Identify the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ...

Identify The Common Difference In The Arithmetic Sequence: 21, 15, 9, 3, -3, ...

Answers

Answer 1

Answer:

the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ... is 6


Related Questions

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
1/4 of the drink is apple juice and
2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form

Answers

Answer:

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

Step-by-step explanation:

Given

[tex]Apple = 1/4[/tex]

[tex]Orange = 2/5[/tex]

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

[tex]Cranberry + Apple + Orange = 1[/tex]

Substitute values for Apple and Orange

[tex]Cranberry + 1/4+ 2/5= 1[/tex]

Collect Like Terms

[tex]Cranberry = 1- 1/4- 2/5[/tex]

Take LCM

[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]

[tex]Cranberry = \frac{7}{20}[/tex]

The ratio is then represented as:

[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]

Multiply through by 20

[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]

[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

What is the original price when the discount is 64% and the sale price is $72

Answers

Answer:

$200. had to edit, read the question wrong originally

Answer:  $200

=======================================================

Work Shown:

If you save 64%, then you still have to pay the remaining 100% - 64% = 36%

x = original price in dollars

sale price = 36% of x = 0.36*x = 72

0.36*x = 72

x = 72/0.36

x = 200

The original price is $200

discount = 64% of 200 = 0.64*200 = 128

You save $128

The amount you pay is 200-128 = 72 dollars, which matches with the given sale price.

What is the value of 2x + 6 when x = 10?
Please help a girl out

Answers

Answer:

26 is the answer :) plz brainliest?

Step-by-step explanation:

2(10) + 6

20+6

26 :)

help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: C. 1 - x

Step-by-step explanation:

1/100 = 0.01

10/100 = 0.1

1 - 100 = -99

10 - 100 = -90

Answer:

C

Step-by-step explanation:

A. 1/100

B. 10/100=1/10

C. 1-100=-99

D. 10-100=-90

Identify the constant of proportionality from the table.

Answers

It’s A. 9 the equation is y=9x+0

Answer:

A. 9

Step-by-step explanation:

A P E X

solve the proportion 9x=62

Answers

Answer: x=6.8

Step-by-step explanation:

I figured it out ;)

Answer:

x=6.889

Step-by-step explanation:

9x=62

x=62/9

x=6.889

In example 5, a hot dog stand is located halfway between the shoe store and the pizza shop, at point H. Show that PH=HM.
A park, a shoe store, a pizza shop, and a movie theater are located in order on a city street. The distance between the park and the shoe store is the same as the distance between the pizza shop and the movie theater.

Answers

Answer:

rteiyykykkucouyrilhk,dkrbbvvbnkl

A company that makes hair products had 9000 people try new shampoo of the 9000 people 72 had a mild allergic reaction what percent of the people had a mild allergic reaction

Answers

Answer:

0.8%

Step-by-step explanation:

Number of people had mild allergic attack = 72

% of people who had mild allergic attack = 72/9000 × 100%

                                                               = 0.8%(Answer)

can somebody good at math help me with these please I would really appreciate it

Answers

Answer:

down below:)

Step-by-step explanation:

sale price    discount

                    1. multiplied by 0.82

                    2. multiplied by 0.75

                    3. multiplied by 0.9

1. 18.45

2. 30

3.  23.4

URGENT!!! PLEASE HELP (30 points !!!)

Use the line tool to graph the equation on the coordinate plane.


y=-3

Answers

the line with the arrows is where y=-3 is

Rearrange x = 3g + 2 to make g the subject g=?

Answers

Step-by-step explanation:

x=3g+2

you need to move the equation to the other side, first you'd start with the one furtherest from g, which is is 2.

x = 3g

-2. - 2

and minus it from both sides

x-2=3g

3g is like 3x, which is 3 times x and you need to use the opposite operators so times would become divide.

so now it becomes x-2 over 3=g

Magda is going to finance her car purchase using an auto loan which statement below is accurate

Answers

Answer:

where are the answer choices

Answer:

The statement that is accurate is:

"Her principal is the cost of the car, minus any down payment she makes."

Step-by-step explanation:

work out the difference between 77.5 and 2.27​

Answers

77.5-2.27 is equal to 75.23

hope it helps

The difference of our given numbers between 77.5 and 2.27​ is 75.23.

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We are asked to find the difference between  77.5 and 2.27​

Upon converting our given problem as a subtraction problem, we will get:

77.5

-   2.27

Upon subtracting our given numbers, we will get;

77.5

-   2.27

75.23

Therefore, the difference of our given numbers between 77.5 and 2.27​ is 75.23.

Learn more about difference here:

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What is the sum of the 16th square number and the 6th square number?

Answers

Ne demek istoyusun anlamadım

Analyze the diagram below and complete the instructions that follow.



Find the value of x.
A. 18
B. 22
C. 24
D. 28

Answers

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

x + 32 =[tex]\sqrt{2500}[/tex] = 50 ( subtract 32 from both sides )

x = 18 → A

I really don’t understand these two question plz help

Answers

Answer:

1) I would remove the '-2' first by adding '2' to both sides. Technically, it does not matter the order you remove the '5' or '-2' though it would be more of a hassle if you were to remove the number associated w/ a variable as you would do extra steps when there is a possibility to do it in less steps. So, ideally, it does matter but depending on your perspective.

