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

Answer the questions below to find the total surface area of the can.

Answer the questions below to find the total surface area of the can.

Answers

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Abby is filling a 100 quart dog bath using a 2 gallon bucket. how many buckets will it take to fill the dog bath?

Answers

Answer is 12 1/2 buckets to fill the bath
( or 12.5 buckets)

Step by step

We know the bath holds 100 quarts
We know 100 quarts is equal to 25 gallons
( 4qts to 1 gallon)

If Abby is using a 2 gallon bucket, divide 25 gallons by 2

25/2 = 12 1/2 buckets to fill the bath

hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)

Answers

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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Four angles of an octagon are each 160°. If the remaining four angles are equal, calculate the size of each of these angles.​

Answers

Answer:

110°

Step-by-step explanation:

The sum of the interior angles of an octagon is 1080° → (8 - 2) × 180. We can now do 1080 - (160 × 4) to find the total of the remaining four angles: 1080 - 640 = 440°. Finally, we can divide 440 by 4 to find the size of one of the four remaining angles: 440 ÷ 4 = 110°

Hope this helps!

HELP ASAP WILL GIVE BRAINLIEST!!!
A certain type of cereal costs $3.79 for 19.5 ounces.

What is the unit rate?

Enter your answer, rounded to the nearest cent, in the box.

Answers

Answer:  0.19

This represents $0.19 per ounce which is the same as 19 cents per ounce.

=============================================================

Explanation:

To find the unit rate, we divide the cost over the number of ounces

(3.79 dollars)/(19.5 ounces) = 0.19435897 dollars per ounce approximately

Round this to the nearest cent, i.e. hundredth, to get 0.19 dollars per ounce. This is the same as saying "19 cents per ounce".

Answer: 0.19

Step-by-step explanation: I had no idea, I searched it up online. Sorry!

Round 10.999244792948 to the nearest whole number

Answers

Answer:

11

Step-by-step explanation:

1. Listing Information

The number is 10.999244792948.

Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.

The tenths place value in 10.999244792948 is 9.

2. Solving the Problem

With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.

In a direct variation, y=9 when x=3. Write a direct variation equation that shows the relationship between x and y.

Answers

In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x

What do you mean by direct variation?

Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.

Given,

In a direct variation, y=9 when x=3.

Formulate an equation based on the conditions stated: y=kx

We put the value of the y and x in this equation

9=k*3

Subtract the coefficient of the variable from both sides of the equation

k= 3

We can write the equation of the function by putting the value of k:  y=3x

Hence the correct answer is y=3x

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A one-week summer basketball camp promises 3 coaches for every 24 players. If 276 players register for the camp, how many coaches should the camp hire? Explain how you interpreted the calculation to decide.

Answers

Answer:

34.5 = 35 coaches

Step-by-step explanation:

276/24 = 12.5 = 11.5 (11 groups of 24 players + 12 players

11.5 x 3 =

2.5% of Iphones tested were defected. How many Iphones out of 5000 would be defected?

Answers

Answer:

I think the answer would be 125 iPhones.

Step-by-step explanation:

So basically the question is what is 2.5% of 5000.

Just multiply 5000 * 0.025 = 125

Find the smallest number by which 240 must be multiplied so that the product is a perfect square. *

Answers

Answer:

15

Step-by-step explanation:

\(240 = 2 \times 2 \times 2 \times 2 \times 3 \times 5 \\ = {2}^{4} \times 15 \\ \)

Here, 15 is not a square number so, 240 should be multiplied by 15 to make 240 as perfect square.

240* 15 = 3600

help me please

Indicate the method you would use to prove the two triangles. If no method applies, enter "none".
AAS
SSS
NONE
SAS
ASA

help me pleaseIndicate the method you would use to prove the two triangles. If no method applies, enter

Answers

ASA is the correct answer

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

One third of the people at a banquet ordered ice cream for desert. The rest ordered pie. One fourth of those requesting pie ordered apple pie. Of 180 people attended the banquet, how many ordered apple pie?

Answers

Answer:

30 people ordered the apply pie

Step-by-step explanation:

Given

Total number of people = 180

It is given that one -third of the people order the ice cream

So the people who order ice cream are:

\(= \frac{1}{3} * 180\\= 60\)

60 people order ice cream and rest who ordered pie are:

= 180-60 = 120

Now it is given that one-fourth of the people who ordered pie ordered apple pie

So,

\(= \frac{1}{4} * 120\\= 30\)

Hence,

30 people ordered the apply pie

The capacity of a water tank is 10000 litres and there is 4800 litres of water. A water tap can fill 40 litres of water per minute and another tap can empty 25 litres of water per minute. If both the taps are opened together for 10 minutes, then how much water will be in the tank after 10 minutes? ​

Answers

The amount of water tank  with water after 10 minutes will be 4950 liters.

