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Eddi Din [679]
3 years ago
9

This Question: 1 pt Find the sum of the sequence. 47 +48 +49 +50 + ... + 136 The sum is Enter your answer in the answer box.

Mathematics
2 answers:
Airida [17]3 years ago
8 0

Answer:

The sum is 8235.

Step-by-step explanation:

You can use the result that establishes that the sum of the first n natural numbers is given by the formula:

1+2+3+4+\cdots + (n-1)+ n= \dfrac{n(n+1)}{2}.

So, if you have to calculate the sum of the natural numbers from 47 to 136 you can sum from 1 to 136, then subtract the sum from 1 to 46. That is to say,

47+48+49+50+\cdots+136=(1+2+3+\cdots+46+47+\cdots +136)-(1+2+3+\cdots +46).

Using the given formula  we have:

47+48+49+50+\cdots+136=\dfrac{136\cdot 137}{2}-\dfrac{46\cdot 47}{2}=9316-1081=8235.

Svet_ta [14]3 years ago
6 0

Answer:

the other pereson oits righgt

Step-by-step explanation:

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Step-by-step explanation:

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Vitek1552 [10]

Answer:

Bill and Ted are going to order t-shirts for there school clubs. The t-shirts will have the club logo printed on the front. Bill and Ted ask two local t-shirt companies to give them a price. * Patty's Printing charges $21.50 for each t-shirt. * Sandra's shirts has a one-time set up fee for $63 and then charges $18 for each t-sh

Step-by-step explanation:

<u>Part 2: </u><u>Table Chart: </u>

Number of t-shirts: 2

Patty's cost: 43$

Sandra's cost: : 99$

Number of t-shirts: 4

Patty's cost: 86$

Sandra's cost: : 135$

Number of t-shirts: 6

Patty's cost: 129$

Sandra's cost: : 171$

Number of t-shirts: 8

Patty's cost: 172$

Sandra's cost: : 207$

Number of t-shirts: 10

Patty's cost: 215$

Sandra's cost: : 243$

Number of t-shirts: 12

Patty's cost: 258$

Sandra's cost: : 279$

Number of t-shirts: 14

Patty's cost: 301$

Sandra's cost: : 315$

Number of t-shirts: 16

Patty's cost: 344$

Sandra's cost: : 351$

Number of t-shirts: 18

Patty's cost: 387$

Sandra's cost: : 387$

<u>Part 3: Patty's Printing</u>

Linear equation = equation of a line= y=mx+b

y=21.5x

<u>Part 4: Sandra's Shirts:</u>

Linear equation = equation of a line= y=mx+b

y= 18x+63

<u>Part 5: Note to Jackie</u>

Dear Jackie, I recommend Sandra's shirts.

Write equations:

Sandra's Shirts = 18x+63

Patty's Printing = 21.5x

Sandra's Shirts: 495=18x+63 = 24 shirts

Patty's Printing: 495=21.5x = 23 shirts

<u>Part 6: Refute Jackie</u>

Sandra's Shirts is more expensive at the beginning, but as you buy more shirts (greater than 18), Patty's Printing becomes cheaper.

You should probably add to this, but I can't think of anything else.

<u>Part 7: Equality</u>

At 18 shirts (see table), the shirt cost is equal.

You should probably add to this, but I can't think of anything else.

18x+63=21.5x

Words of encouragement:

Good luck!

<u />

8 0
3 years ago
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