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

What is a possible first step when multiplying 4/5 by 3

Answers

it’s D, as you would multiply 4 and 3, and put it over 5.

what does it mean by "determine the equation of a line that passes through the given point. First find the slope" someone please help and give answer ASAP

Answers

Answer:

y=-3x-1

Step-by-step explanation:

The mistake that was made was in the denominator of the work. The second 2 should be the -1. This is what you should get:

[tex]\frac{-7-2}{2-(-1)}[/tex]

[tex]\frac{-9}{3} =-3[/tex]

Hope that clear things up.

solve the proportion just type in the answer do not include the variables 14/8 equals x over 20​

Answers

The answer. . . . . . x=35
To solve this ratio let us use cross multiplication :-

[tex] \frac{14}{8} = \frac{x}{20} [/tex]

[tex]14 \times 20 = 8 \times x[/tex]

[tex]280 = 8x[/tex]

[tex]8x = 280[/tex]

[tex]x = \frac{280}{8} [/tex]

[tex]x = 35[/tex]

Using this let us find the proportional fractions :-

[tex] \frac{14}{8} = \frac{x}{2 0 } [/tex]

[tex] \frac{14}{8} = \frac{35}{20} [/tex]

[tex]∴the \: proportional \: fractions \:are :[/tex]

[tex] \frac{14}{8} :: \frac{35}{20} [/tex]

mia has 14 coins in her pocket that total $1.10. what are the coins in her pocket

Answers

Answer: Either 8 dimes and 6 nickles, or 4 quarters and 10 pennies. Both combinations add up to $1.10.

Have a nice day

The 14 coins can be:

- 8 dimes and 6 nickels

Or

- 10 pennies and 4 quarters

Given,

14 coins make up $1.10

We need to find what are the 14 coins.

What are the different types of coins that make up a dollar?

We have,

100 pennies = $1

20 nickels = $1

10 dimes = $1

4 quarters = $1

Find the coins that are worth $1.10

We have

10 dimes = $1

So,

1 dime = $0.10

8 dimes = $0.80 _____(1)

20 nickels = $1

So,

1 nickels = $0.05

6 nickels = $0.30 _____(2)

100 pennies = $1

10 pennies = $0.1 _____(3)

4 quarters = $1 ______(4)

From (1) and (2)

8 dimes + 6 nickels = $0.80 + $0.30

14 coins = $1.10

From (3) and (4)

10 pennies + 4 quarters = $0.1 + $1

14 coins = $1.10

Thus the 14 coins can be:

- 8 dimes and 6 nickels

- 10 pennies and 4 quarters

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When Louisa arranges her pennies into a rectangle with two equal rows, three equal rows, four equal rows, or six equal rows, she has one leftover penny. When she arranges her pennies into a rectangle with five equal rows, she has two leftover pennies. How many pennies could Louisa have? Remember he has between 10 and 40 pennies total.

Answers

Answer:

37

Step-by-step explanation:

All those can have equal rows with leaving the one out and with five equal groups it would leave 2

4/3+1/6=p what two numbers does p fall between

Answers

1 and 2

The number comes out as 1 and 1/2 or 1.5

What is the length of the hypotenuse of the triangle?

Answers

Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. For example, if one of the other sides has a length of 3 (when squared, 9) and the other has a length of 4 (when squared, 16), then their squares add up to 25. The length of the hypotenuse is the square root of 25, that is, 5.

Step-by-step explanation:

Hope this helps! <3

3
1
1 point
Solve the equation below. Round your answer to the nearest hundredth (2 decimal places) if needed.
4
X/15 +15=19
Type your answer.
5

Answers

Answer: X= 570

Step-by-step explanation:

      X

  _____         = 19

15   +   15  

Multiply both sides by 30

      30X

  _____         = 19 x 30

15   +   15  

Simplify

x=570

The length of the window is 2m longer than its width and the are is 32m²

Answers

The last part is confusing but how I think it is is you multiply 32 by 2 and subtract 2

