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

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

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

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.

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:

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

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:

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

((-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

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

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:

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

Answers

Right
Acute
Obtuse
Obtuse

Answer:

<A obtuse

<B acute

<C obtuse

<D right

Step-by-step explanation:

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.

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

Answers

Answer: 1/2(x+12)

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:

what is the domain?​

Answers

Answer:

[-5,5]

Step-by-step explanation:

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 :>

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:

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

Use the picture below please!!

Answers

Answer:

AB and BC are Skew

AE and BF are Parallel

Step-by-step explanation:

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:

Find X
9yd
12yd
x= yd

Answers

Answer:

x= 108

Step-by-step explanation:

9 multiplied by 12 is 108

Hope this helps!!

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

Answers

0.91666666666 hope this helps

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

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

Which of the following is considered an asset?

Answers

Answer:

b car lone

Step-by-step explanation:

hope it helps

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

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

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
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