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ELEN [110]
1 year ago
7

Find the 17 th term of each sequence. a₁₆ = 1/5, d= 1/2

Mathematics
1 answer:
Dmitry [639]1 year ago
3 0

7/10 is 17th term of sequence a₁₆ = 1/5, d= 1/2.

Given the 16th term and the common difference, we add the common difference from the 16th term to determine the 17th term:

a₁₇ =  a₁₆ + d

    =  1/5 + 1/2

    = 7/10

<h3>How to solve an equation?</h3>

To solve linear equations, utilize the steps that are provided below.

  1. Remove parentheses from each side of the equation and combine similar terms to make it simpler.
  2. To separate the variable term on one side of the equation, use addition or subtraction.
  3. To find the variable, use division or multiplication.
  4. The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

brainly.com/question/14323743

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I need some help with solving this problem 8d-5&lt;6d+8
Lina20 [59]

Answer: d < 13/2

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    8*d-5-(6*d+8)<0  

Step by step solution :

Step  1  :

1.1    Divide both sides by  2  

     d-(13/2)  < 0

Solve Basic Inequality :

1.2      Add  13/2  to both sides

            d < 13/2

Inequality Plot :

1.3      Inequality plot for

        2.000 d  - 13.000  <  0

6 0
3 years ago
NEED ANSWERS ASAP, 100 POINTS! There are twenty classes at each of two middle schools. The number of students in each class at e
DiKsa [7]

Note: You missed to add the dot plots chart. As I found the chart after a little research. Thus, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.

Answer:

'There are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

Step-by-step explanation:

From the diagram, it is clear that

The data set containing Poplar Middle School:

20   20   20   21   21   21   21   21   22   22   22   22   22   22   22   23   23   23   23   24  

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

\mu = 435/20

  =\frac{87}{4}

   = 21.75

The data set containing Oak Middle School:

20   21   21   22   22   23   23   23   23   24   24   24   25   25   26   26   27   27   28   29  

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

\mu = 483/20

   =24.15

So, the difference in mean will be:

                                            24.15 - 21.75 = 2.4

Therefore, 'there are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

5 0
2 years ago
Find the area of a triangle with a base length of 3 units and a height of 4 units.
eduard
A = 1/2bh
= 1/2(3)(4)
=1/2(12)
=6
The area of the triangle is: B) 6 units. 

Hope this helps!
4 0
3 years ago
60% of the students on the field trip love the museum. If 24 students love the museum, how many students went on the field trip?
zhenek [66]

Answer:

40

60% of 40 is 24

so the answer would be 40

6 0
3 years ago
this morning, jose's car had 16.01 gallons of fuel. now, 1.5 gallons are left. how much fuel did jose use ?
Gekata [30.6K]

Answer:

Jose used 14.51 gallons of fuel

8 0
2 years ago
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