The sum of 5 consecutive integers is 310 What is the third number in this sequence?

Answers

Answer 1

310/5 = 62

60 +61 +62 +63 +64 = 310

 3rd number is 62


Related Questions

3(t-7) =6. Solve for the and show steps
8(h-9) =8 solve for h and show steps
9+2(z-2) =15 solve for z and show steps

Answers

 [tex] 3(t -7) = 6 \\ 3(t) + 3(-7)\\ 3(-7) = -21 \\ 3t = 3t \\ 3t - 21 = 6 \\Add21: 3t - 21 + 21 = 6 +21 \\ 3t = 21: Divide3 \\ \frac{3t}{3} cancel = \frac{27}{3}keep \\ t = 9 [/tex]
________________________________________________________________
 [tex]8(h - 9) = 8 \\ 8h - 9 = 9 \\ 8h = 8h \\ 8(-9) = -72\\ 8h + (-72) = \\ 8h - 72 = 8 \\ Add72: 8h - 72 + 72 \\ = 8 + 72 \\ divide8 : \frac{8h}{8}cancel = \frac{80}{8} (keep) \\ h = 10 [/tex]
________________________________________________________________
 [tex]9 + 2(z - 2) = 15 \\ 9+2(z)+ 2(-2)= 15 \\ 2(-2) = -4 \\ 9 +2z = ? \\ 9 +2z+4 = 15\\ Subtract5: 2z + 5 -5 \\ = 15 -5 \\ Divide2: 2z = 10 \\ \frac{2z}{2}cancel = \frac{10}{2} = 5 \\ z = 5 [/tex]
:)                                                                                                                                             :)
good luck on your assignment and enjoy your day

~[tex]MeIsKaitlyn:)[/tex]

Jennifer is saving money to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 toher savings. How long will it take her to save enough money to buy the bike?

Answers

125 135 145 155 165 175 185 195 205 220 235 245= 11 weeks

What is the distance between points J and K?

Answers

-8 to 0 = 8

0 to 4 = 4

8+4 = 12

 distance is 12

Evaluate the expression (x-2y)^2where x=3and y=2

Answers

x = 3

y = 2

[tex](x-2y)^2 = (3-(2*2))^2 = (3-4)^2 = (-1)^2 = -1*-1 = 1[/tex]

Hence, the answer is 1.

To evaluate the expression (x-2y)² where x=3 and y=2, substitute the values of x and y into the expression and simplify.

To evaluate the expression (x-2y)² where x=3 and y=2, we substitute the values of x and y into the expression.

Substituting x=3 and y=2 into the expression, we get (3-2*2)².

Solving this expression, we have (3-4)^2 which simplifies to (-1)².

Finally, (-1)² equals 1.

For more such questions on expression, click on:

https://brainly.com/question/29040058

#SPJ2

In how money ways can a five-letter license plate be made with the letters from April if none of the letters are repeated ?

Answers

25 different ways in total. 5 letters times itself (5) is 25. That’s how many times




















Write a quadratic function f whose zeros are 2 and 9 .

Answers

A quadratic function, when factored, is written as two binomials e.g. (x+2)(x-1), right? When we set each binomial equal to zero and solve, we get the x-intercepts of the graph...the zeros of the quadratic.

For this system, x=2 and x=9 are the zeros. 
Therefore (x-2) and (x-9) are the binomials which solve to those zeros.
Multiply the binomials together to get the quadratic:

(x-2)(x-9) = x² - 11x + 18

f(x) = x² - 11x + 18

Substituting these values into the general form of a quadratic equation

f(x) = x²  -  11x   +  18    

A quadratic equation is of the form:

f(x) = x²  -  (Sum of roots)x  +  (product of roots)

The given roots are 2 and 9

Sum of roots = 2 + 9

Sum of roots = 11

Product of roots = 2 x 9

Product of roots = 18

Substituting these values into the general form of a quadratic equation

f(x) = x²  -  11x   +  18    

Learn more here: https://brainly.com/question/1214333

A carpet sells for $27.99 a square yard. what is the price of the carpet per square meter?

