The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?​

Answers

Answer 1

Answer:

35

Step-by-step explanation:

1. Set up a equation.

2. X is the first, so the ones after x are x+2, x+4, x+6, x+8, and x+10.

3. That means that x+x+2+x+4+x+6+x+8+x+10=204.

4. Simplify. You would get that 6x+30=204.

5. Solve for x. 6x=174, so x=29.

6. Get the fourth number in the sequence. 29+6=35.

Answer: The fourth number in this sequence is 35.


Related Questions

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?

Answers

Answer:

(-14,0)

Step-by-step explanation:

-94 24

-74 18

-54 12

-34 6

-14 0

Answer:

-14,0

Step-by-step explanation:

khan academy

2. Add 62 to the difference of
90 and 36.​

Answers

Answer:

116

Step-by-step explanation:

(difference = subtract)

90 - 36 = 54

adding 62 to 54 = 116

answer

62+(90-36)

62+54

116

Anyone know how to evaluate this?

Answers

the correct answer is 3 over 256

Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon would then have twice as much as Kande. How much does each one actually have?​

Answers

Given parameters;

  Let us solve this problem step by step;

Let us represent Simon's money by S

Kande's money by K

Simon has more money than Kande

               S > K

 if Simon gave Kande K20, they would have the same amount;

 if Simon gives $20, his money will be  S - 20 lesser;

      When Kande receives $20, his money will increase to K + 20

                     S - 20  = K + 20   ------ (i)

While if Kande gave Simon $22, Simon would then have twice as much as Kande;

          if Kande gave Simon $22, his money will be K - 22

    Simon's money, S + 22;

                  S + 22  = 2(K - 22)    ------ (ii)

Now we have set up two equations, let us solve;

         S - 20  = K + 20  ---- i

         S + 22  = 2(K - 22)  ;       S + 22  = 2K - 44  ---- ii

So,      S - 20  = K + 20

          S + 22  = 2K - 44

subtract both equations;

               -20 - 22  = (k -2k)  + 64

                   -42  = -k + 64

                       k  = 106

Using equation i, let us find S;

            S - 20 = K + 20

             S - 20  = 106 + 20

              S = 106 + 20 + 20  = 146

Therefore, Kande has $106 and Simon has $146

Number 5 question canvas

Answers

It’s the first answer choice

If line n bisects segment CE, find the positive value of x.

A.6
B.10
C.15
D.9

Answers

9514 1404 393

Answer:

  D.  9

Step-by-step explanation:

The segment lengths are equal, so ...

  x^2 = 90-x

  x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form

  (x +10)(x -9) = 0 . . . . . factor

The solutions are the values of x that make the factors zero: -10, 9.

The positive value of x is 9.

(5a^2 + 3) (4a^2 + 3)

Answers

Answer:

204+272+9

Step-by-step explanation:

Pls help
I have this question and I can’t figure it out

Answers

Start by crossing out absurd answers, it helps a lot. Then you're left with two and choose the correct answer by doing the math

Step-by-step explanation:

cross the ones that you think are not right

3/4 5/6 16/25 9/15 smallest to largest

Answers

Answer:

All you need to do is find a common denomianatorand then solve from least to greatest hope this helps!

Step-by-step explanation:

To arrange thse fractions from smallest to greatest let us first change them into a fraction with a common denominator . Which means ;

= 3/4 = 225/300

= 5/6 = 250/300

= 16/25 = 192/300

= 9/15 = 180/300

Therefore , these fractions arranged from the smallest to the largest are :-

9/15 , 16/25 , 3/4 , 5/6 .

How many 5/16 are in. 1. 9/16

Answers

Answer:

The answer is 1.8.

Step-by-step explanation:

Glimepiride 2mg OD is ordered in a prescription, your pharmacy has 4mg stocks on hand. How much tablet will you give? 2mg​

Answers

At first, 1 to 2 milligrams (mg) once a day. Your doctor may adjust your dose until your blood sugar is controlled. However, the dose is usually not more than 8 mg per day.

Mrs. Santos can cook the menu for a party in 4 hours. Mr. Salonga can work to fast as she can. If they work together to cook, how many hours will it cake them to finish cooking.​

Answers

2 hours and 40 minutes

Step-by-step explanation:

Let a be Mrs Santos

Let b be Mr. Salonga

Mrs. Santos can cook the menu for a party in 4 hours

a = 4 hours

Mr. Salonga can work twice as fast as she can.

b = 2 ( 4) = 8 hours

The word time formula is

1/a +1 /b = 1/t

Where t is the total time

Substitute the values

1/4 + 1/8 = 1/t

1/4 + 1/8 = 2/8 + 1/8 = 3/8

Therefore

3/8 = 1/t

Doing cross multiplication

3*t = 1 * 8

3t = 8

Dividing both sides by 3

3t/3 = 8/3

t = 8/3 hours

t =2 \frac{2}{3}t=2

3

2

hours or 2 hours and 40 minutes

Each student was asked to create an expression whose quotient is 1/3. Each student and their response can be seen in the table below. Which students have answered correctly? Select all that apply. A. Angela B. Ben C. Chris D. Denice E. Elizabeth

Answers

Answer:

Pretty sure its Chris

Step-by-step explanation:

I've done this work and the only one with the answer is him.

