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

PLZ HELP OMG!! I’ll mark Brainliest to whoever gives correct answer first!!!

Answers

Answer:

Step-by-step explanatioThe chosen topic is not meant for use with this type of problem. Try the examples below.

2

(

x

2

1

)

=

16

,  

(

0

,

4

)

 

8

=

2

(

3

x

+

3

)

2

,  

(

1

,

3

)

x

(

x

+

4

)

=

24

,  

(

2

,

9

)

n:

what is the
507
If the probability that a person will die in the next year is
507/100,000 what is the
probability that the person will not die in the next year?
A. 99493
B. 99%
C. 0.99493
D. 0.99507

Answers

Answer:

C. 0.99493

Step-by-step explanation:

Hope this helps!

The probability that the person will not die in the next year should be considered as the 0.00943.

Calculation of the probability:

Since

the probability that a person will die in the next year is 507/100,000

So, it can be like

[tex]= (100,000 - 507) \div 100,000[/tex]

= 0.99493

hence, The probability that the person will not die in the next year should be considered as the 0.00943.

Learn more about probability here: https://brainly.com/question/16096170

Cada semana de los últimos 3 años Lucía ha hecho 120 km en bicicleta y cada mes 100 km corriendo y 15 km nadando. Debe cambiar la bicicleta cada 20.000 km. ¿Tiene que cambiarla ya?

Answers

Answer:

Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.

Step-by-step explanation:

Para determinar la respuesta tienes que encontrar la cantidad de km que Lucía ha hecho en 3 años multiplicando los 120 km que hace a la semana por la cantidad de semanas que hay en 3 años. Para determinar las semanas, tienes que considerar que en 1 año hay 52 semanas:

Semanas=52*3= 156 semanas

120*156=18,720 km

De acuerdo a esto, la respuesta es que Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.

need this asap!!! will give brainliest and a thanks! :))

Answers

Answer:

The answer is A

Step-by-step explanation:

I am smart

23=-8y-7+2y
Y=???????????

Answers

Answer:

y= -5

Step-by-step explanation:

Answer:

y=-5

Step-by-step explanation:

23=-8y-7+2y

23=-6y-7

23+7=-6y-7+7

30=-6y

To find Y divide both sides by-6.

30/-6=-6y÷-6

-5=y

Can somebody plz answer these 3 questions correct!!! Help
(WILL MARK BRAINLIEST

Answers

it increases 3° each hour

3*2= 6

6° after 2 hours

3*3= 9

9° after 3 hours

3*6= 18

18° after 6 hours

6, 9, then 18. Just add 3 every time because it is asking how much it increases. For the first one you multiply it by 2 (2h) which got 6, for the second you multiply it by 3 (3h), and for the last one you multiply it by 6 (6h) which got 18.

will put brainliest plzzzzzz help 2+2+3+8+6+7+4times2

Answers

Answer:

uh 36

Step-by-step explanation:

did you really need this answer or did u just felt like giving away points

PLEASE HELP !! THANK YOU AND ILL GIVE 10 POINTS PLUS BRAINLIEST !! CORRECT ANSWERS ONLY PLEASE !!

Answers

It is D. 53.

The step by step is in the picture! :)

7. Consider the equation x/3+ 7 = 13.
Part A: Write an equivalent equation using the multiplication property of
equality.
Part B: What properties will you use next to solve the equations?

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i know it

Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of
his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be
represented by the equation below, where s represents his total sales, in dollars, for
the week.
$300 + $0.07s = $426
How many dollars worth of merchandise did Mr. Randall sell last week?

Answers

Answer:

-3

Step-by-step explanation:

Based on his weekly salary and commission, we can calculate that Mr. Randall sold goods worth $1,800.

In the formula given, sales is represented as s. To find the total sales, you can solve the equation:

300 + 0.07s = 426

0.07s = 426 - 300

s = 126 / 0.07

= $1,800

In conclusion, Mr. Randall sold $1,800 worth of goods.

Find out more at https://brainly.com/question/19297414.

Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x?

A. Subtract 1 from both sides to combine like terms
B. Add 4x to both sides to isolate the variable
C. Distribute the 6 to eliminate the parentheses
D. Combine 4x and -5 to simplify the problem

Answers

Answer:

C.

