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USPshnik [31]
3 years ago
10

If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of th

e sequence?​
Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

Sum = 32

Step-by-step explanation:

Given

Sequence = Consecutive Odds

T_7 = 9

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

S = \{-3,-1,1,3,5,7,9,11\}

Add up all terms in the sequence

Sum = -3-1+1+3+5+7+9+11

Sum = 32

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What is -2 and 1/2 as a decimal<br>​
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hi,i need help with figuring out how to solve real world word problems with polynomial and integer expressions.Thankyou
Aneli [31]
Part a.

Fixed charge for the month: $30
Charge per hour: $0.50 daytime
Charge per hour: $0.25 nights and weekends

Let's say in one month, a person parks for d hours of daytime and n hours of nights and weekends.

The total monthly charge would be

cost = 30 + 0.50d + 0.25n

Now let's see what Trent did.

He parked for 47 hours in one month.
h of the 47 hours are nights and weekends.
Let x = number of daytime hours.

x + h = 47

x = 47 - h

He parked h hours of night and weekends, and he parked 47 - h hours of daytime.

Now we use h for night and weekend hours and 47 - h for daytime hours in the expression above.

cost = 30 + 0.50d + 0.25n

cost = 30 + 0.50(47 - h) + 0.25h

Answer to part a.: 30 + 0.50(47 - h) + 0.25h

Part b.

We are told the actual number of night and weekend hours, which we called h above, is 12. h = 12.
Now we use the cost expression we found in part a. with 12 in for h.

cost = 30 + 0.50(47 - h) + 0.25h

cost = 30 + 0.50(47 - 12) + 0.25(12)

cost = 30 + 0.50(35) + 0.25(12)

cost = 30 + 17.50 + 3

cost = 50.5

Answer to part b.: $50.50
8 0
3 years ago
cd city sells 5 cds for 49$ music land sells 8 cds for $59.50 which store is the better place to buy cds
Dmitriy789 [7]

Answer:

Music land has the better deal with each CD costing only $7.44 compared to $9.80 at CD City.

Step-by-step explanation:

In order to find the price per CD, you must divide the cost by the number of CDs in the bundle.

<u>Music Land</u>

$59.50/8 CDs = $7.44 per CD

<u>CD City</u>

$49/5 CDs = $9.80 per CD

Therefore, we know that Music Land is a better deal.

6 0
3 years ago
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