The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term then it would be 9. find the three terms of the series​

Answers

Answer 1

Answer:

The terms are - 1, 7 and 15.

Step-by-step explanation:

Let the terms be a-d, a and a+d

ATQ, a-d+a+a+d=21, a=7. a+d-(a+(a-d))=9. d=8. The terms are - 1, 7 and 15.


Related Questions

4. Maddie is making pineapple punch for her birthday party. The recipe says you need 3 cups of pineapple
juice for every 4 cups of ginger ale. If she uses 16 cups of ginger ale, how much pineapple juice will she
need?

Answers

The ratio of pineapple juice to ginger ale is 3:4. To get from 4 cups of ginger ale to 16 cups, we multiply by four. To keep the ratio, we do the same to the amount of pineapple juice so there should be 12 cups of pineapple juice. To check our ratio, we can see that 12:16 simplifies to 3:4 when we divide by four.

Answer: 12 cups of pineapple juice

Julie wants to make 800 g of a 15% alcohol solution by mixing a
20% solution and a 4% solution. How many grams of each kind
does she need?

Answers

Answer:

x =550

y=250

Step-by-step explanation:

.2x + .04y = 120

x + y = 800

What is the distance between (1, 9) and (1, -4)? Use the distance formula.

D=(x2-x1)2+(y2-y1)2

Answers

Answer:

D. 13

Step-by-step explanation:

You just have to plug in numbers then solve.

(1,9) and (1,-4). Every coordinate is placed as (x,y)

(1,9) is labeled as (x1, y1)

(1,-4) is labeled as (x2,y2)

Now plug in the numbers.

d= Square root of (1-1)^2 + (-4-9)^2

d= Square root of 1^2 +-13^2

d= Square root of 1+169

d= Square root of 170

d= 13.04

Rounded to a whole number, the answer is 13

Answer:

D

Step-by-step explanation:

you have to substitute the values in the distance formula,in this case x2 is 1,x1 is 1,y2 is -4 and y1 is 9

d=√(x2-x1)²+(y2-y1)²

=√(1-1)²+(-4-9)²

=√(0)²+(-13)²

=√169

=13

I hope this helps

find the sum or difference of 24-16

Answers

Answer:

24+16= 40

24-16=8 if it's wrong, try and make ur question more specific, thanks

Answer:

8 or 40

Step-by-step explanation:

24-16=8

24+16=40

Find the coordinates of U' after a reflection across parallel lines; first across the line x=-2 and then across the line x=-1 write your answer in form (a,b)

Answers

Answer:

U in the line x=-2: (-4,0)

U in the line x=-1: (-2-0)

Step-by-step explanation:

...............

helphelphelphelphelphelphelp

Answers

Answer:

P = 1,-10

Q=1,-1

R=7,-1

S=7,-10

find the surface area of the prism.​

Answers

Step-by-step explanation:

area of the base is the area of the rectangle 5×12.

B = 5×12 = 60 in²

the height h is then the side going up from that base rectangle : 4 in.

the perimeter of the base (rectangle) is 2×length + 2×width

P = 2×12 + 2×5 = 24 + 10 = 34 in.

Correct answer gets 5 star

Answers

Answer:

A. The function is Nonlinear.

If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.

Answers

Answer:

thanks for free ponits you dint gave it free but I theft I'm sorry

Please help me out with math will mark like brainlist if answers ASAP

Answers

Answer:

13/16

Step-by-step explanation:

To add these two fractions multiply the first fraction by 2 to get equivalent denominators so 6/16+7/16 then add the numerators to get 13/16.

Answer:

13/16

Step-by-step explanation:

3/8 + 7/16

Get a common denominator

3/8*2/2 + 7/16

6/16 + 7/16

13/16

tìm khoảng đồng biến, nghịch biến của hàm số
y= -5x+3

Answers

Answer:

sgehwjwnnwjwjj2629937463u83

Write an equation that represents the statement "the
product of a number, x, and the number 7 is 42."

Answers

Answer:

7x = 42

Step-by-step explanation:

"Product" refers to multiplication and "is" refers to equal to.

Hi! I'm happy to help!

This equation will be written like this

x×7=42

To make this easier to solve, we can use the inverse operation, division.

42÷7=x

42 divided by 7 is 6, so the answer is 6.

I hope this was helpful, keep learning! :D

A group of 13 friends all want to ride a roller coaster. The coaster seats 15 in a single file row from front to back. How many ways can they arrange themselves?

