraic sum of every change:

  • Net change = 1 + 4 + 10 + (-1) + 2 + (-15) + (-3)
  • Using associative property: (1 + 4 + 10 + 2) - (1 + 15 +3)
  • Simplifying: 17 - 19 = -2

<u>Conclusion</u>: the net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -2, meaning that the number of bags, after taking into account all sales and restock, decreases by 2.

5 0
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Answer:

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Step-by-step explanation:

According to the problem, 13/2 pounds is only 3/4 of a quart. A unit rate, however, has a denominator value of 1. To solve this question, we must change the value of 3/4 to 1.

The first step to this is changing 3/4 to 1/4. This means affecting the value 13/2 pounds. 1/4 is a third of 3/4. We must find a third of 13/2 to properly change this relationship. So, we should do 13/2 ÷ 3. This can also be written as 13/2*3. So, a third of 13/2 is 13/6. Our new relationship is 13/6 pounds = 1/4 quart.

Now, we can multiply 13/6 and 1/4 by 4 to get ? and 4/4, or 1. We can multiply the numerator by 4 to finish this step. 13/6 becomes 13*4/6, which equals 52/6. 52/6 can be divided by 2 to simplify the fraction and becomes 26/3.

So, the <em>unit rate of 13/2 pounds per 3/4 quart is 26/3</em>. 26/3 can also be written as 8.66666, or 8.6 with a line over the 6, in decimal form.

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Answer:

11

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C²=23

2C=0

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Substitute C=2 in the first equation 2C=23

2C=23

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