Step-by-step explanation:

c is the only one that even makes sense

C. Distribute 6 to eliminate the parentheses.

What are some rules to solve an equation ?

To solve an equation we follow BODMAS rule which stands for first solving which are inside brackets then we divide terms to each other if division is given.Then we multiply terms if multiplication is given.Next step we add terms if given.In last we do subtraction if it is in the given expression.If any of these operations are not given we just skip and do the next operation according to the BODMAS rule.

According to the given question

Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5.

6( 2x + 1 ) - 3 = 4x - 5

12x + 6 - 3 = 4x - 5

12x + 3 = 4x - 5

12x - 4x = - 5 - 3

8x = - 8

 x = -8/8

 x = -1

Learn more about BODMAS rule here :

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When the machine is active for 7 hours, 2,450 buttons are manufactured. How many hours would the machine need to be active in order to manufacture 5,250 buttons?

Answers

Answer:

350 x 15 = 5250, or in Other words it takes 15 hours to for 5250 buttons to be manufactured.

Step-by-step explanation:

3. A student wrote a book which she plans to sell online for $13 per copy. Her total expenses were $85. Which function can be used to find the profit in dollars, d, when the student sells C, copies of the book?​

Answers

Answer:

Her profit in dollars is;

d = 13c - 85

Step-by-step explanation:

Mathematically,

profit = sales - cost price

She sells at $13 per copy

so for c copies, total sales amount will be 13 * c= $13c

So the profit d in dollars will be;

d = 13c - 85

Which of the following inequalities is graphed on the coordinate plane?
A:y ≥ -2x + 1
b:y≥ -2x+1
c:y ≤ -2x + 1
d: y≤ -2x + 1​

Answers

Answer:

a

Step-by-step explanation:

Write a fraction, a decimal and a percent for: one-sixth

Answers

Answer:

fraction:1/6  decimal:0.166666 repeated    percent:16.6 repeated

Step-by-step explanation:

Answer:

1/6,0.16,16.60

Step-by-step explanation: please mark me brainlist

answer quickly plzzz ​

Answers

Angle 1 measures to be 16

Cuál es la expresión equivalente a (x + 3)

Answers

Answer:

correspond with the domain.

Domain:  

(

,

)

,

{

x

|

x

R

}

 

Range:  

(

,

)

,

{

y

|

y

R

}

Step-by-step explanation:

Segment AB is the diameter of circle M. The coordinates of A are (-3, 8). The coordinates of M are (1,6). What are the coordinates of B?

1)(-7,10)
2)(5,4)
3)(-1,7)
4)(-2,1)

explanation/work needed :(

Answers

Answer:

b

Step-by-step explanation:

Jasmine gets paid to do chores around her house. She earns $3.00 every 20 minutes that she cleans the gutters. She earns $3.60 every 20 minutes that she mows the lawn. It took her 40 minutes to clean the gutters and 2 hours to mow the lawn. How much money did Jasmine earn?

Answers

Answer:

$24

Step-by-step explanation:

Step one:

given data

we are told that she earned $3 every 20minute for gutter cleanup

and for mow, she earns $3.6 every 20 minutes.

Step two;

1. For a 40 minutes gutter cleanup she will make

=3*40/20

=3*2

=$6

1. For a 2 hours mow she will make

2 hours is 120 minutes

=3.6*120/20

=3*6

=$18

So in total she earned 6+18= $24

Two parallel lines are crossed by a traversal. What is the value of h?
h=60
h=80
h=100
h=120

Answers

Answer:

h=60

Step-by-step explanation:

The angle that is 120 degrees and the angle that is h degrees are called same side interior angles

Same side interior angles are supplementary, meaning that they add to 180 degrees

To find h we can use Measures addition postulate to find the unknown value h

h+120=180

h=60

Jo's mother, Anne, is four times as old as Jo. In four years time, Anne will be three times as old as Jo. How old is Jo? (this is an easier version of a riddle we'll do in AP CS)

Answers

Answer:

Jo's age = x = 8 years

Step-by-step explanation:

Let

Jo's age = x

Jo's mother, Anne's age = 4x

In four years time, Anne will be three times as old as Jo.

