the sum of 5th and 9th terms of AP is 72 and the sum of 7th and 12th term is 97 find AP

Answers

Answer 1

Answer:

The AP is 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61 ....

Step-by-step explanation:

The nth term = a1 + d(n - 1)

Sum of 5th and 9th terms

= a1 + 4d + a1 + 8d = 72

2a1 + 12d = 72.............(1)

Similarly:

a1 + 6d + a1 + 11d = 97

2a1 + 17d = 97..............(2)

Subtracting equation (1) from equation (2):

5d = 25

d = 5.

and , using equation (1), the first term

a1 = (72 - 12(5)) / 2

= 12/2

= 6.


Related Questions

Question 2 can u tell me if they are true or false?ill give a brainliest!

Answers

Answer:

a. false

b. true

c. true

d. false

e. false

Step-by-step explanation:

6a-2(4a-5)=40
How do I solve it​

Answers

Answer:

Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.

Step-by-step explanation:

1.) Distribute

6−2(4−5)=40

6−8+10=40

2.) Combine like terms

6a-8a+10=40

-2a+10=40

3.) Subtract 10 from both sides of the equation

-2a+10=40

-2a+10-10=40-10

4.) Simplify

subtract the numbers

-2a+10-10=40-10

-2a=40-10

subtract the numbers

-2a=40-10

-2a=30

-2a=30

5.) Divide both sides of the equation by the same term

-2a=30

[tex]\frac{-2a}{-2} =\frac{30}{-2}[/tex]

6.) Simplify

cancel terms that are in both the numerator or denominator

[tex]\frac{-2a}{-2} =\frac{30}{-2}[/tex]

a=[tex]\frac{30}{-2}[/tex]

Divide the numbers

a=[tex]\frac{30}{-2}[/tex]

a=-15

a=-15

7.) Solution

a=-15

-14x+y=7 in slope intercept form

Answers

y = 14x +7

Step-by-step explanation:

-14x+y=7

+14x +14x

y=14x+7

(√2)(^3√2)

2 1/6
2 2/3
2 5/6
2 7/6

Answers

Answer:

c

Step-by-step explanation:

Pleaseee helpppp with thissss!! I will give brainliest if your correct

Answers

Answer:

45 degrees

Step-by-step explanation:

Givens

c = 10

opposite = 5√2

Sin(angle) = opposite / hypotenuse

Solution

sin(angle = 5√2 / 10

Sin(angle) = 0.707

angle = sin-1 (0.707)

angle = 45 degrees (rounded. Use a better value for √2)

Find the missing length.
C=
✓ [?]
2=b
a=6

Answers

Answer:

Step-by-step explanation:

Formula = C = square root a2 + b2

C = square root (6)2 + (2)2

= 10

Fill in the missing term on each line simplified any fractions 13y +5 = 5
13y=

Answers

Answer: y=0 13y=0

Step-by-step explanation:

13y + 5 = 5

- 5 - 5

13y = 5-5

13y = 0

y = 0

Thank you if you help!

Answers

Answer: n= 2(17)

Step-by-step explanation:

I think it’s 2n+17 bc increase is add and twice is multiply and n is “a number”. So 2n+17

Please help ASAP im very confused

Jean bought a $1,980 snow thrower on an installment plan. The installment plan agreement included a 10% down payment and 18 monthly payments of $116 each.
How much is the down payment?



What is the total amount of the monthly payments?



How much did Jean pay for the snow thrower on the installment plan?



What is the total finance charge?

Answers

Answer:

198, 2088, 2286, 306

Step-by-step explanation:

i think those should be right in order of questioning, i got a bit confused by the way it was presented

A plane travels at a constant speed. It takes 6 hours to travel 3360 miles.

A - What is the planes speed in miles per hour?

B - At this rate, how many miles can it travel in 10 hours?​

Answers

Answer:

A-560

B-5600

Step-by-step explanation:

to find the answer for A we need to divide 3360 by 6 which gives us 560.

check: 560 x 6 = 3360

To find the answer for B we need to multiply the answer for A (560) by 10 which gives us 5600

Answer:

A- the question asks the speed and  the speed formula is speed=distance÷time. So 3360÷6=560 mph

B- At this rate means at this constant speed which is 560 mph, how many miles can it travel in 10 hours. We will rearrange the speed formula to find the distance. distance=speed×time. So 560×10=5600 miles.

Step-by-step explanation:

Doña Catalina usó 55 bolsas de estambre para hacer 18 bufandas cuántas bolsas de estambre usó en cada bufanda y cuantas bolsas no uso?

Answers

Step-by-step explanation:

ur ans.....stay happy n safe

Answer:

Doña Catalina usó 3 bolas en cada bufanda y dejó de usar solo 1 bola.

Step-by-step explanation:

please mark me as the brainliest answer and please follow me

Whats the distance between (-9,-4) and (-9,5)

Answers

Answer:

9

Step-by-step explanation:

5+4 is 9

I

Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?

A) 3:2
B) 3-2
C) 2:3
D) 3 x 2

Answers

Answer:

2:3

Step-by-step explanation:

Ratio is indicated by :

Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3

Hope this helps plz mark brainliest if correct :D

Answer:

2:3

Step-by-step explanation:

2 is first and 3 is the second number so you put them in order

In the school parking lot there were 113 fewer bikes than cars. There were 185 cars. How many cars and bikes were there in the parking lot? What is the estimated amount?

Answers

There is 185 cars and bike is 72

8.
Write the equation corresponding to the graph of y = 7* after having been translated five units upward, three units to the
left, and lastly is reflected over the X-axis.
Write your answer without using parentheses,
DAY

Answers

Answer:

(-3,-13)

Step-by-step explanation:

...................

