If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.

Answers

Answer 1

Answer:

5th term = 18

Step-by-step explanation:

a1    +    a1+d      a1 + 2*d      a1+3d      a1 + 4*d     a1 + 5d

a1 + 2d = 10

6*a1 + 15d = 72

Multiply the first equation by 6

6a1 + 12d = 60

Write the above equation underneath the second equation

6a1  + 15d = 72

6a1 + 12d = 60                Subtract

3*d = 12                            Divide by 3

d = 12/3

d = 4

a1 + 2d = 10

a1 + 2*4 = 10

a1 + 8 = 10                        Subtract 8 from both sides

a1 - 8 = 10- 8

a1 = 2

The fifth term is

t5 = 2 + 4*4

t5 = 18


Related Questions

help asap please for brainlist !!!!!!!!!

Answers

Bff i answered this earlier. It’s step 2!!! Because if you’re flipping the numerator and denominator, the sign of the exponent should be flipped as well. So the exponent will turn into -5x
Sorry if my previous answer was vague. #brainliest!!!

Please y'all I need help

Answers

Answer:

c

Step-by-step explanation:

I think I c cause one of the coordinates is in -4 and the other one is bw 10 and 8 :)

don't ask why im asking for help ;-;

Answers

2.744

merry christler

2.744
yea your welcome

When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4

a) What is the interest rate? How are you thinking?
b) Why does Johan divide by 4?

Answers

Answer:

its b

Step-by-step explanation:

Bu sorunu nasil olur?
how can i solve this problem?

Answers

Answer:

i can't see your handwriting

Your favorite team jersey is on sale for $32 this is a 36% discount what was the original price of the jersey.

Answers

I had gotten 52.48

thats what I used to figure out the answer

Select the correct answer.
A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?
A.
$1.80
B.
$0.85
C.
$0.60
D.
$0.40
E.
$0.30

Answers

Answer:

C.$0.60

hope this help!!!!!!!!!!!!!!!!!!!!!!

14b = −56
i need help figuring out what this is i'm doing it but i keep getting it wrong please help

Answers

Answer:

-4

Step-by-step explanation:

14b = -56

divide by 14

-56 ÷ 14 = -4

b = -4

I hope this helps!

Answer:

b = -4

Step-by-step explanation:

[tex]14b = -56\\\\rule{150}{0.5}\\\frac{14b=-56}{14}\\\\ \boxed{b = -4}[/tex]

Hope this helps.

Plxzzz plzzzzzznhelp meeee

Answers

Answer: A. An infinite number of diameters can be drawn in a circle.

Step-by-step explanation:

There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.

I got it from Goog|e, I hope it helps.

Answer:

"Only a limited number of radii can be drawn in a circle"

Step-by-step explanation:

A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.

I need help with this question ​

Answers

Answer:

The time may be calculated by making the equations equal each other:

2w +7 = .5w + 10

1.5w = 3

weeks = 2

Step-by-step explanation:

If the human heart beats an average of 68 beats in
a minute, how many times will it beat in 84 minutes?
А
5,712
B 5,612
152
5,702

Answers

5,712
Because you just have to multiply
A.5,712 if the human heart beats an average of 68 beats in a minute

A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr

B 66,000 kg km/hr

C 21.8 kg km/hr

D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible

Answers

It is D i believe because the formula for finding momentum is momentum= mass times velocity

PLEASE HELP I THINK THIS IS EASY BUT I DONT WANT TO DO IT

Answers

Answer:

14,20

Step-by-step explanation:

It would be 14 and 20

Mark's test scores for this semester were: 83, 80, 91, 74, 66, 95, 87, 72, 95, & 98. What is the mode of his test scores?

Answers

nnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

The mode is 98 since it is the largest value in the set of data! Hope this helps!

Between 11 P.M. and 8:10 A.M., the water level in a swimming pool decreased by 5/24 in. Assuming that the water decreased at a constant rate, how much did the water drop each hour?

Answers

Answer:

1/44 inches per hour

Step-by-step explanation:

there are 9 hours and 10 minutes during which water decreased by 5/24"

9 hrs, 10 min can be converted to 9 1/6 hours (10 min is 1/6 of 60 min)

5/24 ÷ 9 1/6 = 5/24 x 55/6

5/24 x 6/55 = 1/44  

Please help me asap

tyyyyyyy :D

Answers

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

A class is made up 15 girls and 12 boys. If a group is made up 3 girls and 3 boys, then how many groups can be created?

this is a COUNTING PRINCIPLE problem :")

Answers

4 groups of 3 girls and 3 boys. Then there would be an extra three girls
There can be 5 boy groups and 4 girls groups so a total of 9 groups can be created.

