Mathematics High School

The first and thirteenth terms of an arithmetic sequence are 7/9 and 4/5, respectively. What is the seventh term?

Answers

Answer 1

Here,

Let the first term be denoted by a and commom difference by b.

Now,

T1 = a

= 7/9

T13 = a + 12 d

or, 4/5 = 7/9 + 12d

or 12d = 4/5 -7/9

or, 12d = 1/45

or, d = 1/410.

then,

T7= a + 6d

= 7/9 + 1/410

= 2879/2870

Please check the answer and tell me whether it is correct or not.

Related Questions

Preform the following operations with fractions.
-11/5+4/6

Answers

(-11/5)(6/6) + (4/6) (5/5)
-66/30 + 20/30
-46/30
23/15

7(n+4)=21 what is n?

Answers

Answer:

-1

Step-by-step explanation:

divide both sides by 7 and you will get (n+4)=3

then subtract 4 on both sides and get n is equal to -1

Answer:

-1

Step-by-step explanation:

Divide. Write the quotient in lowest terms.
2 3/4 divided by 3

Answers

0.91666666666 hope this helps

True or false: The domain and range always have the same number of unique values.

Pls help! I only have 3 min left!

Answers

I believed it’s True

the area of a square garage is 121 square feet. will it fit a car that measures 13 feet long? explain​

Answers

Answer:

It won't because the area is length times height. So 11 x 11. So some of the car will be hanging out of the garage.

Step-by-step explanation:

The measure of angle 1 is (3x + 10)° In the measure of angle 4 is (4x - 15)°
What is the measure of angle 7?​

Answers

∠1 = ∠4 ( vertically opposite angles )

Then :-

[tex]3x + 10 = 4x - 15[/tex]

[tex]10 = 4x - 15 - 3x[/tex]

[tex]10 = 1x - 15[/tex]

[tex]1x - 15 = 10[/tex]

[tex]1x = 10 + 15[/tex]

[tex]1x = 25[/tex]

Which means :-

∠1 =

= 3x + 10

= 3 × 25 + 10

= 75 + 10

= 85°

∠4 =

= 4x - 15

= 4 × 25 - 15

= 100 - 15

= 85°

Then :-

∠7 = ∠6

∠6 + ∠4 = 180° ( interior angles on the same side of transversal )

∠6 + 85 = 180°

∠6 = 180 - 85

∠6 = 95°

As ;

∠6 = ∠7

∠7 = 95°

Therefore , angle 7 = 95° .

Answer:

95

Step-by-step explanation:

Are the following ratios equivalent? Explain.
2:10
6:60

Answers

Answer:

No

Step-by-step explanation:

it would 12:60

6x2=12

6x10=60

Answer:

they are not equivalent

Step-by-step explanation:

7 : 35

12 : 60

17 : 85

22 : 110

hear are ratios that are equivalent to 2:10

Use the picture below please!!

Answers

Answer:

AB and BC are Skew

AE and BF are Parallel

Step-by-step explanation:

Write in simplest form. 12/15 Divided by 4/9

Answers

Answer:

9/5

Step-by-step explanation:

12/15 / 4/9

12/15 * 9/4

108/60

54/30

27/15

9/5

what is the domain?​

Answers

Answer:

[-5,5]

Step-by-step explanation:

Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct? Ivan only Polina only both Ivan and Polina neither Ivan or Polina

Answers

Answer:

Both are correct

Step-by-step explanation:

To check the validity of their statements, we shall be using direct examples

For Ivan , we can have an example of his assertion as follows;

-1/2 * -1/3 = 1/6

For Polina, we can have

-1/2 * -1/3 * -1/4 = -1/24

We can see from the above that both of them got their opinions correctly as there are no exceptions to the above

Answer:

both Ivan and Polina

Step-by-step explanation:

Help!!!!!!!!! Quick!!!!!

Answers

Right
Acute
Obtuse
Obtuse

Answer:

<A obtuse

<B acute

<C obtuse

<D right

Step-by-step explanation:

Given the equation 9x - 3y = 27 in standard form. Show how you would convert the equation into slope-intercept form → y = mx + b.

Answers

Answer:

y=3x-9

Step-by-step explanation:

pic below................

Answers

Answer:

1st step - parenthesis 3-9= -6, so the equation is now 2+ (-6) / -3 *4

2nd step - division- -6/-3 = 2 , so the equation is now 2 + 2 * 4

3rd step - multiplication - 2*4  = 8  so the equation is now 2+8

4th step addition- 2 + 8 = 10

Final answer 10

Step-by-step explanation:

Find X
9yd
12yd
x= yd

Answers

Answer:

x= 108

Step-by-step explanation:

9 multiplied by 12 is 108

Hope this helps!!

