Mathematics High School

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

the ratio of 62 miles to 100 kilometers

Answers

9514 1404 393

Answer:

  0.99779328

Step-by-step explanation:

The exact conversion factor is ...

  1 mi = 1.609344

Then 62 miles is 62×1.609344 km = 99.779328 km.

The ratio of this to 100 km is ...

  99.779328/100 = 0.99779328 . . . . ratio of 62 miles to 100 km

The graph of a linear relation passes through the point (-2,7) and has a slope of 1/6.
Determine an equation for this linear relation in slope intercept form.

Answers

Answer:

Step-by-step explanation:

eq. of any line withslope 1/6 is

y=1/6x+c

∵ it passes through (-2,7)

so 7=1/6(-2)+c

c=7+1/3=22/3

eq. of line is

y=1/6x+22/3

Answer:

y = 1/6x + 7 1/3

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept

y = 1/6x+b

Substitute the point into the equation

7 = 1/6(-2)+b

7 = -1/3+b

Add 1/3 to each side

7 1/3 = b

y = 1/6x + 7 1/3

The interquartile range is determined by the formula _________.
A. Third quartile - First quartile
B. Third quartile + first quartile
C. First quartile - third quartile
D. Maximum - minimum

Answers

Answer:

A)

Step-by-step explanation:

The inter quartile range is determined by the formula Third quartile -  first quartile.

In a set, an inter quartile range is a measure of where the bulk of the data's lie

Select the correct answer.


Look at ΔABC. Which triangle is congruent to ΔABC by the ASA criterion?

Answers

Your answer to this equation is A

Z varies directly as x/y² and y varies inversely as x,if z=⅓ when x =2 and y=¼. Express (a). Y interms of x and (b). Z interms of x

Answers

Bhjhbjhjhbkhtdttf3345

Answer:

Baba

Step-by-step explanation:

Booey

What is the area? please help

Answers

Answer:

70.875 [tex]km^{2}[/tex]

Step-by-step explanation:

Using the equation of area of trapezium

[tex]\frac{1}{2} * (a+b)h[/tex]

Put the value into the equation

[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]

Simplify the equation and you will get:

[tex]2.4*13.5=70.875 km^{2}[/tex]

So, the answer is 70.875km^2

Which expression is equivalent to x^6 – 5

Answers

Answer:

Amdjss

Step-by-step explanation:

About how many cells are in the human body?

You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.

Answers

Answer:

In other words: The human body consists of some 37.2 trillion cells.

Step-by-step explanation:

can somebody explain how they got 37.2 trillion cells.!!!

please helpppp

What is the result of rounding 8,888,888 to the nearest ten?

Answers

Answer:

8,888,890

Step-by-step explanation:

yup yup

Evaluate the expression 34 ÷ (14 − 5) × 2.
I'm pretty confused can someone explain it to me? I will give branliest

Answers

Answer:

[tex]7\frac{5}{9}[/tex]

Step-by-step explanation:

Hi there!

We are given this expression:

34÷(14-5)×2

And we want to evaluate it

We'll be using the order of operations

Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

The order of operations states that we should start with any expressions in parentheses

In this case, it's (14-5), which is equal to 9

The expression now becomes

34÷9×2

There are no exponents, so let's skip that

Now this is where it gets tricky:

Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication

Divide 34 by 9

[tex]\frac{34}{9}[/tex]×2

Now multiply [tex]\frac{34}{9}[/tex] by 2

[tex]\frac{68}{9}[/tex]

(as a mixed fraction, it's 7[tex]\frac{5}{9}[/tex])

Hope this helps!

2/3 of a number is 20 less than the original number.find the number

Answers

40 40 50 hersssdxddasd

If mAngleVUW = (4x + 6)° and mAngleWUT = (6x – 10)°, what is the measure of AngleWUT?

Answers

Answer:

2 is the answer........

