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Strike441 [17]
2 years ago
15

The first term of an arithmetic sequence is 4 and the tenth term is 67.

Mathematics
1 answer:
Dmitry [639]2 years ago
6 0

Answer:

Step-by-step explanation:

Formula

tn = a1 + (n-1)* d

Givens

tn = 67 (it is the last term or the nth term

n = 10

a1 = 4

find d

Solution

67 = 4 + (10 - 1)*d

67 = 4 + 9*d               Subtract 4 from both sides

67 - 4 = 9d            

63 = 9d                      Divide by 9

63/9 = 9d/9              

7  = d

Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.

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Solve the system of equations.<br> ​<br><br> 2x−9y=14<br> x=−6y+7<br> ​
ipn [44]

Step-by-step explanation:

put \: x \: into \: equation \: 1

2( - 6y + 7) - 9y = 14

- 12y + 14 - 9y = 14

- 21y + 14 = 14

- 21y = 14 - 14

- 21y = 0

\frac{ - 21y}{12}  =  \frac{0}{21}

y = 0

put \: y = 0 \: into \: equation \: 2

x = 6y + 7

x = 6(0) + 7

x = 0 + 7

x = 7

3 0
2 years ago
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What are the solution of the equation 2|×+7|-3=5​
marin [14]

Answer:

x = -3

Step-by-step explanation:

2(x + 7) - 3 = 5     (given)

2x + 14 - 3 = 5     (Distributive Property)

2x + 14 = 8           (Addition Property of Equality)

2x = -6                  (Subtraction Property of Equality)

x = -3                    (Division Property of Equality)

6 0
3 years ago
Five times the sum of twice a number, x, and two is ten.<br> Find the number. <br> x=?
Inessa [10]

Answer:

0

Step-by-step explanation:

5(2x + 2) = 10

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x = 0

5 0
2 years ago
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Help please. Seriously. I've posted this question 2 times. I seriously need help on this, guys.
Svetradugi [14.3K]

Answer:

20s=m

Step-by-step explanation:

I really don't understand it that well but all that I can is that s can represent students that went on the trip, and each student's ticket cost is 20$, so 20*s=20s, but we are taking m as the total money collected, so we can end up saying that 20s=m, hope u understood :)

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2 years ago
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Please select the best answer from the choices provided
Lana71 [14]
<h3><u>Answer:</u></h3>

Hence, the value of z is:

20

<h3><u>Step-by-step explanation:</u></h3>

The point C is the mid point of the line segment VW.

That is it divides the line segment VW into two equal segments.

i.e. Length of segment VC= Length of line segment CW.

Also we are given that:

Length VW=61

Length VC=z+13

and Length CW=z+8

This means that:

VC+CW=VW

i.e. z+13+z+8=61

⇒ 2z+21=61

⇒ 2z=61-21

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Hence the value of z is:

20

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3 years ago
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