To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.

Let's calculate the net flow rate of water per minute:

Flow rate = (filling tap flow rate) - (emptying tap flow rate)

Flow rate = 40 L/min - 25 L/min

Flow rate = 15 L/min

Now, we can calculate the net flow of water over 10 minutes:

Net flow of water = (flow rate) * (time)

Net flow of water = 15 L/min * 10 min

Net flow of water = 150 L

Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.

Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:

Final amount of water = (initial amount of water) + (net flow of water)

Final amount of water = 4800 L + 150 L

Final amount of water = 4950 L

After 10 minutes, there will be 4950 liters of water in the tank.

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can somebody please help cannot understand this Question

can somebody please help cannot understand this Question

Answers

Answer:

The answer would be -3 1/18

Step-by-step explanation:

Hope this helps :)

Answer:

Is that your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

can somebody please help cannot understand this Question

Jamal reads for 1/2 hour on Monday and 1/3 hour on Tuesday.how much more did he read on Monday than on Tuesday?​

Answers

Answer:

1/6 hour, or 10 minutes

Step-by-step explanation:

This is a subtraction problem.

1/2 - 1/3 =

We need a common denominator for 2 and 3. We can use 6.

= 1/2 * 3/3 - 1/3 * 2/2

= 3/6 - 2/6

= 1/6

Answer: 1/6 hours, or 10 minutes

​1.3 X 2.1 = Explain your answer.

Answers

2.73

1.3x2.1=2.73

1.3

x2.1

13

+26

2.73

Answer:

To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:

a × (b + c) = a × b + a × c

Using this property, we can break down 2.1 as the sum of 2 and 0.1:

1.3 × 2.1 = 1.3 × (2 + 0.1)

= 1.3 × 2 + 1.3 × 0.1

= 2.6 + 0.13

= 2.73

Therefore, 1.3 multiplied by 2.1 equals 2.73.

The Jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were arranged in 5 layers. After drinking of 61 cups of tea, the Joneses found that they were out of sugar. The Connors' sugar box was enough to last them through 88 cups of tea. Both families put either 2 or 3 pieces of sugar per cup. How many sugar cubes were in the box?

Answers

Answer:

180

Step-by-step explanation:

At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.

If the number of cubes equals x:

The least amount of sugar cubes the Jones family could have used is \(61*2\) which equals 122. The most they couldve used is \(61*3\) which equals 183.

Based on the information from the Jones family, x is between 122 and 183.

Based on the information from the Connor's, x is between 176 and 264.

Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.

hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?​

Answers

There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

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Out of the 25 students in Mrs. Joy's class, 17 have a pet. What percent of the students in Mrs. Joy's class have a pet?

Answers

Answer:

68%

Step-by-step explanation:

17/25=0.68

If we turn 0.68 into a percent it would be 68%

An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7 0-07<4-4 < 23.5
0-29 O 29

Answers

To find the 99% confidence interval for the difference in means, we first need to calculate the mean and standard deviation of the differences between the first and second assembly times.

The differences are: -9, 22, 0, -19, -105, 24, -46, -8, -5, -8, -8

The mean of the differences is: -9.5

The standard deviation of the differences is: 38.3

To calculate the 99% confidence interval, we use the formula:

(mean difference) +/- (t-value) * (standard deviation of differences / square root of sample size)

The sample size is 11, so the degrees of freedom are 10. Using a t-table with 10 degrees of freedom and a 99% confidence level, we find the t-value to be 3.169.

Plugging in the values, we get:

-9.5 +/- 3.169 * (38.3 / sqrt(11))

Which simplifies to:

-9.5 +/- 23.5

Therefore, the 99% confidence interval for the difference in means is (-33, 14).

If KL = 3x, LM = 2, and KM = x + 4, what is KM?

Answers

The value of KM is equal to 5.

A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within.

Consider a point L on a line segment KM such that:

We have the values,

KL = 3x ;

LM = 2

Now, we know,

KL + LM = KM

KM = 3x + 2                                                                                ---------(1)

Now, KM = x + 4                                                                         ---------(2)

Equating the equations (1) and (2),

We get,

3x + 2 = x + 4

Now, subtract 2 from each side of the equation.

3x + 2 - 2 = x + 4 - 2

3x = x + 2

Subtracting x from each side of the equation.