2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.

Answers

Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?

Answers

The change in height every year is 0.2cm aka 2 millimeters.

1cm/5years = 0.2cm/1yr

the equation for the graph

Answers

Y=mx+b

Hope this helps, brainliest pls!

What is the slope of line p

Answers

U have to show us what line p looks like

Turn this into numerical form -> one-half the sum of x and 12

Answers

Answer: 1/2(x+12)

Step-by-step explanation:

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

good luck on your assignment

is 0.523 a rational number?​

Answers

Answer:

no

Step-by-step explanation:

Answer:

yes, it doesn't go on infinitely it stops at thousandths

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 3.

Step-by-step explanation:

We need to tell the incorrect step in the given problem for the product of        (–2.5)(–8.3)

Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2:

We can write -2.5 = -(2+0.5)

(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)

= 16.6 + 4.15

Step 3.

= 20.75

He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.

Answer:

it is step 3

Step-by-step explanation: i just took the test mark me brainliest lol :>

((-4)+(-5)+-1))/3 The / signs is division

Answers

Answer:-1 and 1/3

Step-by-step explanation:-4+-5=-9 -9+-1=-10 -10/3=-1 1/3

If you borrow $800 for 8 years at an annual rate of 11% how much will you pay altogether?

Answers

Answer:

$1,843.63

Step-by-step explanation:

[tex](1+0.11)^{8}[/tex] · 800 = $1,843.63

This is the answer 1,843.63

A standard paper clip is 1
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?

Answers

Answer

75 inches

Explonation

To find the answer, you should multiply 1 by 75

Dewey rides his bicycle 5 miles in 3/4 of an hour. At this rate, how many miles can he ride his bicycle in 6 hours?

Answers

Answer:

18/16

Step-by-step explanation:

Answer: ez, 40 miles.

Step-by-step explanation:

Which of the following is considered an asset?

Answers

Answer:

b car lone

Step-by-step explanation:

hope it helps

f(x)=3x-1 Find f(-8)

Answers

Answer: y=-25

Step-by-step explanation:

Plug in -8 for x

3(-8)-1

-24-1

-25

Answer:

x= -25

Step-by-step explanation:

-8(3)-1=

-24-1=

-25

A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how many ounces of cheese should he use

Answers

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

Other Questions
Which sentences have the infinitives correctly underlined? Check all that apply.Weve always wanted to jump from a plane.Selling the car to pay for our daughters education is our only option.She wanted to buy the dress and give it to me tonight.Although the issue was presented to the board, members have not yet voted on it.The players on the soccer team wanted to win. PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTSy = 5x2 + 10x + 12.Part A: Show your work to complete the square of the function. (1 point)Part B: Identify the vertex of the function. (1 point)Part C: Explain how to determine the maximum or minimum value of the function. (2 points) The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relativechange in this situation. Round your answer to the nearest hundredth.Absolute change=Relative change= I need to find what the square root is to 19,478,730. my teacher literally put that. help Who was free in northern Carolina?A. everyoneB. only the poorC. only the rich QuestionA line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shownbelow.The slope is A black and white photo of a Depression-era woman and her children.Which of the following is not true about the photograph above?a.The picture is of a migrant mother and her children.b.The purpose of the photograph was to show and preserve the true mood and circumstances of the Great Depression.c.The photograph, along with others like it, were taken by Dorothea Lange.d.This photograph is particularly famous because it was one of the first times a woman had been photographed in a naturalistic setting, for public viewing.Please select the best answer from the choices providedABCD EDG 2020 HELP During the colonial era, a long growing season and rich soil had a great effect on the economy ofA-the New England colonies.B-the middle colonies.C-the southern colonies.D-all thirteen American colonies (01.04 MC)What is the slope of the line which passes through (2,5) and (3, 6)? (5 points) Elena goes for a long walk. This graph shows her time and distance traveled throughout the walk.What was her fastest speed, in miles per hour?Do not include units (miles per hour) in your answer. What other factors might impact how effective a social network can be? Which table represents a linear function? which of the following oral dosage forms dissolves directly into the bloodstream without passing through the digestive tract?Enteric-coated tabletsElfenescent tablesSublingual tabletsDisintegrating tablets A large section of which region is protected for a national park because of its diverse environments, including highlands, rain forests, woodlands, and coasts?A: Puget LowlandsB: Cascade MountainsC: Olympic MountainsD: Willapa Hills Solve for a in the proportion. Solve for h in the mathematical formula A = 1/2 (a+b)h. Le futur proche worksheet What were 2 goals Gandhis had Given h(x) = 5x + 3. what is the value of h(-11) What defense mechanism helps to resist the invasion of infectious agents once they enter the body but when weakened increases the risk of infection