If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?

Answers

Answer 1

The value of a28 given a11 = 23 and a15 = −5 is -96

Given:

a11 = 23

a15 = −5

Where,

a1 = first term

d = common difference

a11 = a + 10d = 23

a15 = a + 14d = -5

a + 10d = 23 (1)

a + 10d = 23 (1)a + 14d = -5 (2)

subtract (1) from (2) to eliminate a

14d - 10d = -5 - 23

4d = -28

d = -28 / 4

d = -7

Substitute d = -7 into (1)

a + 10d = 23 (1)

a + 10(-7) = 23

a - 70 = 23

a = 23 + 70

a = 93

So,

a28 = a + 27d

= 93 + 27(-7)

= 93 + -189

= 93 - 189

= -96

Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96

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Related Questions

Neika is saving her money to buy a DVD that costs $45. If she has a job that pays $8 per hour, write and solve an inequality that shows the minimum number of hours that Neika will need to work in order to pay for the DVD.​

Answers

Answer:

8x6=48 so in 6 hours she will have enough money to buy it

Step-by-step explanation:

6 hours will give her 48 dollars if the dvd costs 45 so she will have to work 6 hours

Mr. Johnson is purchasing chicken for a family
BBQ. He purchases 7.8 pounds of chicken that costs
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Johnson receive if he gives the cashier a $50 bill?

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21.92 dollars w/o tax
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what is 2/3 x 9/8 as a fraction in simplest form

Answers

Answer: [tex]\frac{3}{4}[/tex]

Have attached the picture for explanation...

The product of the fraction in the simplest form is 3/4

What is a fraction?

A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

What is the product of the fraction?

2/3 x 9/8 = 18/24 = 3/4

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Hello i need help with this one its only one.

Answers

Answer:

y=8 x+2

Step-by-step explanation:

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Answers

the answer is 268435456

Sasha drinks 2.5 liters of water each
weekday. She drinks a total of 3 liters of
water on the weekend. What is the total
volume of water, in milliliters, Sasha drinks
each week?

Answers

Answer:

17000

Step-by-step explanation:

2.5

.5

11.0

3*2=6

11

+6

17

Which pairs of angles are alternate interior angles? Select all that apply.

There are two vertical parallel lines and a transversal. The angle formed by the transversal on the left of the first vertical line are labeled as 1, and 2, and the angle formed by the transversal on the right of the first vertical line are labeled as 3 and 4. The angle formed by the transversal on the left of the second vertical line are labeled as 5 and 6, and the angle formed by the transversal on the right of the second vertical line are labeled as 7 and 8.

Answers

Answer:

9 and 10 i dont know why they have us doing this confusing  stuff

Step-by-step explanation:

To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried
cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of
sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix
with 20 oz of nuts? Show your work.

Answers

The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.

Sebastian can make more cherry trail mix

Reasons:

The given recipe are;

1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.

1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds

The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;

[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]

The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes

[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]

[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]

The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix

Therefore;

Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.

Learn more about division of numbers in arithmetic here:

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I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. A wire is needed to support a vertical pole 8 feet tall. The cable will be anchored to a stake 6 feet from the base of the pole. How much cable is needed?

Answers

Answer: The answer is 10 feet of cable.

help please I'm stuck on this question

Answers

Answer:

120 yd²

Step-by-step explanation:

The floor consists of a square and a triangle

area of square = 10² = 100 yd²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 4 and h = 10 , then

area = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 yd²

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math #lollololollollol

Answers

Answer:

the answer is 2

Step-by-step explanation:

45/100 in its simplest form

Answers

Answer:

9/20

Step-by-step explanation:

5×9=45

5×20=100

we need to convert it in lowest term by dividing it..

Write the equation from the table below.

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0 -5
1 -2
2 1
3 4
4 7

Answers

Answer:

hope this helped

Step-by-step explanation:

y = mx + b

b, the y-intercept, = 3 because when x is 0, y is 3

find m, slope:

(0,3) (2,2)

2 - 3/2 - 0

-1/2

-0.5 or -/2

y = -1/2x + 3

or

y = -0.5x + 3

a farm is sold for $457000, which gives a profit of 19%. Find the profit
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Answers

Answer: its 73,000

Step-by-step explanation: the answer sheet has the answers...