Answers

Answer:

Step-by-step explanation:

is 10 X -3+ 2X -5 and four (3X -2) equivalent?

Answers

Answer:

Yes, both equations are equivalent

Step-by-step explanation:

Simplifying [tex]10x - 3 + 2x - 5[/tex] by combining "like terms" gives us [tex]12x-8[/tex].

Now, to solve "four (3X - 2)", we need to use the distributive property. Doing [tex](4\cdot3x)-(4\cdot2)[/tex] gives us [tex]12x-8[/tex] again.

Therefore, [tex]10x - 3 + 2x - 5[/tex] and four (3X -2) are equivalent!

(Hope this helped you! If any part of the explanation doesn't make sense, or the answer is incorrect/not the answer you we're looking for, then please tell me and I will try to fix my answer as soon as possible)

Which of the following equations is the translation 2 units down of the graph of y = Ixl?
y= - 21
y = 1x + 21
y = Ixl - 2
y = x + 2

Answers

Answer:

Answer:

The answer is: y = |x| - 2

I need help !!!PLEASE

Answers

Answer:

answer

volume= 252 yd^3 .

a ceartain trigangle has to 45 degree angles . what type of triangle is it

Answers

An isosceles right triangles

Answer:

Either a 45°-45°-90° triangle or an isosceles right triangle depending on the question

Step-by-step explanation:

A triangle that has two 45° angles always has a third angle of 90° making it a 45-45-90 as well as a right triangle.

(I'm so confused please help)
Suppose M is the midpoint of XY. If XM = 2x + 11 and MY = 5x - 16, find the value of X.
A) x = -4
B) x = 4
C) x = -9
D) x = 9
E) x = 2

My math:
2x + 11 = 5x + 16
(-5x and -11 from both sides)
-3x=5
(divide -3 on each side)
x=-5/3
But it isn't an option, so I don't know.

Answers

Answer:

D

Step-by-step explanation:

Instead of 2x + 11 = 5x + 16, you should have put 2x+11 = 5x - 16. There is a sign change right before the 16, and you may have accidentally written down +16 instead of -16. I think that's where the problem is.

2x + 11 = 5x - 16

subtract 5x from both sides to make all variables on one side

-3x + 11 = -16

subtract 11 from both sides to isolate the x and its coefficient

-3x = -27

divide both sides by -3 to isolate x

x = 9

which of the following represents…

Answers

The correct answer is the first option

Algebra 1 need help ASAP

Answers

Answer:

It's A

Step-by-step explanation:

The money earned is 160 in 7 hours

The money earned is 100 in 3 hours

The slope = change in money / change in time

The slope = (160 - 100 ) / (7 - 3) = 60/4 = 15 dollars / hour

The slope means that for every hour he earns 15 dollars.

I need help, can someone help me. please

Answers

Answer:

y = - 1/3x

Step-by-step explanation:

So the equation of a line can be written in the form y= mx+ c

Here y is the value of y in the y axis, x is the value of x in the x axis, m is the gradient ad c is the co-efficient.

We need to find the gradient of the line which is - 1/3.

That makes our equation y = - 1/3x

HOPE THIS HELPED

1. The product of two consecutive numbers is 42. What are the numbers?

Answers

Answer:

6, 7

Step-by-step explanation:

6 x 7 = 42

6 and 7 are consecutive
6*7=42

find the HCF of the following numbers by listing the set of factors class six the question is 60 and 90​

Answers

Answer:

30

Step-by-step explanation:

Evaluate the expression when a=-7 and x=6 .
X-2a

Answers

Answer:

=X-2a

= 6- 2× (-7)

= 6 + 14

= 20

✌✌✌✌

4. If triangle ABC has the following measurements, find the measure of side c:
a = 5
B = 7
C = 42 degrees

Answers

9514 1404 393

Answer:

  c ≈ 4.69

Step-by-step explanation:

The Law of Cosines is used for the purpose. It tells you ...

  c² = a² +b² -2ab·cos(C)

  c² = 5² +7² -2·5·7·cos(42°) ≈ 21.9799

  c ≈ √21.9799 ≈ 4.688

The measure of side c is about 4.69 units.

a rectangular rug is 1.8m long 0.7 wide, all measurement are given to 1 decimal place

(They have been tranucated and not rounded)

A) state the minimum possible length of the rug

B) calculate the maximum possible area of the rug

Answers

Answer:

Explanation:

A. The minimum possible length of the rug is 1.

B. The maximum area of the rug is 2m^2

2. What is the sum of iº + kº?

Answers

320° it’s because a full circle is 360° so take away 40° from that and you get the sum of both i°+k°

Is the quotient of a rational number and
an irrational number always irrational?
Explain.

