the first term of an AP is 2,and the last term is 59.if the sum of the first terms is 610,Find the common difference​

Answers

Answer 1

Answer:

d = 3

Step-by-step explanation:

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( a + l)

where a is the first term and l the last term

Here a = 2, l = 59 and sum = 610 , then

[tex]\frac{n}{2}[/tex] (2 + 59) = 610

[tex]\frac{n}{2}[/tex] × 61 = 610 ( divide both sides by 61 )

[tex]\frac{n}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )

n = 20

Then the sequence has 20 terms with a₂₀ = 59

The nth term of an AP is

[tex]a_{n}[/tex] = a + (n - 1)d

where d is the common difference , then

2 + 19d = 59 ( subtract 2 from both sides )

19d = 57 ( divide both sides by 19 )

d = 3


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f() = 379-2 and g(x) = 2x* 4. find (f- )(x).
A*2
C 3 - 2x - 6
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Answers

82 jfksic Andesjfnwe

What is the sum of 2 of the interior angles of a regular pentagon?

Answers

The sum of the two interior angles of the regular pentagon will be 540°

What is a polygon?

A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.

We can also calculate the sum of the interior angles of the pentagon in the following way:

We know that the sum of the interior angles of a polygon of n sides

Sum = (n – 2) × 180°.

Sum = 3× 180°= 540°.

Hence, the sum of the interior angles of a pentagon is 540°.

To know more about polygons follow

https://brainly.com/question/11943627

#SPJ2

What is the estimated total of 674, 692, 724, and 739?

Answers

Answer:

2800 is a good estimate

Step-by-step explanation:

Rounding to the nearest hundred

674 = 700

692 = 700

724 = 700

739 = 700

700+700+700+700 = 2800

I need help with these. I have no idea how to find the answer for them. My teacher told me the first one was 136 but she didn’t explain how to find the answer or anything. Can someone please explain how you get the answers step by step & not just give them to me. Thank!

Answers

Answer:

136

55

53

70

Step-by-step explanation:

1) here x and 136 are alternate interior angles and they are equal

2) here x and 125 lie on the same straight line

so x  + 125 = 180

x = 55

3) here 53 and x are corresponding angles and they are equal

x = 53

4) for this see picture below

side angle to 110 becomes x because of corresponding angles

and as this x and 110 lie on same line

x + 110 = 180

x = 70

Answer:

A) If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line. And when 2 lines crosses, the opposite angles are the same.

B) x is 180° - 125° = 55°

C) x is 53° (If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line.)

D) x is 180° - 110° = 70°

PLEASE HELP!
Please give me the correct answers! No links, please! If you do not know the answer please don't put anything down, Thank you!!!

Answers

Answer:

All of the above

Step-by-step explanation:

Answer:

All of the above

Step-by-step explanation:

Rational numbers that can be expressed as the fraction

It is a integer

a repeating non-terminating decimal

terminating decimal

-275[tex]\frac{1}{2}[/tex] --- this is a integer fraction -- rational

0 -- this is a whole number -- rational

56 --- natural number -- rational

34243.84 -- terminating decimal -- rational

-88/3 -- integer fraction -- rational

therefore all of the above are rational numbers

Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work correct?

Answers

Answer:

Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.

[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]

The density of silver is 9 g/ cm3ale members of a sports club is 7 : 3. The total number of members of the group is 250. How many members are female? How many members are male?

Answers

Answer:

648

Step-by-step explanation:

2=2

Help me please (NO WRONG ANSWERS!) Pictures below

Answers

There’s no picture mate

The ________ sum of squares measures the variability of the group means around the overall mean. Group of answer choices between within interaction total

Answers

Fourth Divided and I have a meeting with my friend 26 on Friday divided by 33 times by + 4

Answer: 95

2 The salary of 157 employees in an office for a month is 710, 582, what is the annual salary of 1 employee, assuming all are paid equally​

Answers

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

Which division problem is modeled

Answers

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

A former Olympic platform diver had a kinetic energy of 12,300 J prior to hitting the surface. If the divers speed is 17 m/s, what is their mass?

Answers

Answer:

Step-by-step explanation:

What is the area of this figure?

Answers

Given :-

A figure is given to us .

To Find :-

The area of the figure .