Given that 2x - 45=7y and 3x=15, what is the value of y+2?
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Answers

Answer:

the value of y+2 is 21+2=24y

Which represents the explicit formula for the arithmetic sequence an = 7 - 3(n - 1) in function form?

Answers

Answer:

f(n) = 7 - 3n + 3 and

f(n) = 10 - 3n or

f(n) = -3n + 10

Step-by-step explanation:

Which situation results in a zero balance?
A Jenny uses her credit card to buy a $1,400 refrigerator and then makes a payment of
$1,400 to her credit card company.
B Pedro deposits $2,346 into a new checking account and then writes a check for $346.
C Eliza spends $150 on supplies for her business and then spends $150 in rent.
D Juanita earns $75 from her job and receives $75 from her sister.

Answers

Answer:

A

Step-by-step explanation:

0 - 1400 = -1400 + 1400 = 0

The answer to This question is A

Jim is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?

Answers

Answer:

It is 2.5 hours.

Step-by-step explanation:

help pls, i will give brainliest :)

Answers

I think the answer should be -3

QUESTION
[tex] {45}^{4} + {72}^{3} [/tex]
note: bye, i'm go back to Indonesian server. my rank in Indonesian server is ace. si hebat=ace​

Answers

Step by step explanation:

4100625+373248

so the answer is;

4473873

answer in Alternative Form

4.473873x10

trust my answer and liked and make it brainliest please

A tortoise moves at a speed of 22 inches in 7 seconds. What is its average speed in feet per hour?

Answers

The average speed in feet per hour will be;

⇒ 942.85 feet per hour

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Distance = 22 inches

Time = 7 seconds

Now,

Since, A tortoise moves at a speed of 22 inches in 7 seconds.

Hence, Distance = 22/12 feet

And, Time = 7 / 3600

Thus, The average speed = (22/12) / (7/3600)

                                        = 22 × 3600 / 12 × 7

                                        = 942.85 feet per hour

Therefore, The average speed in feet per hour will be;

⇒ 942.85 feet per hour

Learn more about the mathematical expression visit:

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#SPJ1

Here you go. 29-28+28+11-11=?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

29-28=1

1+28=29

29+11=40

40-11=29

Thank you for this challenge that was half the challenge of a challenge........

Better hope you stay up long enough to see the animatronics. :)

what is the set of all the output values in a function called?

Answers

Answer:

Set Y I’m pretty sure

Step-by-step explanation:

MARKING BRAINLIEST PLEASE HELP

Answers

5 hours IS THE AWSER CHOSE 5

PLS HELP!! Ill mark brainliest!

Answers

Answer:

120 cm^3

Step-by-step explanation:

1. 9 times 5 =45

2. 45 divided by 3 = 15

3. 15 times 8 = 120

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

25

Step-by-step explanation:

20^2 + 15^ = c^2

400 + 225 = c^2

625 = c^2

25 = c

Answer: The length of the ladder is 25 feet.

The points (4, 10) and (1,4) fall on a particular line. What is its equation in
slope-intercept form?

Answers

Answer:

Slope of the line (m): 2.0

Y-intercept of the line (b): 2.0

Slope Intercept Form (y = mx + b): y = 2x + 2

Step-by-step explanation:

Slope intercept calculator lol

Find the value of x that makes △DEF∼△XYZ.

Answers

Answer:

x = 5

Step-by-step explanation:

5×2 = 10

8×2 = 16

so

2(3x-5) = 20

3x-5 = 10

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x = 5

Perform the operation. (-4x^2-2x-6)-(-7x^2-2x-2)

Answers

Answer:

3x²-4

Step-by-step explanation:

1 distribute

(-4x²-2x-6)+7x²+2x+2

2 eliminate redudant parentheses

-4x² -2x - 6+7x² +2x+2

3 Add the numbers

-4x²-2x-4+7x²+2x

4 Combine like terms

3x²-2x-4+2x

5 Combine like terms

3x²-4

Answer:

[tex]3x^{2} -4[/tex]

Step-by-step explanation:

Before solving this you have to know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Let us solve now.

[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]

[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]

[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]

Now combine like terms

[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]

[tex]3x^{2} -4[/tex]

Hope this helps you .

Let me know if you have any other questions :-)

PLS SOMEONE HELP I WILL GIVE U 28 POINT

Answers

Answer:

z=37

x=105

y=68?

Step-by-step explanation:

Leave a brainliest if this helped!

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