Answers

Note that
1 yd = 0.9144 m
1 yd² = (0.9144 m)² = 0.8361 m²

The carpet sells for $27.99 per square yard.
Therefore the selling price is
[tex](27.99 \, \frac{\$}{yd^{2}} )*( \frac{1}{0.8361} \, \frac{yd^{2}}{m^{2}} ) = 33.48 \, \frac{\$}{m^{2}} [/tex]

Answer: $33.48 per square meter.

a sealed rectangular box measuring 8 x 6 x 18 contains 864 sugar cubes, each measuring 1 x 1 x 1. How many sugar cubes are touching the box ?

Answers

The surface area of each face of a sugar cube is 1*1 = 1 units²

The rectangular box has 6 faces in contact with sugar cubes.
The area of each of two faces is 18*6 = 108 units²
Therefore these two faces touch 2*108 = 216 cubes

There are two other faces each of area 18*8 = 144 units²
Therefore these two faces touch 288 cubes.

There are another two faces, each of area 6*8 = 48 units².
Therefore these faces touch 96 cubes.

The total number of cubes touching the faces of the box are
216 + 288 + 96 = 600

Answer: 600 cubes

Help with rate of sales tax

Answers

well, he paid 20.51 total, but the retail price is just 18.99, so he ended up paying 20.51 - 18.99 extra, or 1.52.

so, if we take 18.99 to be the 100%, how much is 1.52 in percentage off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 18.99&100\\ 1.52&t \end{array}\implies \cfrac{18.99}{1.52}=\cfrac{100}{t}\implies t=\cfrac{1.52\cdot 100}{18.99}[/tex]

Find the cost per ounce of a sunscreen made from 100 oz of a lotion that costs $1.50 per ounce and 150 oz of a lotion that costs $4.50 per ounce. (round your answer to the nearest cent.)

Answers

Is this the full question, because if it is, then the answers are $1.50 and $4.50.

Given (x – 7)2 = 36, select the values of x.



x = 13



x = 1



x = –29



x = 42

Answers

The answer is below:
13 & 1

we have

[tex](x-7)^{2} =36[/tex]

square root on both sides

[tex](x-7)=(+/-)\sqrt{36}[/tex]

[tex](x-7)=(+/-)6[/tex]

[tex]x=(+/-)6+7[/tex]

[tex]x1=6+7=13[/tex]

[tex]x2=-6+7=1[/tex]

therefore

the answer is

[tex]x1=13[/tex]

[tex]x2=1[/tex]

Write a story that could describe the expression:-9-5x

Answers

Answer:

Step-by-step explanation:

Emily has a lemonade stand she starts with -9 dollars. Everyday Emily loses 5 dollars.

China's population is 1.446×10^9 . Marshall Islands' population is 6.025×10^4 . How many times larger is China's population than Marshall Islands' population? Fill in the blanks.

1.) 0.024
2.) 2.4
3.) 240
4.) 10^4
5.) 10^5
6.) 10^13


___ x ___ times larger

Answers

Final answer:

The population of China is approximately 240 times larger than the population of the Marshall Islands. This is calculated by dividing China's population (1.446×[tex]10^9[/tex]) by the Marshall Islands' population (6.025×[tex]10^4[/tex]). (Option 3)

Explanation:

The question asks us to determine how many times larger China's population is compared to the population of the Marshall Islands. To find the answer, we divide the population of China by the population of Marshall Islands:

1.446×[tex]10^9[/tex] (China's population) ÷ 6.025×[tex]10^4[/tex] (Marshall Islands' population).

Carrying out this division, we get a result of approximately 240 times larger. Thus, the population of China is 240 times larger than that of the Marshall Islands.

The number of cars (c) in a parking lot increases when the parking fee (f) decreases. Write the correct equation for this scenario, and solve for the number of cars when the fee is $6. Fee Cars 20 15 30 10

Answers

Data:

Fee   Cars
20     15
30     10

Given that you have only two set of data, you can only assume a linear model.