Roslyn has $25.65 in the bank. She purchased a new shirt for $10.83 and shoes for $8.96. Then she babysat and made $20.35, which she added to the bank. How much money does she have in the bank?

Answers

Answer:

$26.21

Step-by-step explanation:

add the shoes and shirt together and get $19.59 then subtract that to the $25.65

then you will get the remaining amount of money of $5.86.

then do this 20.35-5.86=$26.21

Answer:

$26.19

Step-by-step explanation:

25.65-10.85=14.80

14.80-8.96=5.84

5.84+20.35=$26.19

Which equation represents the graphed linear function?
marked points are 2,3 and 4,2


A y=2x +4
B y=-2x+4
C y=1/2x+4
D y=-1/2x=4

Answers

Answer:

D y=-1/2x+4

Step-by-step explanation:

use the order parir (4,2)     x=4

y=-1/2*4+4

y=-2+4

y=2

12% off pay 5% sales

Answers

Answer: if u are asking $12 off pay 5% sales is

11.4 but if ur asking 12% off of $5 4.40 if anything other then that im not sure the question

Step-by-step explanation:

Help me
Solve ⎪c – 5⎥ = 7

Answers

Answer:

Hey! No need to fret ok so lc-5l =7 so we know the opposite of subtraction is addition so we add 5+7+ 13 so that mean 13-5=7

Step-by-step explanation:

Hope I helped have a good day please put me for brainliest Thank You!

Solve A= mR – R for R.

Answers

Answer:

Step-by-step explanation:

A = mR - R

R(m - 1) = A

R = A / (m - 1)

Solve each equation two step equation test 5+m / -3 =0

Answers

Answer:

m = -5

Step-by-step explanation:

5+m/-3 = 0

~Multiply -3 to both sides

5 + m = 0

~Subtract 5 to both sides

m = -5

Best of Luck!

Answer:

m= -5

Step-by-step explanation:

5+m over -3 = 0

set the numerator equal to 0

-

5 + m = 0

move the constant to the right

-

Solution:

m= -5

Find the midpoint of the line segment joining the points (-2, -1) and (-8,12).

Answers

x¹ = -2 x² = -8

y¹ = -1 y² = 12

Using midpoint formula,

M = ( x¹ + x²/2 ,y¹ + ý²/2)

or,M ={ -2+(-8)/2 , (-1) +12/2}

or, =( -10/2 , 11/2)

:M = ( -5 , 11/2)

What answer choice should i choose

Answers

Answer:

Commas

Step-by-step explanation:

Because it would make the reader pause and it's just adding more information to the text giving the reader more understanding

Solve: | −2n | + 10 = −50


(Find Solution)

Answers

Answer:

No Solution

Step-by-step explanation:

| −2n | + 10 = −50

Subtract 10 on both sides

|-2n|+10-10=-50-10

Simplify

|-2n=|=-60

No Solution

A market sells strawberries for $2.00 per pint. Makayla is going to graph this relationship on the coordinate grid below. Total Cost of Berries On a coordinate plane, the x-axis is labeled Pints and the y-axis is labeled Dollars. What point on Makayla’s graph will represent the cost of 4 pints of strawberries? (2, 4) (4, 0) (4, 8) (8, 4)

Answers

The point which represents the cost of 4 pints is:

                     (4,8)        

Step-by-step explanation:

We are given that:

A market sells strawberries for $2.00 per pint.

Then, cost of 4 pints= $ 4×2.00

                                = $8.00

The point on the x coordinate represents number of pints

and the point on the y coordinate represents the cost in dollars

Hence, the point which represents the cost of 4 pints is:

                     (4,8)        

Answer:

c on edg

Step-by-step explanation:

got it right :)

5. Water is flowing from Tower #1 to Tower #2 in the diagram below at a rate of 20 gallons per
minute. Initially, Tower #1 contained 1650 gallons and Tower #2 contained 570 gallons.
(a) How many gallons does each tower contain after 5
minutes? Show your work.

Answers

9514 1404 393

Answer:

Tower #1: 1550 gallonsTower #2: 670 gallons

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

  (20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

  1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

  570 +100 = 670 . . . gallons in Tower #2

What is 6.289 x 10/3?

Answers

20.96333333

step by step equation

Answer:

Step-by-step explanation:

10/3=3.333333 repeating.

Multiply that by 6.289

=20.96333333

How much simple interest would $800 earn in 300 days at an interest
rate of 1.71%?

Answers

Simple Interest is defined as the interest that would be accumulated on a particular sum of money, loan, or investment kept or obtained from a financial institution.

The simple interest is $11.24

The formula for simple interest is given as:

I = P x R x T

Where

I = Simple Interest

P = Principal = $800

R = Interest rate = 1.71% = 0.0171

T = Time in years = 300 days

Step 1: We have to convert from days to a year

365 days = 1 year

300 days = ?

Cross Multiply

300 days x 1 year / 365 days

= 0.822 year

Step 2: We find the Simple Interest

I = $800 x 0.0171 x 0.822

I = $11.24

Therefore, the simple interest is $11.24

To learn more, visit the link below:

https://brainly.com/question/21150689

CSA Unit 2A-Solving Quadratic Functions
Part 2 (2 questions)
1 f(x) = x2 - 6x + 8
Complete parts -h for the quadratic function
a. Make a table and graph the quadratic equation
b. Axis of Symmetry
c. Vertex
d. Y-intercept
e Max/Min
f Roots
& Domain
х
Y
h. Range
Solve the following quadratic ("hintº find the zeros.)
2 2x2 – 24x + 72 = 0

Answers

I need points sorry man n so yea it’s c

Help would be more then appreciated

Answers

Answer:

a

Step-by-step explanation:

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