2) You would begin by turning '1' into a fraction that has the same denominator as the fraction it is to be added to. This would get you 7/7. Then, you add 7/7 to 4/7 in order to get your final answer of 11/7. You could also just put the two numerical values together as '1 4/7' but I am inferring they want it in an improper fraction format. The steps to get an improper fraction are ideal since it is the simplest way to get to the final answer.

If you have any more questions please comment them and I will be happy to answer them if I can ^^

Write 5^3 as a product of the same factor.

Answers

Answer:3*3*3*3*3=243

Step-by-step explanation:

Find the measure of the missing angles

Answers

1- 38
2-90
3-38
hopefully i’m right i’m not 100% sure though :)
Angle 1 is 52 angle 2 is 79 angle 3 is 38

1. You spend $18 on breakfast and tax is 7%. Wha is your total? ​

Answers

Answer:

the answer is $20.33 I hoñe it helps

John is working for his dad during his summer vacation. Complete the rate chart below to find how much money John makes in a certain number of days.

Number of Days 15 18 21 24 27
Total Amount of Money Made (in dollars) 75 ? 105 120 135
A.
70
B.
80
C.
90
D.
105

Answers

Answer:

it's answer is C 90

hope it helps you

Answer:

the answer is 90

I hope it helps mate

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

6.
20n = 300
What’s the answer

Answers

Answer:

n=15

Step-by-step explanation:

300/20=15

n=15

Answer:

n = 15

Step-by-step explanation:

I took 300 and divided it by 20 to find n.

300 / 20 = 15

To check the answer, I completed this;

20(15) = 300

300 = 300

Hope this helps!

if anyone knows please help!!! i'm a bit confused

Answers

Answer:

yes

Step-by-step explanation:

Find the sum of 4x^2-4x+104x
2
−4x+10 and 2x^2+5x-82x
2
+5x−8.

Answers

The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have:

First expression:

[tex]\rm 4x^2-4x+10[/tex]

Second expression:

[tex]\rm 2x^2+5x-8[/tex]

Let's denote the sum of these two expressions with F(x)

[tex]\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2[/tex]

Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

Learn more about Polynomial here:

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PLEASE HELP ITS DUE SOONNN

Answers

Answer:

Red

Step-by-step explanation:

Bc if you - 8x it would be -2y=12-8x and then you divide -2 by 12 and -8x the answer would be y=4x-6

Answer:

y = 4x - 6

Step-by-step explanation:

8x - 2y = 12

-2y = -8x + 12

-2y/-2 = -8x/-2 + 12/-2

y = 4x - 6

simplify 5 x a x 5 x a

Answers

Answer:

25 a squared

Step-by-step explanation:

please give me a brainliest!!<3

Calculate these, and write each awnser in Standard Form.

Answers

Step-by-step explanation:

Do you need answers to all of them of some of them?

1. (4.5×10¹²)÷(9×10^10)

(45×10^-1×10¹²)÷(9×10^10)

(45×10¹¹)÷(9×10^10)

(45÷9)×(10¹¹÷10^10)

5×10

if you need help with the others kindly let me know

Solve for x. Enter the solutions from least to greatest.
(x+15)^2-10=0

Answers

Answer:

lesser x = -1.84lesser x = -8.16

Step-by-step explanation:

Given the expression

[tex]\left(x+5\right)^2-10=0[/tex]

Add 10 to both sides

[tex]\left(x+5\right)^2-10+10=0+10[/tex]

Simplify

[tex]\left(x+5\right)^2=10[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

solve

[tex]x+5=\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=\sqrt{10}-5[/tex]

[tex]x=\sqrt{10}-5[/tex]

[tex]x=-1.8[/tex]

so

[tex]x+5=-\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-\sqrt{10}-5[/tex]

Simplify

[tex]x=-\sqrt{10}-5[/tex]

[tex]\:x=-8.2[/tex]

As -1.84 > -8.16

so

lesser x = -1.84lesser x = -8.16

Find the slope of the line through (9, 4) and (0, 5).

Answers

Answer:

It's just y2-y1 over x2-x1

Step-by-step explanation:

so pick a coordinate and make it 1 and make the other one 2  and put in the numbers.

The slope of the line will be m = -1/9.

What is the general equation of a Straight line?The general equation of a straight line is -

        y = mx + c

        [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis

Other possible equations of line are -

(y - y₁) = m(x - x₁)                                {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                        {Normal form}

We have a line through (9, 4) and (0, 5).

The slope of the line will be -

[m] = (4 - 5)/(9 - 0)

[m] = - 1/9

Therefore, the slope of the line will be m = -1/9.

To solve more questions on straight line, visit the link below-

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help me please!!!!! :D

Answers

Answer:

13 or 30

Step-by-step explanation

Evaluate the expression when a=−2 and b=3.
ab=

Answers

Answer:

ab = -2 * 3 = -6

Step-by-step explanation:

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