Solution :-

As we can see that the given figure is made up of a parallelogram and a ∆ . As we know that the opposite sides of a parallelogram are equal . So that the base of the ∆ would be 9cm . Now ,

[tex]\longrightarrow[/tex] Area = ar(||gm ) + ar(∆)

[tex]\longrightarrow[/tex] Area = (9*5 + 1/2*8*9)cm²

[tex]\longrightarrow[/tex] Area =( 45 + 45 ) cm²

[tex]\longrightarrow[/tex] Area = 90cm²

Hence the area of the given figure is 90cm² .

HELP ASAP 100 POINTS RIGHT ANSWER GETS BRAINLSIT

Solve for x.

14(x−12)=−235

Enter your answer as a mixed number in simplest form by filling in the boxes.
x =

Answers

X=-67/14 or x=-4 11/14

Answer:

Hell your answer for x is 4 11/14 ( that is what i got)

Step-by-step explanation: K12

it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour

Answers

Answer:

Step-by-step explanation:

Clays rate is 1/2 hour per lawn.  We can write this as Rate = 3/2 hr/lawn.

If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:

(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.

1\4-2\7 plese show your work

Answers

Answer:

-1/28

Step-by-step explanation:

You need to convert 2/7  and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28

Answer:

-1/28

Step-by-step explanation:

You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.


Geometry work pls help ASAP

Answers

Answer:

3321

Step-by-step explanation:

two tanker contains 700 L + 750 mL of milk respective find the maximum capacity of a container which the musical each container exact number of time ​

Answers

Answer:

350L 375ML

Step-by-step explanation:

what fraction is this shape is shaded

Answers

5/10, which simplifies to 1/2. So the answer is 1/2! :)

Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?

Answers

Answer:

well like this 3/8

Step-by-step explanation:

3/8 and rest is 5/8 in fraction form

I will give 20 points

Answers

Answer:

This is like quadratic equation you just say y=1x+-2 and then you get the answer

someone pls help it’s due today :(

Answers

180 - 28 - 14 = 138

so 12x - 18 = 138

x = 13

How to solve for x: 2x-9=5

Answers

Answer:

5=2x-9

14=2x

x=7

Hope This Helps!!!

pleaseeeeeeeeee helppppppppp meeeeeeeeeee

Answers

Answers:

FunctionNot a functionFunctionNot a function

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

Explanation:

If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).

Relations 1 and 3 don't have this issue, so they are functions.

 Find the perimeter. Simplify the answer

Answers

[tex]3s - 1 + 7s - 1 + 10s - 8 + 10s - 8 \\ 10s - 2 + 20s - 16 \\ = 30s - 18[/tex]

Add the sides and then combine like terms and solve it the answer should be 30s-18

If Don drives 60 miles per hour, can he make it to the beach (200 miles away) in 3 1/2 hours?

Answers

Answer:

Yes

Step-by-step explanation:

If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:

60 * 3.5 = 210 miles

Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.

How can you write and evaluate numbers with exponents?

Answers

Answer:

an exponent is the small number written above and to the right of a number

on a keyboard it is written like (^) that

ex. If you were saying 2 to the power of 2, you would write it as 2^2

when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself

Step-by-step explanation:

Emma has addressed seven invitations to her
birthday party. This is one more than half of the
invitations that she intends to send. How many
invitations does she intend to send?

Answers

Answer:

12

Step-by-step explanation:

This can be solved by working backwards.

7 is one more than half the number of invitations.

Subtract 1.  6 is half the number of invitations.

Double.

12 is the full number of invitations.

Algebra (if you must!):

x = number of invitations

x/2 + 1 = 7

Subtract 1.

x/2 = 6

Multiply by 2.

x = 12

Answer:

12

Step-by-step explanation:

7-1=6

6x2=12

solve pls brainliest

Answers

Answer:

1 = A  3 = b  4 = c

Step-by-step explanation:

I folded, trust me

Answer:

1 =a 2=d 3=b 4=c

Step-by-step explanation:

A hardware store owner placed an advertisement for Sylvania LED bulbs in the local newspaper. Sylvania provided the storeowner with several high-quality, camera-ready sample advertisements. In addition to supplying the advertising formats, Sylvania also paid 50 percent of the cost to place the ad in the paper. Sylvania was using ________ to promote its products. manufacturer incentive advertising strategic channel partnership reseller consumer promotion retail publicity cooperative advertising

Answers

Answer: Cooperative advertising

Step-by-step explanation:

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