Jo's age =3( x + 4)

Jo's mother, Anne's age = 4x + 4

How old is Jo?

Equate Jo's age and his mother's age

3(x + 4) = 4x + 4

3x + 12 = 4x + 4

3x - 4x = 4 - 12

-x = - 8

Divide both sides by -1

x = 8

Therefore,

Jo's age = x = 8 years

What is 3/4 divided 5/16 in its simplest form?

Answers

Step-by-step explanation:

3/4÷5/16

3/4×16/5

=12/5(2 2/5)

(3/4) divided by (5/16) in its simplest form is 12/5.

To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator.  So, to divide (3/4) by (5/16), you can multiply (3/4) by the reciprocal of (5/16):

(3/4) ÷ (5/16) = (3/4) * (16/5)

Now, multiply the numerators and denominators:

Numerator: 3 * 16 = 48

Denominator: 4 * 5 = 20

3/4) ÷ (5/16) = 48/20

To simplify this fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both by the GCD:

GCD of 48 and 20 is 4.

(48/4) ÷ (20/4) = 12/5.

To know more about simplest form:

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Find the value of x. Then find the measure of each labeled angle

Answers

Answer:

x = 111°

x° = 111°

(x-42)° = 69°

Step-by-step explanation:

Any polygon with *n* number of sides has an interior angle sum of (n-2) × 180°.

Therefore this right trapezoid must have an interior angle sum of 360° because

a trapezoid has 4 sides → n = 4 →

(n-2) × 180° = (4-2) × 180° = 2 × 180° = 360°

Because we are given a 90 degree angle with a set of parallel sides, the angle above that must also be a right angles well so these will total 180°.

The last two angles are given by the two expressions x°, and (x-42)°. Because we know the sum of these angles which are 360° we can create the following equation from these angles and solve!

180° + 2x - 42° = 360°

(Group the constants / numbers without a variable ; associative property of addition)

180° - 42° + 2x = 360°

(Find the total value of the constants)

138° + 2x = 360°

(subtract 138° from both sides to isolate 2x on the left side ; subtraction property of equality)

138° - 138° + 2x = 360° - 138°

(Work out the value of the constants again)

2x = 222°

(divide by 2 on both sides to cancel out the coefficient of 2 in 2x to get x by itself ; division property of equality)

2x / 2 = 222° / 2

(Simplify the two expressions)

x = 111°

_____________________

To find the measure of the x expressions, just substitute x = 111° into the expressions and simplify to find the measure!

So:

x = 111° → x° = 111°

x = 111° → (x-42)° → (111 - 42)° = (69)° →

(x-42)° = 69°

In a survey of 2,000 people who owned a certain type of​ car, 900 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

45%

Step-by-step explanation:

900/2,000 = 45

Select the correct answer.
Which pair of statements correctly compares the two data sets?

А.The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.

B.The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.

C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.

D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.

Answers

Answer: B?

Step-by-step explanation:

Answer:

Go for B

Step-by-step explanation:

Pencils cost 25 cents apiece. Rulers cost 80 cents
apiece. Susan spent $20 for a total of 36 rulers and
pencils. How many pencils did she buy?

Answers

Answer:

She bought 16 pencils

What is the quotient?
-4/5 *2
HELP PLEASE

Answers

Answer:

The answer is 4/25 or 0.16.

Step-by-step explanation:

If the astrick is meant for a square root, then yes that is the answer.

The correct answer is 1.6.

I need help please.
What are the answers at least for the first one. Please help.

Answers

the first box is 1
the second box is 50
the third box is 8
you’re welcome

Answer:

1. 0 weeks

2.$50 in savings

3.8 weeks

4. $90 in savings

Step-by-step explanation:

Which of these expressions shows like terms?

Your answer:

3x +3y


2x +2x^2


2x+3x


2x^2 +3y^2

Please help! Need Now!

Answers

Answer:

C

Step-by-step explanation:

2x+3x Have the same variable. Therefore they both have like terms

9x-4y=17 for y
answer it for me plz

Answers

Answer:

9x-4y=17

-4y=-9x+17

y=9/4x+17

Step-by-step explanation:

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