Answer:

the answer is 38 degrees

Step-by-step explanation:

just took test on ed

Helpp mee plss in this one

Answers

I think it’s ordinary annuity

A quadrilateral ABCD has the area 10 square feet. After a dilation with a scale factor of 3, find the area of quadrilateral A'B'C'D'.

Answers

10 x 3^2

= 10 x 9

= 90

Analyze the diagram below and complete the instructions that follow.
10
6
B.
'C С
8
Find sin ZA
A 3
5
B. 4
C 1

Answers

Answer:4

Step-by-step explanation:just had this

ILL GIVE A BRAINLISTYY HELP PLS

Answers

Answer:

?

Step-by-step explanation:

find the median and mean of the data set below :​

Answers

Median:15 1,11,14,15,31,37,47
Mean:22 (1+11+14+15+31+37+47)/7=22

Answer:

Median = 15

Mean = 22

Step-by-step explanation:

Median = first lets arrange the data type from smallest to biggest and select the middle number as it will be our median

1, 11, 14, 15, 31, 35, 47

the middle number is 15

so 15 will be our median

Mean = [tex]\frac{sum of all numbers }{total numbers\\}[/tex] sum of all numbers divided by the number of values in the set

[tex]\frac{1 + 11 + 14 + 15 + 31 + 35 + 47}{7}[/tex]

= [tex]\frac{154}{7}[/tex]

= 22

so our mean will be 22

-9-13+2+13−9−13+2+13minus, 9, minus, 13, plus, 2, plus, 13.
me lo pueden resolver porfa es para mañana antes de la 12:59

Answers

Answer:

-21

Step-by-step explanation:

comments

express 23/7 in decimal form

Answers

Answer:

3.285714286

Step-by-step explanation:

If ∠AFB and ∠DFE are congruent, what term describes ∠BFE and ∠AFD?

Answers

Answer:

If you add a picture I can help

Step-by-step explanation:

I need to see what the figure looks like

A(-3,3),b(0,1) and c(-1,-4)

Answers

Step-by-step explanation:

domain (-3,0,-1)

range (3,1,4)

No. of She 2. a) The amount of pocket money in Rs) brought by 20 students of class VII on a day are given below. Let's construct a frequency distribution table with tally marks. 30, 40. 25, 35. 40. 40. 30. 25, 20 40. 45. 35. 40. 30. 40, 30, 50. The numbe Draw a sin Classes​

Answers

Answer:

there are 17 pupils in the class

There are 17 students in the class to ur question

Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|

Answers

Answer:

D

Step-by-step explanation:

The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.

A) I -4.5I = 4.5    TRUE

B) I 0I  < I -45I   TRUE  

Reason: 0 < 45

C) I 45 I > 0         TRUE

D) I4.5 I > I - 45 I     FALSE

Reason: 4.5is not greater than 45

Answer:

D

Step-by-step explanation:

I need help ASAP!!Please help me

Answers

Answer:

Below

Step-by-step explanation:

To find the volume of a rectangular prism find the area of a face and multiply it by the height

V = lwh

  = (12)(5)(12)

  = 720 km^3

Hope this helps!

There are 1125 students in a school. If a student pays Rs. 300 as fees and
Rs. 100 as bus charge per month, how much money is collected in a month?

Answers

The school would get 450000 per month

The table shows the steps for solving the given inequality 4-3(x-5)>6x-17

Answers

Step-by-step explanation:

(=) 1 ( x-5 ) > 6x-17

(=) x-5 > 6x -17

(=) -5x > -12

=> x < 12/5


Is a – b a positive number or a negative number? How do you know?
b b
a
1
Please help I will give you Brainlyest

Answers

Answer:

A positive number.

Any negative subtracted from a positive will always be positive.

Answer:

a-b will be and will always be a POSITIVE number.

This is because a is positive, and b is negative.

However, when you subtract a negative number, you are actually just adding it.

