Find the sum of the first 30 terms of the following series, to the nearest integer.
2, 8, 14, ...

Answers

Answer 1

Answer:

a= 2

d= 6

n=30

sum= n/2[2a+(n-1)x d]

30/2[ 2x2 + (30-1) x 6]

15 [ 4 +29 x6]

15x 178

= 2670

hope it helps you

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Related Questions

Pleas help me, please explain how you got your answer :)​

Answers

Answer:

im not sure but i think its e,c,f

Step-by-step explanation:

Answer:

55 °

Here's the way i got my answer :

Complementary angles are two angles that have a sum of 90° ,therefore 35° + X = 90°

X=55° .

to get ∠DBF

180° - 90° = 90 °

to get ∠EBF

∠CBD + ∠DBE + ∠EBF = 180°

35° + 90° + ∠EBF = 180°

∠EBF = 55°

Student Council is selling tickets to the Winter
Dance. Tickets cost $5 per person or $8 per
couple. To cover expenses, at least $1200
worth of tickets must be sold. No more than 500
students can fit in the gym where the dance is
being held.
List two combinations of tickets that could be sold, so
that Student Council makes a profit, yet stays under the
room capacity.

Answers

Answer:

Two possible combinations are;

1) 200 single and 30 couples

2) 150 single and 57 couples

Step-by-step explanation:

The given parameter in the question are;

The cost of ticket per person = $5

The cost of tickets per couple = $8

The minimum worth of tickets to be sold = $1,200

The maximum number of students that can fit in the gym = 500

Let 'x' represent the number of single persons that attend the dance and let 'y' represent the number of couple that attend, we have;

5·x + 8·y ≥ 1,200

x + y ≤ 500

Making 'y' the subject of both equations gives;

y ≥ 150 - 5·x/8

y ≤ 500 - x

From the graph of the inequalities created with Microsoft Excel, we have;

When x = 200, and y = 30, we get;

5 × 200 + 8 × 30 = 1240 > 1200

200 + 30 × 2 = 460 < 500

We also have;

x = 150, and y = 57, we get

Equating both values of 'y', we get;

5 × 150 + 8 × 57 = 1206 > 1200

150 + 57 × 2 = 264 < 500

Therefore, from the acceptable region in the graph, we have the following two possible combinations

1) 200 single and 30 couples

2) 150 single and 57 couples

A bag of apples weighs 8 4 10 pounds. A crate of bananas is 5 times as heavy as the apples. How much heavier are the bananas than the apples?

Answers

Answer: 33640 pounds
Explanation: 8410 times 5 is 42050, - 8410 = 33640

Which of the numbers below is greater than -2.4? Select all that apply.
A) 1.3
B) −3.6
C) −2
D) −32
E) −5

Answers

Answer:

A) 1.3 and C) −2

Step-by-step explanation:

A & C are greater then -2.4

-36 is greater than -35
True or false

Answers

Answer:

That is false. -36 is less than -35

False, this is because the more negative a number is, the lesser is becomes.

please help!!! - The price of an item has been reduced by $1.08. The new sale price is $98.75. What was the original price?

Answers

Answer:

my answer is 106.65 that is times

Answer:

$99.83

Step-by-step explanation:

The original price was lowered by $1.08, so the new price is $1.08 less than the original. Since the new price is $98.75, subtract $1.08 to get the original price. $98.75- 1.08= $99.83

How many solutions are there to the equation below?
5x - 2 - 3x(1 + 2) = 2(2 + 3)
A. O
B. infinitely many
C. 1

Answers

C. Only 1, you can tell by just looking at it, you can see that there will be a real number on one side and an x value on the other and by solving you can find only one answer that x will equal.

in a class, the ratio of boys to girls is four to three. if there are 20 boys in the class, how many girls are there? process plss

Answers

15 i think????jdjdnrndrnrnd

What is 4 & 1/2 ÷ 1/4?