HELP ASAP

Answers

Is the quotient of a rational number and an irrational number always irrational?

Answer = No,It can be either rational or irrational.

________________________________

Prroof —

4 ÷ √8 = √2 { Which is an irrational number }

________________________________

Now, Here comes a twist,

We know that — 0 is a rational number.

And, 0 ÷ √56666 = 0 ________________________________

Note—

But, √56666 ÷ 0 = Error ( Lol )

________________________________

HELP PLS. Team A built 8 sandcastles in 2 hours and Team B built 5 sandcastles in 1 hour. Which team worked at a faster rate?​

Answers

TeamB; team A has built 8 castles in 2 hours, so find the unit rate which is 8/2 which is 4, so team A has built 4 sandcastles in an hour, while team b has built 5 sandcastles in an hour. So team B has worked at a faster rate. Hope this helps!

Answer:

[tex]team \: a \\ 8 \: in \: number \: with \: in \: 2hours \: \\ so \: in \: 1hour \frac{8}{2} = 4 \\ \\ team \: b \\ 5 \: in \: number \: in \: 1 \: hour \\ so \: b \: is \: fast \\ thank \: you[/tex]

|Large{\frac {x}{x + 3} = \frac {5}{2}}

Answers

Answer:

x=-5

Step-by-step explanation:

[tex]\frac{x}{x+3} =\frac{5}{2} \\5x+15=2x\\5x-2x=-15\\3x=-15\\x=-15/3=-5[/tex]

Other Questions
A line segment has the endpoints T(10, 4) and U(8,4). Find the coordinates of its midpointM.Write the coordinates as decimals or integers.M = SER IMPORTANTE REALIZAR EL MERCADEO O MARKETING? Por qu? please give an answer you know is right- need answer right now!! Father, Betsie, and Corrie were released.True False NEED EXPLANATION TOO! THANKS BESTIESThere are 3 different trains running to London. One trainleaves every 10 minutes, another leaves every 35 minutes,and the last one leaves every 40 minutes. They first leave at5:30am. What Time do they all leave again at the same time? (Giving 100 points)Which statement is true?Atherosclerosis increases the delivery of oxygen to body tissues.Atherosclerosis is characterized by plaque buildup in blood cells.Atherosclerosis slows the delivery of carbon dioxide to wound sites.Atherosclerosis constricts or blocks blood vessels. PLS GUYS ITS FOR 10TH GRADE CHEM The ratio of length and breadth of a rectangular ground is 4:3 and the breadth is 75m. Find the length of the ground. Cheyenne's bi-weekly gross pay is $529.81. She sees that $18.54 was deducted for Medicare tax. What percent of Cheyenne's gross pay has been withheld for Medicare tax? Round to the nearest tenth. (2 points)0.35%2.2%3.5% Which is the simplified form of r^-7 + s^-12 4 7/10 + 6/8 Fractions please help cant solve. used two methods but answer isnt the same as the answer page from the book Question 3 of 10A large number of Germana immigrated to the United States becauseA. they wanted to spread their religious beliefs,B, they were on the losing aide of a revolutionC. their main eropa had been destroyed by disease,D. they wanted to avoid being forced to fight in a warSUBMI h2o how many molecules eleven less than five times a number is twenty four? L xo l g? Tc dng ca l xo which energy does a car travelling 30 m/ph as it slows have:a). chemical energyb). thermal energyc). kinetic energyplease helpp Please help with questions 11-13! Ill give brainliest Solve this inequality:-12a +7 Easy as Pie How do the events of the story change the narrator? A. He decides he will never again allow his mom to interfere with his plans to be a professional baseball player.B. He recognizes that his mom will never support him orunderstand him, and he tries to accept that. C. He changes his perspective and understanding of his mother when he see her work so hard at baking. D. He shows his mom that he is old enough to make his own choices, and she accepts his decision. Answer: C is the correct answer. "He changes his perspective and understanding of his mother when he see her work so hard at baking." I was doing the test, and there was 6 questions, and only one was on Brainly. So I asked this question, and answered it myself. I will be doing the other questions as well :) genesis high grade heat and pressure is steps in what