1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MatroZZZ [7]
2 years ago
9

The first term of a sequence is a multiple of 3 The second term of this sequence is 6 less than the first term. The third term i

s 1/5 of the first term. The difference between the first and the third term is 12.
Work out the values of the first three terms of this sequence.​
Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
7 0

Answer:

First term = 15

Second term = 9

Third term =  3

Step-by-step explanation:

Given,

First term = 3x

Second term = 3x - 6

Third term =  \frac{1}{5} (3x) =  \frac{3x}{5}

Also,

3x -  \frac{3x}{5}  = 12

\frac{15x}{5}  -  \frac{3x}{5}  = 12

\frac{15x - 3x}{5}  = 12

15x - 3x = 12 \times 5

12x = 60

x =  \frac{60}{12}

x = 5

With the value of x, we conclude that the first three terms are as follows:

First term = 3x = 3×5 = 15

Second term = 3x - 6 = 15 - 6 = 9

Third term = \frac{3x}{5} =\frac{15}{5}= 3

You might be interested in
what are some tv shows a 12 year old watch on Netflix (im a mature 12 yr old and can watch almost anything) ​
Dmitriy789 [7]

Answer:

Umbrella Academy. Netflix. ...

The Baby-Sitters Club. Netflix. ...

Malibu Rescue. Netflix. ...

Alexa and Katie. Netflix. ...

Fuller House. Netflix. ...

Ashley Garcia, Genius in Love. Netflix. ...

The Letter for the King. Netflix. ...

Moesha. Netflix.

Booksmart (2019) Film. ...

The Half of It (2020) Director Alice Wu. ...

Mean Girls (2004) Film. ...

To All the Boys I've Loved Before (2018) Director Susan Johnson. ...

Handsome Devil (2017) Film. ...

Clueless (1995) Film. ...

The Edge Of Seventeen (2016) Film. ...

The Mitchells Vs The Machines (2021)

6 0
2 years ago
Can someone please give me the answers to my math homework
jok3333 [9.3K]

Answer: #1 is 10. #2 is 24. #3 is 3 1/5. #4 is 1 1/9. #5 is 21. #6 is 10 2/3. #7 is 30. #8 is 11 3/7. I’m only telling you eight of them because you are in fifth grade and you should try to complete the worksheet even if you mess up. You will learn from your mistakes after the paper is graded.


Step-by-step explanation: To get the answer, all you have to do is flip the second number and then multiply.


3 0
3 years ago
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

5 0
1 year ago
PLEASE HELP 7TH GRADE MATH!!!!
Gnoma [55]

Answer:

Step-by-step explanation:

3. the answer should be -68

5.-8.97

8 0
2 years ago
You are studying for your final exam of the semester. up to this point,you recieved 3 exam scores of 83%,85%, and 84%. to reciev
tamaranim1 [39]
<span>[68,100]

This will allow you to get a B score.

To solve find the medium by adding the values divided by 4, solve for the unknown of the final exam, with the minimum value equalling 80, this will give you 68.</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • The height off the ground, in feet, of a squirrel leaping from a tree branch is given by the function H(x) = –16x*2 + 24x + 15,
    14·1 answer
  • Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tick
    9·1 answer
  • Are DEF and RPQ Congruent?
    12·1 answer
  • 20: 5/3 in lowest terms
    6·2 answers
  • Choose all that correctly describe bivariate data on a residual plot.
    14·1 answer
  • I will give brainliest tovthe first person that answers​
    8·1 answer
  • Please explain to the point a dummy will understand
    6·1 answer
  • Which equation is a point slope form equation for line AB?
    8·1 answer
  • The length of two sides of a triangle are 10, 15 find the range of possible lengths for the third side
    10·1 answer
  • You have 31 coins consisting of nickels and
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!