Answers

Answer:

18

Step-by-step explanation:

Convert the mixed number to an improper fraction 9/2÷1/4

Reduce the numbers with the greatest common factor 2

and then multiply the numbers 9×2=18

18 is the correct answer

selling price is €280 and percentage profit is 40 percent what is the profit in euro's and the cost price?

Answers

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168

pls help me Solve the equation -7y + 4 =60 *

Answers

Answer:

y=−8

Step-by-step explanation:

−7y+4=60

Subtract 4 from both sides.

−7y=60−4

Subtract 4 from 60 to get 56.

−7y=56

Divide both sides by −7.

y=−56/7

Divide 56 by −7 to get −8.

y=−8

Grapf if needed:

Will give brainlest

The figure is made up of a cylinder and a cone. What is the exact volume of the figure? Enter your answer in the box.​

Answers

Answer:

V=160.22114

Step-by-step explanation:

Volume of cone = 47.12389

Volume of cylinder = 113.09734

Please help me with my homework! I accidentally answered 2 lol

Answers

Answer: 1 is independant

Step-by-step explanation: 2 is dependant. GOT IT CORRECT TRUST ME!!!

I need help with 2.04, 2.06 and 2.08!!

Answers

Answer:

Sorry I can't help with2.08

Hope the remaining helped

PLS mark BRAINLIEST


Mrs. Sanchez went to the hair salon.
The cost of her haircut and style was
$44.35, before tax. The sales tax rate
was 8%. If she added a 20% tip to the
total amount before tax, how muchM
did she pay for the service at the
salon? (Sales tax is paid only on the
service, not the tip.)

Answers

Answer:

$53.22

Step-by-step explanation:

$53.22

Sorry If I am wrong

8.5 as a improper fraction in its simplest form please

Answers

Answer:

9/2

Step-by-step explanation:

8.5 is the same as 8 5/10.

5/10 can be simplifed to 8 1/2

8 1/2 in improper form is 9/2

Hope this helps!

I need adjacent angle pair and vertical

Answers

Answer: Adjacent Angles: (1,2) and (3,4)

Vertical Angles: (1,3) and (2,4)

Step-by-step explanation:

Adjacent means that the two angles add up to 180 (in other words they form a straight line).

Vertical means that they are opposite from each other and have the same equal value.

hope this helps :)

Answer:

Adjacent angle are 4,2 and 1,3. The Vertical angles are 1,2 and 3,4.

Step-by-step explanation:

is it a abc or d please help asap

Answers

Answer:

The answer is D

Step-by-step explanation:

can someone help me with number one please

Answers

Answer: y=1/4x-5

Step-by-step explanation:

1/4 is the slop

-5 is the y-intercept

Y=mx+b (slope-intercept form)

m=slope

b=y-intercept

y=1/4x-5

12 6x−9y>12 what inequalities is equivalent to the inequality

Answers

Answer:

use mathpapa.com for those type of questions it always helps

Step-by-step explanation:

Which expression is equivalent to x + x + 4y?
A)
4xy
B)
6xy
C)
6 + xy
D)
2x + 4y

Answers

Answer:

The answer is b

Step-by-step explanation:

b is  6xy

2x+4y is the equivalent expression of x+x+4y.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  x + x + 4y

x plus x plus four times of y.

In the given expression x and y are two variables.

Equivalent expressions are expressions whose value will remain same after simplifying or solving.

We need to add x variable terms once and then with y term

x + x + 4y

2x+4y

Hence, 2x+4y is the equivalent expression of x+x+4y.

To learn more on Expressions click:

https://brainly.com/question/14083225

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In ΔGHI, the measure of ∠I=90°, GH = 8.5 feet, and IG = 4.7 feet. Find the measure of ∠G to the nearest tenth of a degree

Answers

Answer:

56.4

Step-by-step explanation:

help ill give brainliest

Answers

Answer: Choice B

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

Explanation:

Here's a slightly more detailed breakdown of what's going on

3x + 2y = 15 ... start with the first equation

3x + 2( y ) = 15 .... the parenthesis don't change the expression

3x + 2( 3x+5) = 15 ... replace y with 3x+5; since y = 3x+5

From here, you solve for x like you would any other single variable equation. Once you know x, you can determine y through y = 3x+5.

