The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n - 1

Work out the three numbers that are in both sequences and also between 20 and 40

Answers

Answer 1

Answer:

The three numbers are 23, 29 and 35.

Step-by-step explanation:

Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.

To find: The three numbers that are in both sequences and also between 20 and 40.

Consider both the sequences.

Put n = 11 in the nth term 2n+1, we get 23.

So, the 11th term of first sequence is 23.

Now put n = 8 in the nth term 3n-1, we get 23.

So, the 8th term of the second sequence is 23.

Therefore, first number that is in both sequence and lies between 20 and 40 is 23.

Now put n = 14 in the nth term 2n+1, we get 29.

So, the 14th term of first sequence is 29.

Put n = 10 in the nth term 3n-1, we get 29.

So, the 10th term of the second sequence is 29.

Therefore, second number that is in both sequence and lies between 20 and 40 is 29.

If we put n = 17 in the nth term 2n+1, then we get 35.

That is, 17th term of first sequence is 35.

Now we put n = 12 in the nth term 3n-1, then we get 35.

That is, 12th term of second sequence is 35.

So, third number that is in both sequence and lies between 20 and 40 is 35.

Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.


Related Questions

Please help solve for X and AB.

Answers

Answer:

x=3 and AB=20

Step-by-step explanation:

If CB and BD are equal segments then you can solve for x by solving for

3x+6=8x-9

3x+15=8x (Add 9 to both sides)

15=5x (Subtract 3x from both sides)

x=3 (Divide 5 by both sides)

To find AB, substitute 3 and x

7(3)-1

21-1

20

what is 3 6/7 times 4 2/28

Answers

Answer:

15.7040816327

Step-by-step explanation:

Answer:

it is  15 69\98  hope this helps!!

Step-by-step explanation:

Urgent!!!! Solve 3∣∣x+2∣∣<12.

Graph the solutions on the number line.

Answers

Step-by-step explanation:

First, you have to solve the inequality of x :

| x + 2 | < 12

x + 2 < 12

x < 10

AND

- x - 2 < 12

- x < 14

x > - 14

Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.

the formula y=12x converts x feet to y inches. Rewrite the formula to convert y inches to x feet

Answers

Answer:

x=y/12

Step-by-step explanation:

I took the variable and flipped it. Instead of solving for y inches, I solved for x feet.

PLEASE HELPPP!!!!
A landscape company, Patio Town, told William it would cost $3,200 to build a new patio in his backyard.

The materials needed make up 40% of the total cost.
The expense of hiring workers makes up 60% of the total cost.
William decided to do all the work himself and to buy all the materials from Patio Town. How much did William pay Patio Town for materials?

Answers

40% of $3,200 is $ 1,280

william payed patio town $1,280 for the materials

Which of the following statements is true?

Answers

Answer: The y-intercept is 5

Step-by-step explanation:

y = 2x + 4
and
y = 2x - 8

Solve the systems by substitution

Answers

Answer:

-x - y - z  = -8   ........      (1a)

-4x + 4y +5z = 7     .....   (2a)

2x + 2x =  4   ..........       (3a)

since (3a) a is an equation solely in x make x the subject of the equation

  2 ( x + x) = 4

 divide both sides by 2

      (x + x)  = 2

            2x  = 2

              x  =  1  .......  (3b)

  substitute x in (3b) for x in (1a)

          -(1) - y - z  = -8  

    make y the subject of the equation

              -y - z  =  -8 + 1

                    -y =  -7 + z

                     y = 7 - z  ..... (1b)

 substitute y in (1b) for y in (2a) as well as the value of x ( x= 1)

        -4(1)+ 4( 7 - z ) +5z = 7

       - 4 + 28 - 4z + 5z  = 7

              -24 + z  = 7

                       z  = 7 + 24

                       z  = 31

By using (1a) solve for y

          -(1) - y - (31)= -8          

          -1  - y - 31 = -8        

                        y = -1 - 31 + 8

                        y = -24

 

∴ the solutions of the system are  x = 1 ; y = -24 ; z = 31  

Hope this helps!!!!!!!

//////////////////////////////////////////////////////////////////////////////////////////////////

Write in index form
3x * 3x * 3x * 3x

Answers

3^4 or 3 to the 4th power
3x^4 good luck please brainliest

How much tip would you give a driver who charged you $15.60, and you wanted to tip him 10%? asap

Answers

Answer is $1.56=10/11*15.60

Answer:

In total its 17.16 but the tip is 1.56

Step-by-step explanation:

Trust me


Subtract. Simplify (or reduce) your answer, if necessary.
2 1/5 - 5/6 =

Answers

Answer:

2 1/5 - 5/6 = 41/30

Step-by-step explanation:

Turn the denominator to be the same because if the denominator is not the same so you can't subtract neither can you add.

