The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms

Answers

Answer 1

Answer:

Sum of the first 70 terms is 12,775

Step-by-step explanation:

For the 9th term, the formula is;

a + 8d = 50

For the 12th

a + 11d = 65

Subtract this from the equation above;

3d = 15

d = 15/3 = 5

To get a, we have a + 8(5) = 50

a = 10

The 70th term

will be

a + 69d

= 10 + 69(5)

= 355

Sum of the first 70

= n/2(a + L)

= 70/2( 10 + 355)

= 35 * 365 = 12,775


Related Questions

What two numbers multiply to 11.6
Please help

Answers

5.8 x 2 is an answer

-2c+y c=-2 and y=5 ​

Answers

Answer: 9

Step-by-step explanation: All you have to do is plug in the numbers for the variable they give you. :)

Answer:

Step-by-step explanation:

Given c= -2. & y=5

-2c+y=. -2x-2+5=4+5= 9 is the answer

Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch? Group of answer choices 4/7 3/4 1 3/4 1 1/2

Answers

Answer:  1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP  1

Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples

LET x be number of cups of apples to make each batch

7 cups of  apples = 4 Batches

        x cups of apples = 1 Batch

STEP 2  Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches  X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x   = 7 / 4 =  1 3/4

number of cups of apples to make each batch=  1 3/4

Find the greatest common factor of 84 and 36, showing how you got your answer. Then, using complete sentences, explain what your answer means.​

Answers

The greatest common factor of 84 and 36 will be 2 × 2 × 3 that is 12.

What is the greatest common factor?

The term that is common in the given terms.

The terms are given below.

84 and 36

The factor of the 84 will be

84 = 2 × 2 × 3 × 7

The factor of the 36 will be

36 = 2 × 2 × 3 × 3

Then the greatest common factor of 84 and 36 will be 2 × 2 × 3 that is 12.

More about the greatest common factor link is given below.

https://brainly.com/question/282609

#SPJ1

I need help with another one! Thankyou guys this means alot to me

Answers

Answer:

9.5 = y

Step-by-step explanation:

You have to use the cosine function equation.

cos(38) = [tex]\frac{y}{12}[/tex]

Multiply 12 on both sides.

12cos(38) = y

Solve.

9.46 = y

Answer:

9.5

Step-by-step explanation:

y is the adjacent side of the given 38 degree angle. You are given the hypotenuse of right angle triangle. So the trig function that you need to use is the Cosine

Cos(38) = y / 12

multiply both sides by 12

12*cos(38) = 12*y/12

12*cos(38) = y

12*0.7880= y

y =9.456

PLEASE SOMEONE HELP ME I WILL NAME YOU THE BRAINLLEST!
A soccer team is having a car wash. The team spent $64 on supplies. They earned $236, including tips. The team's profit is the amount the team made after paying for supplies. Which expression represents this situation?

Group of answer choices
A. 64 - 236
B. 64 + 236
C. -64 + 236
D. -64 - (-236)

Answers

Answer: The team would have made 172 dollars after the suplies came out.

It would be c.

Step-by-step explanation: You would subtract 64 from 236, and get 172 dollars.

what is the density of 9 cm³ gold cube with 450 g in a mass?​

Answers

Answer:

Answer is 50g/cm^3

Step-by-step explanation:

soln,

Volume of the gold cube = 9 cm^3

Mass of the gold cube = 450 g

now,

density= mass/volume

=450 / 9

=50 g/cm^3

{Therefore, the density of the gold cube is 50 g/cm^3.}

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−3, 3)

(7, 0)

(−1, −6)

(11, 3)

Answers

The answer is (7,0)

I’m pretty sure if people can explain then there is your explanation but I don’t know how to explain CORRECTLY. But the ANSWER IS (7,0)
Answer: (7,0) and (11,3). i don’t know how many is max.

Explanation: 3(7)-4(0)=21
21-0=21 ✅

Explanation: 3(11)-4(3)=21
33-12=21 ✅

Both of these are true!

I need help. Please.

Answers

Answer: yes

Step-by-step explanation:

If you have the dots in different places that are moveing around have the quad’s multiple or divide that means it have there own function.

i need help plzzzzsww​

Answers

it's the third one, slope -1 y intercept 3

PLEASE HELP ASAP PSLLLSLSL look at photo

Answers

Answer:

Last one

Step-by-step explanation:

Negative one times 6r is -6r and then that eliminates two of the four. the rest is common sense tbh.... but it is the last one. Hope this helps

help? brainliest if i can..

Answers

Answer:

C y=2x-6

Step-by-step explanation:

the diffrence in each one is two by using two as slope you get -6 as y intercept.

Answer:

y = 2x - 6 (Third option)

Step-by-step explanation:

(-6, -18), (-1, -8)

m = (-8 - (-18)) / (-1 - (-6))

m = (-8 + 18) / (-1 + 6)

m = 10 / 5

m = 2

-8 = 2(-1) + b

-8 = -2 + b

b = -6

y = 2x - 6

Hope this helps!

Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.

Numbers: 7, 8, 5, 6

You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(​

Answers

7*8-6+5=55

6*5+7+8=45

5*7+8+6=49

I will continue in the comments

me need help. xjjd j dsj​

Answers

i think it is 4.66? 14/3=4.66

Answer:

$4.67

Step-by-step explanation:

John + 2 friends = 3

Total cost = $14

$14/3 = $4.6666

$4.6666 ---> $4.67

Consider Brainliest! Hope I helped!