To find the linear model (equation) that predict the number of cars (x) as a functionn of the parking fee (f) you follow, using only two set of data, follow this procedure:

1) Find the slope, m

m = [10 - 15] / [30 - 20] = - 5 / 10 = - 0.5

2) Use the slope-point equation

y - y1 = m (x - x1)

=> y - 10 = - 0.5 (x - 30)

=> y - 10 = - 0.5x + 15

=> y = - 0.5x + 15 + 10

=> y = - 0.5x + 25

or c = - 0.5 f + 25  <-------- equation

Now you can replace 6 for f to get the number of cars when the fee is $6

c = - 0.5 (6) + 25 = - 3 + 25 = 22 <---- this is the number of cars when fee is $6

Answers:

c = - 0.5 f + 25

number of cars = 22

What is the value of 6 in 342.76?
A six ten-thousandths
B six thousandths
C six tenths
D six hundredths

Answers

the second digit to the right of the decimal point is the hundredths place

 so it is D. 6 hundredths.

The answser is D) six hundreths

What is the value of n?



−6.5(n−5)=18.2

Answers

the value of n is 2.2

What's the answer to 1/6d+2/3=1/4(d-2) and can someone explain/work this out with me?

Answers

1/6d + 2/3 = 1/4(d - 2)...first, distribute thru the parenthesis
1/6d + 2/3 = 1/4d - 1/2....multiply everything by the common denominator 12
2d + 8 = 3d - 6 ...subtract 3d from both sides
2d - 3d + 8 = -6 ...subtract 8 from both sides
2d - 3d = -6 - 8.....simplify
-d = - 14...multiply both sides by -1 to make d positive
d = 14
1/6d+2/3=1/4(d-2)
distribute
1/6d+2/3=1/4d-1/2
add 1/6d to both sides
2/3=5/12d-1/2
add 1/2 to both sides
7/6=5/12d
divide by 5/12
2 4/5=d 
Hope this helps!

I need help with number 26 and 27, thanks.

Answers

As stated above in the comments ^^

26 is y = 2/3x - 14/3

27 is y = -3x + 11

Let me know if you ever want the explanation! Hope this helps!

David played a video game 5 times. The list shows his scores.
4975,5275,4825,5100,4950

What is the difference between the mean and median of the data ?

A.25

B.50

C.75

D.200

E.400

Answers

You would add up all of the numbers and then divide them by 5 since you have a total of 5 different sets of numbers (To get the mean). Then you have to find the median by putting all of the numbers in numerical order and get the number in the middle. Finally you subtract the median from the mean and you end up getting “B” as your answer.

The difference between the mean and median of the data is 50.

What is the mean?

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given:

David played a video game 5 times.

The list shows his scores:

4975,5275,4825,5100,4950.

To find the median:

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data points. To find the median, firstly arrange the data points in ascending order.

4825, 4950, 4975, 5100 and 5275.

So, the middle number is 4975.

The median is 4975.

To find the mean;

The mean = the sum of the scores / 5

The mean = 25125 / 5

The mean = 5025

The difference:

5025 - 4975 = 50

Therefore, the required difference is 50.

To learn more about the mean;

brainly.com/question/13451489

#SPJ5

Geometry Help
1. The vertex angle of an isosceles triangle is always acute. (True/False)
2. The base angles of isosceles triangles are always complementary.(True/False)
3.All of the sides of an isosceles triangle are always congruent. (True/False)

i think the first one would be true, second true, and third one would be false... need confirmation

Answers

you got it! 
TRUE
TRUE
FALSE
1. The vertex angle of an isosceles triangle is always acute: FALSE, since it can be acute or obtuse

2. The base angles of isosceles triangles are always complementary: FALSE, it's true ONLY in an isosceles RIGHT ANGLE triangle, where the angle at the base each equal 45°