So, a - (-b) = a+b.

This is why, it will always be positive.

Let me know if this helps!

Help me please, IXL keeps messing me up

Answers

Answer:

B(-7, -3) C(3, -3) D(3, -1) E(-7, -1)

Step-by-step explanation:

*I am just labeling the points*

B(-7, 5) C(3, 5) D(3, 7) E(-7, 7)

If we were to translate the points 8 units down, we would only need to subtract the y-intercept for every point by 8. (Except don’t include any tenth places)

B(-7, -3) C(3, -3) D(3, -1) E(-7, -1)
••••••••••••••••••••••••••••••••••••
doomdabomb (me): All brainliest
and thanks are appreciated and
would mean a lot to me, thanks!

Harold used 6 centimeters of tape to wrap 3 presents. What is the unit rate?

Answers

Answer:

2cm/present is the unit rate

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Harold used \underline{\underline{6 centimeters of tape}} to wrap}\\\huge\text{\underline{\underline{3 presents}}. \underline{\underline{\underline{What is the unit rate?}}}}[/tex]

[tex]\huge\boxed{\star \ Formula: \mathsf{\dfrac{a}{b}= unit\ rate \ }\star}[/tex]

[tex]\huge\boxed{\mathsf{Equation\boxed{\rightarrow}\ \dfrac{6}{3} = \boxed{unit\ rate}}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{6}{3} = \boxed{\bf unit\ rate}}}\\\\\\\huge\boxed{\mathsf{ 6 \ \boxed{\div} \ 3\ \boxed{= } \ \bf\boxed{\bf unit\ rate}}}\\\\\\\\\huge\boxed{\boxed{=} \bf \ 2}[/tex]

[tex]\huge\boxed{\star\ \textsf{Therefore, the UNIT RATE IS: \bf \boxed{\bf 2}}\ \star}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: the unit rate is \bf \boxed{\underline{\underline{\underline{\underline{\bf 2}}}}}}}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Find the surface area of the composite figure

Answers

Answer:

384 cm^2

Step-by-step explanation:

Start with the prism (I multiply by 2 because some of the surfaces are more of):

4×15×2=1206×15×2=1806×4=24

The Triangular Prism (I divide by 2 because it is a triangle shape on the sides):

3×4/2*2=123×6=186×5=30

The Last Step (adding everything):