Speedie ran the 200 meter race in 25.5 seconds. How much of an hour did it take Speedie to run
the race? 1.0 hour = 3600.0 seconds

Answers

Answer:

Speedie ran the race in 0.708(3)% of an hour, the 3 in the parentheses means the 3 repeats forever

Step-by-step explanation:

We have 25.5/3600, and when we convert it to a decimal, we have 0.00708(3), the 3 in the parentheses means the 3 repeats forever. To convert it to percentage, we multiply it by 100, to get 0.708(3). Hope it helps!

What is the slope of the line?​

Answers

Answer:

3

Step-by-step explanation:

Because the slope line is ending on 3

i need help it is math

Answers

Answer:

they are all right next to eachother

y = 6 sin(x) y = 6 cos(x) 0 ≤ x ≤ π/4 about y = −1

Answers

are you speaking another language

What is the mean of 5, -15, 7, -13, 1

Answers

Answer:

-3

Step-by-step explanation:

Add them all up and then divide by 5

The answer is -3 add them all up and divide them by five

What is 8/9 - 1/18? Please put in fraction form.
:)

Answers

Answer:

5/6

Step-by-step explanation:

8/9=16/18

16/18-1/18=15/18

15/18 divided by 3 is 5/6

Answer:

5/6

Step-by-step explanation:

8)Find a point R on segment ST such that the length of TR is 2/3 the length of ST. *

Answers

2/3 x 10 = 6.66666 because we are trying to find 2/3 OF 10/1

which is greater 1/8 or 3/20

Answers

Answer:

1/8

Step-by-step explanation:

in the diagram to the left, if m∠aed=152° , find each angle measure

Answers

Answer:

Step-by-step explanation:

1). ∠1 and ∠2 are supplementary.

  m∠1 + m∠2 = 180°

2). ∠1 and ∠2 are complementary angles.

   m∠1 + m∠2 = 90°

3). If ∠1 and ∠2 are vertical angles,

   m∠1 = m∠2 = 64°

4). ∠Q and ∠R are complementary angles.

   m∠Q + m∠R = 90°

   If m∠R = 73°,

   m∠Q + 73° = 90°

   m∠Q = 90° - 73°= 17°

5). m∠AED = 135°

a). Since, ∠AED and ∠AEC are supplementary angles,

   m∠AED + m∠AEC = 180°

   m∠AED = 152°

   152° + m∠AEC = 180°

   m∠AEC = 180° - 152° = 28°

b). m∠CEB + m∠AEC = 180°

    28° + m∠CEB = 180°

    m∠CEB = 180° - 28° = 152°

c). m∠FEC = m∠FEA + m∠AEC

                 = 90° + 28°

                 = 118°          

Answer:

Step-by-step explanation:

A

If = and x > 0 what is the value of x ?

Answers

O valor de x é 45º

Explicação:Confia no pai

The circus had 43,475 guests last year. The fair had 8,034 fewer guests
than the circus. How many guests did the fair have?

Answers

Answer:

This year, the circus had 35,441 guests.

Step-by-step explanation:

You just subtract 8,034 from 43,475.

I really hope this helped you!

На сколько процентов уменьшится объем прямоугольного параллелепипеда, если его длину уменьшить на 25%, а ширину и высоту на 20%?

Answers

Answer:

I dunno what your saying.

Step-by-step explanation:

Please us English

785,621 rounded to the nearest ten thousand

Answers

Answer:

790,000

Step-by-step explanation:

Take the place behind the place you're trying to round from, (thousands place in this case) and if that number is 5 or above, which it is, you round up. (790,000). If it's 4 or below, keep it as is.

lisa an experienced shipping​ clerk, can fill a certain order in 7 hours. ​bill, a new​ clerk, needs
8 hours to do the same job. Working​ together, how long will it take them to fill the​ order?

Answers

Answer:

3.73 hours

Explanation:

In 1 hour, Lisa does 1/7th of the order while Bill does 1/8th of the order in an hour. To find out how long it will take them to fill the order, we have to:

Step 1:

Add the rate of both Lisa and Bill together

1/7 + 1/8

Step 2:

Since both denominators of the fractions are different, you have to find the least common multiple of 7 and 8

7·8= 56    8·7= 56

which is 56.

Step 3:

Then, you have to multiply the numerator of 1/7 with 8 and the numerator of 1/8 with 7.

1·8= 8    1·7= 7

The fractions would now have equal denominators:

Lisa: 8/56    Bill: 7/56

Step 4:

Now, you can add them together

8/56 + 7/56

which equals to 15/56. Both Lisa and Bill together completes 15/56th of the order in 1 hour.

Step 5:

15/56 is not the final answer as it is the RATE of them working together. To find how long it will take them total to complete the order, you must divide 56 with 15.

56/15

which is 3.73 hours in decimal form (rounded).

A) 7.746
B) 37.947
C) 30.984
D) 33.941

Answers

9514 1404 393

Answer:

  B) 37.947

Step-by-step explanation:

Using the given formula, we find ...

  s = (12 +11 +7)/2 = 15

  A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards

a(x+y)-a(x-y) simplified .

Answers

Answer:

2ay

Step-by-step explanation:

a(x+y)-a(x-y)

Distribute

ax +ay - ax + ay

Combine like terms

2ay

Answer:   2ay

Work Shown:

a(x+y)-a(x-y)

ax+ay-ax+ay

(ax-ax)+(ay+ay)

(0ax)+(2ay)

0+2ay

2ay

Odd number between 3 and 19

Answers

Answer:

11, there both 8 away so its right in ze middle :D

Step-by-step explanation:

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