3.All of the sides of an isosceles triangle are always congruent: FALSE, all sides are all congruent in an EQUILATERAL triangle

What is the range of the following set of numbers? 114, 90, 83, 101, 97, 142, 117, 87, 72

Answers

the range of that set is 70, because you take the highest number and subtract the lowest number

Answer:

The answer is 70

Step-by-step explanation:

Write an equation of the line containing the point (3,5)and perpendicular to the line 2x- 3y

Answers

Answer:

The equation of the line would be y = -3/2x + 19/2

Step-by-step explanation:

First we need to solve the original equation for y so that we can find the slope.

2x - 3y = 0

-3y = -2x

y = 2/3x

So since the equation has a slope of 2/3, we know the perpendicular slope would be -3/2 (since perpendicular slopes have opposite and reciprocal slopes). Then we can use this and the ordered pair in point-slope form.

y - y1 = m(x - x1)

y - 5 = -3/2(x - 3)

y - 5 = -3/2x + 9/2

y = -3/2x + 19/2

Nicholas bicycled 15.8 kilometers each day for 18 days last month. how many kilometers did he bicycle last month?

Answers

15.8 km each day for 18 days...

so he biked a total of (15.8 * 18) = 284.4 km <==

How many more people attended the Magic's games than attended the pacers' games? 582,295 pacers 715,901 magic

Answers

substract 582295 from 715901:
715901-582295=133606

Answer:

133606 persons

Step-by-step explanation:

Number of persons attended the Magic's game= 715,901 games

Number of persons attended the Pacer's game= 582,295 persons

We have to find the number of persons who attend the Magic's game more than Pacer's game.

To find this, we have to find the difference

Number of persons attended the Magic's game= 715,901 games

Number of persons attended the Pacer's game= 582,295 persons

Number of persons who attended More Magic's game= 715901- 582295

Number of persons who attended More Magic's game= 133606 persons

Hence, the correct answer is 133606 persons

help........me pls.........

Answers

10 Flower Image Stamps
5 Mountain Image stamps
2 Mountain Image Stamps and 6 Flower Image Stamps

Sorry it took so long, but hope this helps!

solve the following equation 3x-5=x+12

Answers

Hi Mreana7

add 5 to both sides

simplify x + 12 + 5 to x + 17

subtract x from both sides

simplify 3x - x to 2x

divide both sides by 2

Answer: x = 17/2.

Which functions have graphs that are less steep than the graph of f(x)= -4x^2

SELECT EACH CORRECT ANSWER

m(x)=5x2

k(x)=4x2

h(x)=−3x2

j(x)=−x2

g(x)=−5x2

Answers

tTese are all parabolas   whose axis of symmetry  is the y  axis. The negative coefficient means they open downwards and the positive mean they open upwards. The higher the absolute value of the coefficient is the greater the slope, so  2x^2 will be steeper than x^2  and -4x^2 will be steeper than - 2x^2.

So h(x) and j(x)  are the answers.

The quadratic equations that are less steep than  f(x)= -4x² are:

h(x) = -3x² j(x) = -x² Which functions have graphs that are less steep than the graph of f(x)= -4x²?

Here we want to identify which equations have graphs less steep than the graph of the quadratic f(x) = -4x²

To identify those, we just need to see which equations have a leading coefficient with a smaller absolute value than |-4| = 4

These equatios are:

h(x) = -3x²  ---> With a leading coefficient of -3, absolute value of 3.

j(x) = -x² ---> with a leading coefficient of -1, absolute value of 1.

Learn more about quadraitc equations:

https://brainly.com/question/1214333

#SPJ3

Use the number line below to find the midpoint of AD

Answers

midpoint of line AD = (-7+1) ÷ 2
= -6 ÷ 2
= -3

The midpoint of AD is -3.

What is the difference between the ratio AP:PB and the ratio of AP:AB?

Answers

AP:PB compares parts to parts. AP:AB compares parts to a whole, this ratio equals K.