120+180+24+12+18+30=384

Other Questions
Which revision would best help the author support the thesis more effectively? How many degrees must the flyswatter pass through before it is horizontal? H20fall, how do I find out how much salt is in my pool? A group of artists comes to distinguish itself from how most people dress and act. Members of the group always wear black. Women wear heavy, pale makeup, and both men and women have multiple piercings. The artists are devoted to discussing and creating art and music about death. What is a term sociologists would most likely use to describe this group define amplitude & period of the particle performing linear S.H.M Describe events that explain the border differences between these maps. Use information from the maps and the lesson in your response. Use complete sentences.Besides land, what did the United States gain from expansion? Use information from the maps and the lesson in your response. Use complete sentences. III. Read the passage, then decide if the statements that follow it are True or False (1pt) Learning a foreign language is, in some ways, like learning how to fly. There are some differences, but there is a very important similarity. It is this: learning how to do these things needs a lot of practice. It is never enough to read a book on how to fly a plane. A book can give you a lot of information about how to fly, but if you only read that book, then try to fly without any practice. The same is true of learning a foreign language. For example, can you speak English well without having lots of practice? Practice makes perfect. is what every learner of a foreign language should know.1. Both learning a foreign language and learning to fly need much practice. _______________2. Information about learning how to fly from books is enough for you to fly. _______________3. Its dangerous to try to fly without any real practice. ___________4. When learning a foreign language, you should know Practice makes perfect _______________ Nh trng mun nh gi t l chm hc ca sinh vin (trong mt tun). Kho st 236 sinh vin th thy c 32 sinh vin chm hc. Hy c lng khong i xng cho t l sinh vin chm hc ca trng vi tin cy 95% The radius of a circle is increasing at the rate of 0.1 cm/sec. At what rate is the areaincreasing at the instance when r=5cm? what is the answer and how do you solve it .please help I want a correct answer you can take your time. If I was born on December 24, two thousand and four and my classmate was born on April 9, two thousand and six, how many months, years and days are we apart? Future continuos tense Sentences, S + Shall/will + be trating totc. help me please...... Rewrite the expression (x2 3x 18)/(x 9) using the long division method. find lub and glb of the following set E={0.2, 0.23, 0.234, 0.2343, 0.23434, 0.234343,.....} What are the characteristics of a surreal painting? why Should certain books be banned from schools and libraries Find the measurement of the angle diagonal indicated in the following parallelogram Inaugural Addressby Nelson Mandela (excerpt)Your Majesties, Your Highnesses, Distinguished Guests, Comrades and Friends:Today, all of us do, by our presence here, and by our celebrations in other parts of our country and the world, confer glory andhope to newborn liberty.Out of the experience of an extraordinary human disaster that lasted too long, must be born a society of which all humanitywill be proud.Our daily deeds as ordinary South Africans must produce an actual South African reality that will reinforce humanity's belief injustice, strengthen its confidence in the nobility of the human soul and sustain all our hopes for a glorious life for all.All this we owe both to ourselves and to the peoples of the world who are so well represented here today.To my compatriots, I have no hesitation in saying that each one of us is as intimately attached to the soil of this beautifulcountry as are the famous jacaranda trees of Pretoria and the mimosa trees of the bushveld.Each time one of us touches the soil of this land, we feel a sense of personal renewal. The national mood changes as theseasons change. We are moved by a sense of joy and exhilaration when the grass turns green and the flowers bloom.That spiritual and physical oneness we all share with this common homeland explains the depth of the pain we all carried inour hearts as we saw our country tear itself apart in a terrible conflict, and as we saw it spurned, outlawed and isolated by thepeoples of the world, precisely because it has become the universal base of the pernicious ideology and practice of racism andracial oppressionWe, the people of South Africa, feel fulfilled that humanity has taken us back into its bosom, that we, who were outlaws not solong ago, have today been given the rare privilege to be host to the nations of the world on our own soil.The time for the healing of the wounds has come. The moment to bridge the chasms that divide us has come. The time tobuild is upon us.We have, at last, achieved our political emancipation. We pledge ourselves to liberate all our people from the continuingbondage of poverty, deprivation, suffering, gender and other discrimination. We succeeded to take our last steps to freedomin conditions of relative peace. We commit ourselves to the construction of a complete, just and lasting peace.We have triumphed in the effort to implant hope in the breasts of the millions of our people. We enter into a covenant that weshall build the society in which all South Africans, both black and white, will be able to walk tall, without any fear in their hearts,assured of their inalienable right to human dignity - a rainbow nation at peace with itself and the world.We dedicate this day to all the heroes and heroines in this country and the rest of the world who sacrificed in many ways andsurrendered their lives so that we could be free. Their dreams have become reality. Freedom is their reward.We understand it still, that there is no easy road to freedom. We know it well that none of us acting alone can achieve success.We must therefore act together as a united people, for national reconciliation, for nation building, for the birth of a new world.Let there be justice for all. Let there be peace for all. Let there be work, bread, water and salt for all. Let each know that foreach the body, the mind and the soul have been freed to fulfill themselves. Never, never and never again shall it be that thisbeautiful land will again experience the oppression of one by another and suffer the indignity of being the skunk of the world.Let freedom reign. The sun shall never set on so glorious a human achievement.God bless Africa!Thank you.(PLEASE HELP ASAP!!!) Help me please I have 29 questions can you please help with the first ones I will give at least 17 points on whoever helps me with the questions.