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dalvyx [7]
3 years ago
15

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48 ?

Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0
a_1=8;\ a_9=48\\\\a_9-a_1=8d\\\\8d=48-8\\8d=40\ \ \ |divide\ both\ sides\ by\ 8\\d=5\\\\a_{23}=a_1+22d\\\\a_{23}=8+22\cdot5=8+110=118\\\\Answer:\boxed{a_{23}=118}
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oee [108]

Answer:

1/4

Step-by-step explanation:

this is the answer hope will help

7 0
3 years ago
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There are 2 girls and 7 boys taking swimming lessons. The ratio that compares the number of girls taking swimming lessons to the
Morgarella [4.7K]

Answer: 2:9, 2 to 9, 2/9

5 0
3 years ago
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Please help with this!
Klio2033 [76]

Answer:

  • y = 8
  • RS = 51
  • ST = 29

Step-by-step explanation:

(a) You use the fact that the lengths RS and ST total the length RT.

  RS +ST = RT

  (6y+3) +(3y+5) = 80 . . . . . substitute the given values

  9y +8 = 80 . . . . . . . . . . . . .simplify

  9y = 72 . . . . . . . . . . . . . . . .subtract 8

  72/9 = y = 8 . . . . . . . . . . . .divide by the coefficient of y

___

(b) Now, the value of y can be substituted into the expressions for RS and ST to find their lengths.

  RS = 6y +3 = 6·8 +3

  RS = 51

  ST = 3y +5 = 3·8 +5

  ST = 29

___

<em>Check</em>

  RS +ST = 51 +29 = 80 = RT . . . . the numbers check OK

5 0
3 years ago
What is the solution to the system of equations x+y=10 and x+2y=4 using the linear combination method?
Elis [28]

Answer:

The solution:

X = 16 and Y = -6

Step-by-step explanation:

The equations to be solved are:

x+y = 10 ------- equation 1

x+2y = 4 ----------- equation 2

we can multiply equation 1 by -1 to make the value of x and y negative.

This will give us

-x- y = - 10 ------- equation 3

x+2y = 4 ----------- equation 2

We will now add equations 3 and 2 together so that x will cancel itself out.

this will give us

y = -10 +4 = -6

hence, we have the value of y as -6.

To get the value of x, we can put this value of y into any of the equations above.  (I will use equation 1)

x - 6 = 10

from this, we have that x = 4

Therefore, we have our answer as

X = 16 and Y = -6

3 0
4 years ago
ABC has vertices st A(11,6) , B(5,6) , and C(5,17)
Paraphin [41]

Distance = ((x2-x1)^2+(y2-y1)^2)^0.5

Solving 

∆ABC  A(11, 6),

B(5, 6), and C(5, 17)


AB = 6 units   BC = 11 units AC = 12.53 units

∆XYZ  X(-10, 5), Y(-12, -2), and Z(-4, 15)

XY = 7.14 units   YZ = 18.79 units XZ = 11.66 units

∆MNO  M(-9, -4), N(-3, -4), and O(-3, -15).



3 0
3 years ago
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