3x - x = x + 2 - x

2x = 2

Dividing each side of the equation by 2.

( 2x / 2 ) = ( 2 / 2)

x = 1

Therefore,

KM = x + 4

KM = 1 + 4

KM = 5

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\(2 log_{2}(x) + \frac{1}{2} log_{2}(x - 1) - log_{2}( x + 3) \)
solving these problem​

Answers

I'm putting here a picture of the working out

[tex]2 log_{2}(x) + \frac{1}{2} log_{2}(x - 1) - log_{2}( x + 3) [/tex]solving these problem

For the soccer team fundraiser, you carn 5 points
for every $3 you raise. If Tyson carned 85 points,
how much money did he raise?

Answers

Answer:

He raised 51 dollars

Step-by-step explanation:

If for every 5 points he raised 3 dollars he would have raised 51 dollars because he had 85 points.

Help me with my math hw please
(10 points)

Help me with my math hw please(10 points)

Answers

Answer:

1, 3, 5 are true

Step-by-step explanation:

1. 2+5 = 19-12 is true because 7=7

2. This is false because after simplifying, you would get 1 = 0 which is false.

3. After simplifying, you would get -5 = -5 which is true. So, this equation is true.

4. After simplifying, you would get 2x+16 = 2x-8. This is false.

5. After simplifying, you would get -2x+10 = -2x+10. This equation is true.

So, only the first, third, and last equations are true.

Find the volume of this sphere.
Use 3 for T.
d=6in
V ~ [?]in3
V = Tr3

Find the volume of this sphere.Use 3 for T.d=6inV ~ [?]in3V = Tr3

Answers

Answer:

V = 108 in³

Step-by-step explanation:

Given:

Volume of sphere = ⁴/3πr³

π = 3

d = 6 in.

r = ½(6) = 3 in.

Required:

Volume of sphere

Solution:

V = ⁴/3πr³

Plug in the values

V = ⁴/3 * 3 * 3³

V = ⁴/3 * 3 * 27

V = 4 * 27

V = 108 in³

Solve the |4X -5|= |-X +5|

Answers

Recall the definition of absolute value:

\(|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}\)

Then we have a few cases to consider:

• If \(4x-5\ge0\) and \(-x+5\ge0\), the equation simplifies to

\(4x-5 = -x+5 \implies 5x=10 \implies \boxed{x=2}\)

• If \(4x-5<0\) and \(-x+5\ge0\), we get

\(-(4x-5) = -x + 5 \implies -3x = 0 \implies \boxed{x=0}\)

• If \(4x-5\ge0\) and \(-x+5<0\), then

\(4x-5 = -(-x+5) \implies 3x=0 \implies x=0\)

but we already have this solution.

• If \(4x-5<0\) and \(-x+5<0\), then

\(-(4x-5) = -(-x+5) \implies -5x = -10 \implies x=2\)

which we also already found.

Find the missing value
A) 14
B) 12
C) 10
D) 13

Find the missing value A) 14B) 12C) 10D) 13

Answers

Answer:

12

Step-by-step explanation:

One part is 1 so 13 minus 1 is 12

The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population

Answers

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

What is population?

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.6 and that wafers are independent. Determine the probability mass function of the number of wafers from a lot that pass the test.

Answers

Answer:

P(X = 0) = 0.064

P(X = 1) = 0.288

P(X = 2) = 0.432

P(X = 3) = 0.216

Step-by-step explanation:

Given that the probability of a wafer passing the test = 0.6, hence the probability of a wafer failing the test = 1 - 0.6 = 0.4.

Let X be the number of wafers that pass the test, since they are 3 wafers, hence X = 0, 1, 2, 3

Probability that all the three wafers failed the test = P(X = 0) = 0.4 × 0.4 × 0.4 = 0.064

Probability that all one wafer passed the test = P(X = 1) = (0.6 × 0.4 × 0.4) + (0.4 × 0.6 × 0.4) + (0.4 × 0.4 × 0.6) = 0.288

Probability that two wafers passed the test = P(X = 2) = (0.6 × 0.6 × 0.4) + (0.4 × 0.6 × 0.6) + (0.6 × 0.4 × 0.6) = 0.432

Probability that all three wafers passed the test = P(X = 3) = (0.6 × 0.6 × 0.6) = 0.216

PLS HELP ASAPPPPPPP
I NEED HELP

PLS HELP ASAPPPPPPPI NEED HELP

Answers

The tables which shows a proportional relationship between x and y are table 3 and table 4.

Which table shows a proportional relationship between x and y?

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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