A selective college would like to have an entering class of 1200. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students will accept. The college decides to admit 1500 students. Assuming that students make their decision independently, the number who accept, X, has the Bin(1500, 0.70) distribution. If this number is lower than 1200, the college will admit students from its waiting list.What is the mean of the distribution of X - that is, the expected number of students who will accept admission

Answers

Answer:

The value is [tex]\mu = 1050 [/tex]

Step-by-step explanation:

From the question we are told that

The sample size is n = 1500

The probability of a student accepting the admission is p = 0.70

Generally the mean off the distribution of X is mathematically represented as

[tex]\mu = np[/tex]

=>    [tex]\mu  =  1500 *  0.70 [/tex]

=>    [tex]\mu  =  1050 [/tex]

please help me with functions​

Answers

Answer:

1.) Domain: [-2, 1] Range: [1, 2] 2.) Domain: [-1, 2] Range: [-2, 2]

Step-by-step explanation:


Find the difference of 6/7 minus 1/14

Answers

Answer:

11/14

Step-by-step explanation:

Answer:

11/14

Step-by-step explanation:

Convert to common denominator then subtract the numerator

Factor 5x^2? + 10x + 2x + 4.​

Answers

Answer:

x 2 + 6 x +9

Step-by-step explanation:

What is 1/6 in a Percent

Answers

Answer:

16.67%

Step-by-step explanation:

1. Take 1 divided by six : 1/6 = 0.16666 . . .

2. Multiply by 100 to get a percent: 16.67%

Solve by using the quadratic formula: x^2 - 6x + 7 = 0 Please enter any square root values using "sqrt" or the decimal answer rounded to the nearest hundredth (i.e. V2 = sqrt(2) or 1.41).​

Answers

Given parameters:

 Quadratic expression:

                 x² - 6x + 7 = 0

Solve using quadratic formula;

                      x   = [tex]\frac{-b +/- \sqrt{b^{2 } - 4ac} }{2a}[/tex]

From the equation;

  a  = 1, b = -6 and c = 7

Input the parameters and solve;

           x = [tex]\frac{-(-6) +/- \sqrt{-6^{2 } + 4 x 1 x 7 } }{2 x 1}[/tex]

          x = [tex]\frac{6 +/- \sqrt{36} +28 }{2}[/tex]

        x = [tex]\frac{6 +/- \sqrt{64} }{2}[/tex]

          x = [tex]\frac{6 + 8}{2 }[/tex]    or [tex]\frac{6-8}{2}[/tex]

          x = 7 or -1

         

Answer:x is 7 or -1

Step-by-step explanation: based on the quadratic expression

is 9.90 biger or less or equal 9.9​

Answers

Answer:

Equal

Step-by-step explanation:

9.90 = 9.9

The difference is just decimal places

Evaluating the two values, both numbers 9.90 and 9.9 are equal.

The value 9.90 is written to 2 decimal places as the value of 0 in the hundredth place adds no value in terms of size to the number.

The other value 9.9 is written to 1 decimal place. Hence, both values are of equal size.

Hence, the values 9.90 and 9.9 are equal.

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What is the y-intercept of the function f(x) =-2/9x + 1/3?
-2/9
-1/3
1/3
2/9

Answers

Answer:

1/3 is the y-intercept of the function

1/3 is the y-intercept

Someone, please help me out here.


P.S if you don't know the answer to this question don't comment at all because it's not very useful to me or anyone who needs help. Plus it just adds a warning to your account which may or may not get you banned.

Answers

Answer:

Smallest to largest

Step-by-step explanation

4/3, square root of 2, 1.423..., pie, 1.666...., square root of 4

add the following conceptually and using the standard algorithm 79-26​

Answers

Answer: 53

Step-by-step explanation:

79

-26

53

A menagerie consists of seven brown dogs, two black dogs, six gray cats, ten black cats, five blue birds, six yellow birds, and one black bird. Deter- mine which of the following statements are true and which are false.
a. There is an animal in the menagerie that is red.
b. Every animal in the menagerie is a bird or a mammal.
c. Every animal in the menagerie is brown or gray or black.
d. There is an animal in the menagerie that is neither a cat nor a dog.
e. No animal in the menagerie is blue.
f. There are in the menagerie a dog, a cat, and a bird that all have the same color.