****PRE ALGEBRA - HELP ASAP BRAINLIEST & 15 PTS****

Answers

Answer:

x = 3

y = -2

(3,-2)

Step-by-step explanation:

I hope this helps!

NEED HELP ASAP I WILL GIVE BRAINLIST


What is the value of x in this diagram?

A
28
B
33
C
43
D
47

Answers

Answer:

The angle X = 33° Brainliest pls!

Step-by-step explanation:

180-104 = 76, 76- 10 = 66, 66/2=33

City y is 10 miles north of city x city z is 24 miles east of city x how long is the straight roads connecting cities y and z?

Answers

Answer:

26 miles

Step-by-step explanation:

Using Pythagoras rule :

d = straight road connecting city Y and Z :

d = sqrt(xy² + xz²)

d = sqrt(10² + 24²)

d = sqrt(100 + 576)

d = sqrt(676)

d = 26 miles

A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord, the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord stretches. What is the constant of proportionality in her equation?

Answers

A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord 36 , the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord 25 this us What is the constant of proportionality in her equation? Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. ... The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs.

what is the length of BC ?

Answers

The answer is c.

Since a^2+b^2=c^2, b^2=c^2-a^2 thus,
16=4-b^2= srt. of 12

Answer:

b = √12

Step-by-step explanation:

Pythogerom Thyrom

a^2 + b^2 = c^2

2^2 + b^2 = 4^2

4 + b^2 = 16

Find the value of b

4 - 4 + b^2 = 16 - 4

b^2 = 12

b = √12

Complete the square
to find the vertex
of this parabola.
x?+8y+2x - 23=0

Answers

Answer:

The vertex of the parabola is;

([-1], [3])

Step-by-step explanation:

The given quadratic equation is presented as follows;

x² + 8·y + 2·x - 23 = 0

The equation of the parabola in vertex form is presented as follows;

y = a·(x - h)² + k

Where;

(h, k) = The vertex of the parabola

Therefore, we have;

x² + 8·y + 2·x - 23 = 0

8·y = -x² - 2·x + 23

y = 1/8·(-x² - 2·x + 23)

y = -1/8·(x² + 2·x - 23)

y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)

y =  -1/8·((x + 1)² - 24) =  -1/8·(x + 1)² + 3

Therefore, the equation of the parabola in vertex form is y =  -1/8·(x + 1)² + 3

Comparing with y = a·(x - h)² + k, we have;

a = -1/8, h = -1, and k = 3

Therefore, the vertex of the parabola, (h, k) = (-1, 3).

When would you use a pictograph? to compare change over time if the data is numerical to save space for a large set of data if the data is categorical

Answers

Answer:

to save space for a large set of data

if the data is categorical

Step-by-step explanation:

The pictograph is used if the data is categorical

What is a pictograph?

A pictograph is a type of graph that uses pictures or symbols to represent data. It is best used when the data is categorical or non-numerical. For example, a pictograph can be used to show the favorite types of fruits of a group of people or the most popular colors of a group of cars.

Pictographs are useful for presenting data in a visually appealing way that is easy to understand, especially for younger or less experienced readers. They are less useful for comparing change over time or for presenting large sets of numerical data, as they can become cluttered and difficult to read.

Given data ,

Let the pictograph be represented as A

Now , pictographs are less useful for comparing change over time or for presenting large sets of numerical data, as they can become cluttered and difficult to read.

For example, if you want to show how the population of a city has changed over the years, a line graph or a bar graph would be a better choice than a pictograph

Hence , pictographs are useful if there is categorical data

To learn more about pictographs click :

https://brainly.com/question/768035

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