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katrin2010 [14]
3 years ago
15

Solve the problem round to nearest hundreth

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

From what number if it’s over _50 go 2 the next 100

124=100

164=200

So on

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Given the Arithmetic series A1+A2+A3+A4 7 + 11 + 15 + 19 + . . . + 91 What is the value of sum?
aivan3 [116]

Answer:

The value of the sum is 1078

Step-by-step explanation:

* Lets revise how to find the sum of the arithmetic series

- In the arithmetic series there is a constant difference between each

 two consecutive terms

- Ex:

# 4 , 9 , 14 , 19 , 24 , .......... (+ 5)

# 25 , 15 , 5 , -5 , -15 , .......... (-10)

- So if the first term is a and the constant difference between each two

  consecutive terms is d, then

  U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , ..........

- Then the nth term is Un = a + (n - 1)d

- The sum of n terms is Sn = n/2[a + L] , where L is the last term in

 the series

* Lets solve the problem

∵ The arithmetic series is 7 + 11 + 15 + 19 + ......................... + 91

∴ The first term (a) is 7

∴ The last term is (L) 91

- Lets find the constant difference

∵ 11 - 7 = 4 and 15 - 11 = 4

∴ The constant difference (d) is 4

- Lets find the sum of the series from 7 to 91

∵ Sn = n/2[a + L]

∵ a = 7 and L = 91

∴ Sn = n/2[7 + 91]

- We need to know how many terms in the series

∵ L is the last term and equals 91 lets find its position in the series

∵ Un = a + (n - 1)d

∵ a = 7 , d = 4 and Un = 91

∴ 91 = 7 + (n - 1)(4) ⇒ subtract 7 from both sides

∴ 84 = (n - 1)(4) ⇒ divide both sides by 4

∴ 21 = n - 1 ⇒ add 1 to both sides

∴ n = 22

∴ The number of the terms in the series is 22

- Lets find the sum of the 22 terms (S22)

∴ S22 = 22/2[7 + 91]

∴S22 = 11[98] = 1078

* The value of the sum is 1078

4 0
3 years ago
Vowels are the letters A, E, I, O, U, and Y. Consonants are all the letters that are not vowels. Select all the words that have
viktelen [127]
Whats taking u so long abu
4 0
4 years ago
Read 2 more answers
What does X equal?<br><br> 15= x/6 - 1
Drupady [299]
X=96

first add the one to the 15 then multiply it by 6 and you get 96

8 0
4 years ago
Read 2 more answers
Solve the equation 11(5c-1)-18=53c+11<br>​
Gwar [14]

Answer:

c = 20

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0
3 years ago
Read 2 more answers
Which equation represents the line that passes through the points (6 -3) and (-4 -9)
Yuliya22 [10]
First of all you neeeeeed to make sure you know the formula for slope!
which is...
                y2 - y1
    m  =   -----------
                x2 - x1

and since they already gave you two x and y coordinates this is really simple:)  first of all you need to understand what is y2, y1, or x2, x1
taking the points (6,-3) i hope u understand that 6 is the x and -3 is the y.    so knowing that information you always remember to use the information in the order that they gave it to you. i will add an extra link to help explain. Sooo then knowing that you plug it into the formula that I gave you earlier 
so look at the next link that i made:)  
so your slope is 6/5! or 1.2 as a decimal
hopefully you would know what an equation looks like but just in case this is it      y = mx+b 
 so your equation looks like this y = 1.2x -3 
  where did i get the -3?
well look at first x and y coordinate thats your first y intercept:))
hope i helped!!.... and that this was right lol
let me know if it was correct thanks.

8 0
3 years ago
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