Calculate the quotient
2/5 divided by 3 4/7
Pls help lol this is due tomorrow

Answers

Answer:

8/105

Step-by-step explanation:

Answer:

the answer is 14/125

Step-by-step explanation: do keep flip switch

2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125

hopefully this helps out

What is the area of a circle with equation (x+2)2+(y-4)2=36?

Answers

Answer:

X+Y=20

Step-by-step explanation:

(x+2)2+(y-4)2=36

2x+4+2y-8=36

2x+2y=36+4

X+Y=20

Final answer

X+Y=20

13. Jennifer has $900 in a savings account at the beginning of the summer. She wants to have at least $250 in the account by the end of November. She withdraws $35 each week for food and shopping. If w represents the number of weeks, which of the following inequalities could be used to solve for the amount of money she may have by the end of summer?

Answers

Answer:

455

Step-by-step explanation:

900-(35×13)=455

use the multiplier method to increase £258 by 43

Answers

Answer:

The new value after an increase

of £258 by 43 will be: 368.94

Step-by-step explanation:

As we have to increase £258 by 43 using the multiplier method.

Let 'n' represent the new value after the increase of £258 by 43 using the multiplier method.

Using the formula

n = 258 + percentage increase

   [tex]=258+\left(43\%\:258\right)[/tex]

   [tex]=258\:+\:43\%\:\times 258[/tex]

Factoring out 258

    [tex]=\left(1\:+\:43\%\right)\:\times \:258[/tex]

as 1 = 100 / 100 = 100%

so

   [tex]=\left(100\%\:+\:43\%\right)\:\times \:258[/tex]

   [tex]=143\%\:\times \:258[/tex]

    [tex]=\frac{143}{100}\times 258[/tex]

    [tex]=\:\frac{143\times 258\:\:}{100}[/tex]

    [tex]=\:\frac{36,894\:\:}{100}[/tex]

    [tex]=368.94[/tex]

Therefore, the new value after an increase

of £258 by 43 will be: 368.94

What is: X+2-3= When X=1

Answers

Answer:

0

Step-by-step explanation:

1+2 =3 3-3=0

Answer:

0

Step-by-step explanation:

If X=1, substitute that value into the equation. x(1) + 2 - 3 = 1 + 2 - 3 = 3 - 3 = 0

Hope this helped! If it did, please mark me as brainliest! :) Thanks!

please help im confused

Answers

Answer:

B) t = l / pr

Step-by-step explanation:

l = prt

l / pt = t

Change from multiplication to division

=== Thanks ===

A is what percent of B?
A = 2 qt, B = 2 gal

Answers

Step-by-step explanation:

4qt=1gal

8qt=2gal

percent of b=a

x%times b=a

x%=a/b

x%=2/8

x%=1/4=25%

answer" 25%.

Noah pays $7.65 for a cappuccino on days he's running late to work. One week, he was late on Monday, Wednesday, and Friday. How much did he spend (in $) on cappuccinos that week? $

Answers

Answer:

Amount Noah spent on cappuccino for that week = $22.95

Step-by-step explanation:

Noah pays $7.65 for a cappuccino on days he's running late to work

Cost of cappuccino per day = $7.65

One week, he was late on Monday, Wednesday, and Friday.

That is 3 days in a week

How much did he spend (in $) on cappuccinos that week? $

Amount Noah spent on cappuccino = cost of cappuccino per day × 3 days

= $7.65 × 3

= $22.95

Amount spent on cappuccino for that week = $22.95

which is greater? 2/3 or 3/4?​

Answers

Answer:

3/4

Step-by-step explanation:

When finding common denominators the answer would be 3/4.

Answer:

2/3 is not greater than 3/4

Step-by-step explanation:

Umm I kinda need help pls

Answers

Answer:

what help would i do

Step-by-step explanation:

help me please due in 2 minutes ​

Answers

7:4 is the constant and is your answer
7:4 I think I’m not sure.

Help me please as soon as possible

Answers

90+31= 121
3x-1+121=120
3x+120=180
-120
3x=60
Divide by 3 on both sides
X=20
X=15


90+31+3x-1=180
121+3x-1=180
120+3x=180
3x=60
X=15

please someone help me please??!!​

Answers

Answer:

4

Step-by-step explanation:

it's just another way of saying find the slope

Answer:

the answer is 4:10

Step-by-step explanation:

Factor -4 out of -8d + 20.
The factored expression is

Answers

2d-5 divide all numbers by -4

A trapezoid. Sides R U and S T are parallel.

Examine the trapezoid. Which sides are parallel?

sides RU and ST

sides RS and ST

sides ST and UT

sides RS and UT

Answers

Answer:

Sides RU and ST

Step-by-step explanation:

Just did the quiz

6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?

Answers

Answer:

-8

Step-by-step explanation:

12<-3 (x + 4)

1. distribute to the -3 to the x and 4 and should get

-3*x = -3x

-3*4 = -12

12< -3x - 12

2. now you get rid of the common factors which is -12 so add 12 to both sides and should get

-12+12=0

12+12=24

24< -3x

3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get

-3x/-3= x

24/-3= -8

-8<x

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