A line segment can be divided into subsegment using ratios. The difference between [tex]AP:PB[/tex] and [tex]AP: AB[/tex] is that:

Ratio [tex]AP:PB[/tex] compares the two subsegments of AB while Ratio [tex]AP: AB[/tex] compares a segment of AB to the whole length of AB.

Given:

[tex]AP:PB[/tex] and [tex]AP: AB[/tex]

In [tex]AP:PB[/tex], we can see that AP and PB has a common point (P).

This means that:

[tex]AB = AP + PB[/tex]

i.e. AP and PB are two subsegments of line segment AB.

So, the ratio [tex]AP:PB[/tex] compares the two subsegments of AB

Because AP and PB are two subsegments of line segment AB.

Then, ratio [tex]AP: AB[/tex] compares a segment of AB to the whole length of AB.

Read more about ratios and segments at:

https://brainly.com/question/12298322

Three times the sum of a number and six is greater than four times the number decreased by two

Answers

3(x+6)>4x-2 hope this helped

Final answer:

The mathematical problem is to express 'Three times the sum of a number and six is greater than four times the number decreased by two' as an inequality, resulting in 3(n + 6) > 4n - 2, which simplifies to n < 20.

Explanation:

The question involves translating a word problem into an algebraic inequality. The problem statement 'Three times the sum of a number and six is greater than four times the number decreased by two' can be translated into the inequality 3(n + 6) > 4n - 2, where n represents the unknown number.

To solve this inequality, we would first expand the left side of the equation by distributing, resulting in 3n + 18 > 4n - 2. Then, we would get all n terms on one side and constants on the other, leading to the inequality n < 20.

Other Questions
A cube an edge length is 18in. What is it's volume? a rectangle has perimeter 182 inches and length 52 inches what is the width which word best describes Thomas Paine's tone in"the crisis No,1"? 50 POINTS!!! DO NOT ANSWER JUST FOR THE POINTS!!! IF YOU DO, ALL OF YOUR EARNED POINTS WILL BE TAKEN~~~~~~~~~~~~~~~Refer to the graph.The function is increasing on the interval(s):The function is decreasing on the interval(s):The function is constant on the interval(s):Please explain the steps you used. How is Fame seen in contemporary American culture? Give examples Significant facts about consensual encounters An important part of customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.75 that troubles in a residential service can be repaired on the same day. For the first 5 troubles reported on a given day, what is the probability that fewer than 2 troubles will be repaired on the same day? What is the majority of earth's freshwater used for? Jordan was in a relationship that she recently ended when she found out that her partner was cheating on her. she is probably experiencing __________. In Reynolds v. Sims, the Supreme Court ruled that ______. Why do you think that the men are show in their confederate uniforms Why could a self-driving car be considered too polite What argument does the author anticipate and indirectly refute in this excerpt from the Declaration of Independence?In every stage of these Oppressions We have Petitioned for Redress in the most humble terms: Our repeated Petitions have been answered only by repeated injury. A Prince whose character is thus marked by every act which may define a Tyrant, is unfit to be the ruler of a free people. If the equation of a line has a slope of zero and passes through the point (3,3) which form would be used to write the question of the line The length of a rectangle is 11 m greater than the width. The area is 42 m^2. Find the length and width. Which sentence ending would make the verb spoke a transitive verb How do the danish warriors protect themselves and how does this affect the atmosphere of herot? A 2-liter [l] soda bottle, made of pet, will fail at approximately 207 pound-force per square inch [psi] of pressure. if you were to dive straight down into the ocean with a 2-liter bottle, at what depth in units of feet [ft] would the bottle fail? assume the specific gravity of ocean water is 1.0251 What are the functions of the cytoskeleton? check all that apply. to provide the cell shape. to provide scaffolding for the enzymes in certain areas of the cell. to organize the cell's activities. to provide movement of molecules in the cell. to assemble ribosomes? What is the most important element of the plot of lord of the rings? Steam Workshop Downloader