The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?

Answers

Answer:

no of girls - 300

no of boys - 450

no of girls - 6

no of boys - 9

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let boys be x and girls y

x = 2y-3

x - 2y = -3 ------(i)

x = 60/100(x+y)

10x = 6x + 6y

4x = 6y

2x = 3y

2x - 3y =0------(ii)

Subtract (ii) from (i)*2

no of girls - 6

no of boys - 9

to learn more about algebraic expression refer to:

https://brainly.com/question/4344214

#SPJ2

truncate 4087.2 to the tens

Answers

Answer:

  4080

Step-by-step explanation:

When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...

  4080

_____

When a number is truncated, there is no rounding.

4080 steps
Explanation:…

A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 36 gallons
of water. Which table represents the relationship between the number of minutes and
the number of gallons of water in the pool?
А
B
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
4.
1
1
4
8
2
2
8
12
3
3
12
с
D
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
1
9
9
1
2
18
18
2
3
27
27
3

Answers

Answer:

C

Step-by-step explanation:

36 gallons ÷ 4 minutes = 9 per minute

Need help ASAP! Directions in picture ;)

Answers

Answer:

30

Step-by-step explanation:

130 + 20 = 150

All angles added together in a triangle equal 180 so...

180 - 150 = 30

I hope this helps!

What is the answer

80x+56=100​

Answers

Answer:

Ur answer buddy

The equation80x+56=100

First, solve like this80x = 100 - + 56

U have to know the formula

- + = -

+ + = -

- - = +

+ - = +

So, The answer is

80x = 44

Now , we have divide

80/44 = 40/22 = 20/11= 1.8182.

i'm so confused pls somebody help me

Answers

Answer:

(6x-8)+(3x)+x=180 - the equation that would be used to find x

Step-by-step explanation:

(6x-8)+(3x)+x=180

I´m not sure what the answer of the equation is but this is the equation. im sorry :(

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

3x + x + 6x - 8 = 180 , that is

10x - 8 = 180 ( add 8 to both sides )

10x = 188 ( divide both sides by 10 )

x = 18.8

3x = 3 × 18.8 = 56.4

6x - 8 = 6(18.8) - 8 = 112.8 - 8 = 104.8

Then the 3 angle measures are

18.8° , 56.4° , 104.8°

If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7. 5 feet feet feet 30 feet.

Answers

The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.

Given :

The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

The following steps can be used in order to determine the length of the hypotenuse:

Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.

Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

Step 3 - So, the length of the hypotenuse is calculated as:

[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]

Step 4 - Simplify the above expression.

[tex]H =30\;{\rm ft}[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

brainly.com/question/21149612

Answer:

d

Step-by-step explanation:

A bus half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class half ticket from the station A to B costs 1000. Also, if two reserved first class full tickets and one reserved first class half ticket from A to B costs 4000, then the difference of the full first class fare from station A to B and the reservation charges for a ticket is​

Answers

Answer:

A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...

Step-by-step explanation:

..right ya ???

What is the correct answer?

Answers

Answer:

tan(w)=opp/adj

tan(w)=12/5

=2.4

=3 ........ rownd

We know

[tex]\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}[/tex]

Now

[tex]\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}[/tex]

[tex]\\ \sf\longmapsto tanW=\dfrac{12}{5}[/tex]

[tex]\\ \sf\longmapsto tanW=2.4[/tex]

What is 16 divided by 5%=?

Answers

Answer:

320

Step-by-step explanation:

I am assuming we are trying to find 16/5%.

5% is equal to 1/20, so we can make this into :

[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]

This is equal to 16 x 20 = 320

Answer:320

Explanation: divide 16 by 5% on your phone calculator

Find the missing base.
Write your answer as a whole number.
?^2=36

Answers

Answer:

6

Step-by-step explanation:

6^2 = 36

hope this helps! :D

have a miraculous day!! <3

The Bill of Rights was ___.
A) all of these
B) demanded by those considering ratification of the Constitution
C) none of these
D)the first ten amendments to the Constitution
E) added by the first Congress after the ratification of the Constitution

Answers

Answer: The answer is D, the first ten amendments to the constitution.

What is the range of y=3sin(x)?

Answers

Answer:

The range is -3≤y≤3 - 3≤y≤3.

Step-by-step explanation:

I hope this helps! :)

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