Next find the least common multiple of both denominator (5, and 6) and ask yourself what time the denominator would give you the least common multiply you got.

1/5 x 6/6 = 6/30 and 5/6 x 5/5 = 25/30

Your expression now would be 2 6/30 - 25/30

You can't subtract 6 from 25 so you have to turn the proper fraction into a improper fraction

2 6/30 = 2 x 30 + 6 = 66/30. 25/30 = 0 x 0 + 25 = 25/30.

Your new expression would be:

66/30 -  25/30

Now you can subtract 66 - 25 and you get 41

Therefore the correct answer is 41/30 you can not simplify the answer because the numerator is a odd number and the denominator is a even number.

C = 7a^4+ + 5a²b2 – 3b^4
D=5a^4 + 7a²b^2 + 3b^4
C - D =

Answers

Answer:

2a^4 +12a

[tex]2 {a}^{4} + 12 { a}^{2} \\ \times \times [/tex]

Answer:

C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]

Step-by-step explanation:

We are given:

[tex]C = 7a^4+ + 5a^2b2 - 3b^4\\D=5a^4 + 7a^2b^2 + 3b^4[/tex]

We need to find C-D.

Finding C-D we actually have to subtract D from C

So, finding C-D

[tex]C-D\\= 7a^4+ + 5a^2b2 - 3b^4-(5a^4 + 7a^2b^2 + 3b^4)\\=7a^4+ + 5a^2b2 - 3b^4-5a^4-7a^2b^2-3b^4[/tex]

Now, combining the like terms.

Like terms are those that have same variables and exponents.

In our case, [tex]7a^4\: and\: 3b^4, 5a^2b^2\: and\: -7a^b^2, -3b^4\:and\:-3b^4[/tex]

[tex]=7a^4 - 3b^4+5a^2b^2 -7a^b^2 -3b^4-3b^4\\=4b^4 -2a^b^2 -6b^4[/tex]

So, we get C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]

what division equation is related to 4x6=24

Answers

Okay, 4x6=24 so we will use that product for the division equation.
24 divided by 6 =

24 - 6 - 6 - 6 = 4
So the correct answer is 24 divided by 6 is 4 or 24 divided by 4 is 6.

Answer:

24÷6=4 or 24÷4=6

Step-by-step explanation:

Ok so we know 6x4=24, so just do 24÷6 or 24÷4.

Hope this helped!

If a room has a length of 15 feet, then what is the length in yards? Hint: 3 feet= 1 yard​

Answers

Answer:

5 yards

Step-by-step explanation:

Given;

1 yard = 3 feet

The length of a room is 15 feet

Find;

The length of the room in yards

Set up a proportion;

[tex]\frac{1yard}{3feet}=\frac{x-yards}{15feet}[/tex]

Solve;

x = 5 yards

Find the restrictions on the variable.

Answers

Answer:

[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]

Step-by-step explanation:

x^2 + 4x - 45

= (x+9)(x-5)

x^2 + 10x + 9

= (x+9)(x+1)

So the fraction goes to

[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].

Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.

Solve It! Suppose that you want to create two identical wings for a model airplane. You draw one wing on a large sheet of tracing paper, fold it along the dashed line, and then tract the first wing. How do you know that the two wings are identical?

Answers

Answer:

you copied the other line

Step-by-step explanation:

you drew over the other line and it should be exact

Answer:

Hope this helps ! (OwO)/

Step-by-step explanation:

A line is formed when the paper is flod. Because of this, this helps the paper give an even form so there won't be any troubles. And if, the paper is uneven then the paper plane will be clusmy and fly in a corner. Brainlist? ʕ·ᴥ·ʔ

Find three ratios equivalent to the ratio described in the situation the ratio of cups of water to cups of milk in a recipe 1 to 5

Answers

10 + 10 = 21

dont ask howwwwww

I will give brainiest to whoever answers correctly !!

Answers

Answer:

3.82% (approximately)

Step-by-step explanation:

Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012

Answers

Answer:

11

Step-by-step explanation:

I think if I am wrong I am sorry

father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step​

Answers

Answer:

5 steps

Step-by-step explanation:

[tex]65cm \times 8 = 520cm[/tex]

[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]

[tex]25 \times 8 = 200cm \: gap[/tex]

[tex]200 \div 40 = 5[/tex]

Answer:

His daughter has walked 13 steps

Step-by-step explanation:

Unit Conversion

Each step of the father is 65 cm long and each step of his daughter is 4 dm long.

Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.

Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.

His daughter has walked 13 steps

Pls Help ASAP if you. Can

Answers

I think it’s b because it would make the most sense I believe but I’m really sorry if I’m wrong

The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled $22,210. The adult admission is $5.50, and the children’s admission is $3.50. How many adult patrons were there?

Answers

Answer:

x= 2,180

x= number of adult tickets sold

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adult tickets sold

y= number of children tickets sold

5.5x + 3.5y = 22,210

x + y = 5,100

Now, we isolate one variable in a formula and substitute its value in the other:

x= 5,100 - y

5.5*(5,100 - y) + 3.5y= 22,210

28,050 - 5.5y +3.5y = 22,210

2y= 5,840

y= 2,920

x= 5,100 - 2,920

x= 2,180

Please help if you know the answer only!!!

Answers

On the second question it is x=-4
it is x=-4 i hope this helps

If an angle has a measure of x radians, what is the measure of the angle in degrees?
  degrees   

Write a function ff that determines the degree measure of an angle in terms of the radian measure of the angle, x.
f(x)=

Answers

Answer:

Step-by-step explanation:

2π radians = 360°

x  radians · 360°/(2π radians) = (180x/π)°

f(x) = 180x/π

The measure of the angle in degrees would be (180x/π)° and the function would be f(x) = 180x/π which determines the degree measure of an angle in terms of the radian measure of the angle x.

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Given that an angle has a measure of x radians,

So the measure of the angle in degrees

Since 2π radians = 360°

Therefore x  radians · 360°/(2π radians)

= (180x/π)°

A function f represents the degree measure of an angle in terms of the radian measure of the angle, x.

⇒ f(x) = 180x/π

Hence, the measure of the angle in degrees would be (180x/π)° and the function would be f(x) = 180x/π which determines the degree measure of an angle in terms of the radian measure of the angle x.

Learn more about the function here:

brainly.com/question/12431044

#SPJ2

my teacher would like me to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :) *the ratios are to be turned into fractions.*​

Answers

Answer:

84

Step-by-step explanation:

52%of math problem are pointless.

52%of math problem= pointless

52%of 175

(52/100)×175

91=pointless

math problem - pointless =non pointless

175 - 91 = 84

C - -1
D - 3/4
Can someone please help? I’ll give you brainliest.

Answers

Answer:

Step-by-step explanation:

The answer is (A)

You have 60 teaspoons of peppercorns. You need 0.25 teaspoons to make one serving of beef brisket. How many servings can you make?

Answers

Answer:

One Serving - 1/4 teaspoon

240 Serving - 60 teaspoon

plz mark as brainliest

SOMEONE PLS HELP!! QUICKLY!!​

Answers

9514 1404 393

Answer:

  x = 2

  NK = 16

Step-by-step explanation:

The Pythagorean theorem can be used to find LN:

  LN² +LC² = NC²

  LN² = NC² -LC² = 65^2 -63^2 = 256

  LN = √256 = 16

  LN = NK = 16 . . . . each of NM, LN, NK is the inradius, so they are congruent

__

  LN = NM = 8x = 16

  x = 2

A dog eats 2/5
of a bag of dog food in ten days. How many bags of
food will the dog eat in 12 weeks? Express your answer as a decimal.

Answers

The answer for your dog would be 2-4 7.8 that your answer your welcome

Which of the following shows the Commutative Property of Multiplication?

A) 4x5=5x4
B) 4×(5+ 8) = (4 × 5) + (4 x 8)
C) 3 x 2) × 7 = 3 ×(2 x 7)
D) 9×7 = 63​

Answers

The options that shows the Commutative Property of Multiplication is:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)  

------------------------------

The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:

[tex]a \times b = b \times a[/tex]

From the options, the ones which shows it are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)

In C), on the left-side, first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.

A similar problem is given at https://brainly.com/question/6788284

I will give brainiest to whoever answers correctly !!

Answers

Answer:
Percent mark up= 15.75- 9.75/ 7.95= 0.7 5471698.

The mark up in the price of fish dinner is around 75.4%
you can set up a proportion
15.75/9.75 = x/100
9.75x = 1575
x = 162
about a 162% markup

hope this helps!
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