Answers

Answer:

(a) False

(b) True

(c) False

(d) True

(e) False

(d) True

Step-by-step explanation:

(a) There is an animal in the menagerie that is red (false, the colors of the animals are brown, black, gray, blue, yellow)

(b) Every animal in the menagerie is a bird or a mammal (True, dogs and cats are mammal)

(c) Every animal in the menagerie is brown or gray or black. (false, there are five different colors of animals in the menagerie)

(d) There is an animal in the menagerie that is neither a cat nor a dog (True, the animal is bird)

(e)  No animal in the menagerie is blue ( False, there are five blue birds)

(f) There are in the menagerie a dog, a cat, and a bird that all have the same color. (True, the color is black)

Which of the following completes the statement?

In the number 45,569, the 5 in the hundreds place is ______ the 5 to its left.

A. the same value as
B. 1/10 the value of
C. 10 times the value of
D. 100 times the value of ​

Answers

Answer:

B

Step-by-step explanation:

Because the 5 in the hundreds place multiplied by 10 will result in the product of 5,000.

Write the
slope-intercept form
of the equation of the
line described:

Perpendicular to y=x+4 and passes through the point (2,2)

Answers

Answer:

y=-1x+4

Step-by-step explanation:

The transformation function rule (x, y) --> (x - 1, y) is an example of which type of transformation?

Answers

Answer:

translation

Step-by-step explanation:

because it's only being moved left by one unit

Which expression is equivalent to 1/4 -3/4 x?

Answers

Answer:

factor out 1/4 from the expression

1/4x(1-3x)

plz plz pls help pls

Answers

Answer:

The second choice.

Step-by-step explanation:

Answer:

52 + 4 = 4 + 52

Step-by-step explanation:

Hope that will help you

R
(x + 1)
(3x - 5)
S
Р
What is mzPQR ?

Answers

Answer:

x+  1= 3

Step-by-step explanation:

^^

6 eggs weigh 3/4 of a pound. How much does each egg weigh?

Answers

9514 1404 393

Answer:

  1/8 lb or 2 oz

Step-by-step explanation:

You find the weight per egg by dividing the weight by the number of eggs:

  (3/4 lb)/(6 eggs) = 3/24 lb/egg = 1/8 lb/egg

A pound is 16 ounces, so 1/8 lb is 2 oz.

Each egg weighs 1/8 lb or 2 oz.

in general how does perimeter "a" affect y=a(b x-c)?​

Answers

A affects the slope of the graph.

When a is less than 1, the amplitude of the graph decreases which causes the slope of the graph to appear more flat.

When a is greater than 1, the amplitude of the graph increases which causes the slope of the graph to appear more steep.

What's the number of people left to play at 10 of
15 have played

Answers

Answer:

5 people will be left to play

Answer: Out of 10 to 15 people played,  5 people are left to play

What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?
(x Superscript 4 Baseline + 2 x) (3 x minus 7)
x Superscript 4 Baseline (3 x minus 7) (2 x minus 1)
x (x cubed + 2) (3 x minus 7)
x (3 x Superscript 4 Baseline minus 7 x cubed + 6 x minus 14)

Answers

Answer:

x(x³ + 2)(3x - 7)

Step-by-step explanation:

I got it right

The solution is Option D.

The equation is simplified as A = x ( 3x⁴ - 7x³ + 6x - 14 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 3x⁵ - 7x⁴ + 6x² - 14x   be equation (1)

Now , on factorizing the equation , we get

Taking the common factor as x in the equation , we get

A = x ( 3x⁴ - 7x³ + 6x - 14 )

Therefore , the value of A is x ( 3x⁴ - 7x³ + 6x - 14 )

Hence , the equation is A = x ( 3x⁴ - 7x³ + 6x - 14 )

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