If given the following AP what is the common difference 10, 15, 20

Answers

Answer 1

Answer:

The common difference of the given AP is d=5.

Step-by-step explanation:

Given the sequence

[tex]10,\:15,\:20[/tex]

An Arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Computing the common difference of all the adjacent terms

[tex]10,\:15,\:20[/tex]

[tex]15-10=5,\:\quad \:20-15=5[/tex]

As the difference between all the adjacent terms is the same and equal to

[tex]d=5[/tex]

Therefore, the common difference of the given AP is d=5.


Related Questions

The first time the us enacted a temporary income tax was

Answers

Answer:

the revenue act of 1862

Step-by-step explanation:

President Abraham Lincoln signed it

A bridge is supported by triangular braces. IF the sides of each brace have the lengths 3 feet, 46 feet, and 40 feet, find the measure of the angle opposite of 46 feet side.

Answers

Answer:

46.76

Step-by-step explanation:

Applying the law of cosines

What is the area, in square feet, of the shaded part of the rectangle below?
5ft
17 ft
11 ft

Answers

Results
121 ft2
Square Footage = 121 ft2
Square Yards = 13.444444 Yd2
Square Meters = 11.241263 m2
Acres = 0.002778 acre

Which of the following expressions results in a positive number? Select three that apply.
A. -6 · (-3) · (-2)
B. -4 · (-3 - 1 )
C. -3 · (-8)
D. -3 · (-2 + 6)
E. 5 · (-1)
F. 6 · (4-2)

Answers

Answer: B, C, and F

Step-by-step explanation:

The expressions that result in a positive number will be -4 · (-3 - 1), -3 · (-8), and 6 · (4 - 2). Then the correct options are B, C, and F.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Simplify all the options, then we have

A. -6 · (-3) · (-2) = - 36

B. -4 · (-3 - 1 ) = 16

C. -3 · (-8) = 24

D. -3 · (-2 + 6) = - 12

E. 5 · (-1) = - 5

F. 6 · (4 - 2) = 12

The expressions that result in a positive number will be -4 · (-3 - 1), -3 · (-8), and 6 · (4 - 2). Then the correct options are B, C, and F.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Determine which statement uses a valid argument.

A.
If it is hot outside, then Matt will not wear a jacket. Matt is not wearing a jacket. Therefore, it is hot outside.
B.
If it is Tuesday, then the library is open. The library is open. Therefore, it is Tuesday.
C.
If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.
D.
All practicing lawyers must pass the bar exam. Chris did not pass the bar exam. Therefore, Chris is a practicing lawyer.

Answers

Answer:

The answer is C.

Step-by-step explanation:

- If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.

Answer: C

Explanation:
A is wrong because it just specifies a certain situation, when Matt could be not wearing a jacket because he is inside.

B is wrong because it is not specified that Tuesday is the only day the Library is open.

C is right because it does specify under what conditions the museum is closed, and the following statement falls under the condition.

D is wrong because it established that all need to pass to be a practicing lawyer, Chris did not pass, but it is asserted that he is a lawyer making this assertion invalid.

What is the sum of two consecutive numbers is 141

Answers

Two consecutive numbers can be written as:
x , x+1

So their sum being 141
x + x +1 = 141

Combine and solve for c

2x = 140
x = 70

So two numbers are:

70,71

The two consecutive integers such that their sum is 141 will be 70 and 71.

What is a number system?

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's say that two consecutive integers are x and x + 1.

x + x + 1 = 141

2x + 1 = 141

2x = 140

x = 70

So, x + 1 = 71

Thus, it will be 70 and 71.

Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".

For more about the number system,

https://brainly.com/question/22046046

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A rectangle made of square tiles measures 9 tiles long and 4 tiles wide. What is the length of a similar rectangle whose width is 8 tiles?

Answers

the answer is in the picture.

R
B
R
P-
a
0
Wb
Z
Z
4. a) In the adjoining figure, show that a = 90° -
2
AAX
YAB
A​

Answers

Step-by-step explanation:

qbbab w qnajkwkqqnnqnwn

A) 90° - Right angle

Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]

Answers

Answer:

she spends 9 hours

Step-by-step explanation:

Why it said he used partial products to write 7 × 870 = 5600 + 49 explain why its error in use math to justify your explanation

Answers

The equation doesn’t equal each other
6090=5649

The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.

The given equation is 7 × 870 = 5600 + 49.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Now, product of two numbers 7 and 870 is

7 × 870=6090

⇒ 7 × 870 = 5600 + 490

Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

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6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm 6 cm
The perimeter of the polygon above is

Answers

Answer:

this is a uniform polygon (that is all its sides are of the same value)

6 into number of sides

6 × 10

60

the perimeter of the polygon is 60

Step-by-step explanation:

i hope this helps.

have a great day ahead :D

Answer:60

Step-by-step explanation:

giving brainliest !!!

Answers

It is given that AB is parellel to CD. These two lines are cut by a transversal, creating angles BAC and DCA. Thus, angle BAC is congruent to angle DCA because alternate interior angles are congruent. It is also given that angle ACB is congruent to angle CAD. Therefore, triangle ABC is congruent to triangle CDA because of the ASA theorem.

Find the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?

Answers

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points lie on the line

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

m = -2

∵ m is the slope of the line represented by the given equation

The slope of the line given by the linear equation is -2

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

x1 = 6 and y1 = 0

x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]

m = -1

∵ m is the slope of the line shown in the graph

The slope of the line shown in the graph is -1

3. Which is equivalent to the expression below?
4e 6 -2e + 5f + 2 - 2
a. be + 3f + 4
b. 2e + 7f + 4
C. 6e + 7f + 8
d. 2e + 3f + 8

Answers

Answer:

B

Step-by-step explanation:

I took an educated guess because i really wasnt sure

Answer:

B. 2e + 7f + 4

Step-by-step explanation:

I took the quiz

what is 21 x 29 I need the answer please

Answers

Answer:

609

Step-by-step explanation:

609

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

A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?

PLEASE HELP ME WILL REPORT IF TROLL

Answers

Answer:

The answer is 1470 seconds.

Step-by-step explanation:

Mrs. Robert’s vegetable garden is 6 feet wide and 8 feet long. A drawing of the garden has a scale of 1 inch 2 feet. What is the area of the garden on the scale drawing? a. 192 in b. 12 in c. 7 in d. 28 in

Answers

Answer:

Step-by-step explanation:

It’s 24

Answer:

b.12 inch squared

Step-by-step explanation:

6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12

Find the gradients of lines A and B.

Answers

Hey, you didn’t provide any picture or further context.

To solve for gradient, do (y2-y1)/(x2-x1)
So what do you think?

A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?

Answers

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

[tex] \theta = 30 + 10 = 40 [/tex]

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{BC}{42} [/tex]

Multiply both sides by 42

[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]

[tex] 35.24 = BC [/tex]

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

[tex] \theta = 30 [/tex]

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(30) = \frac{BD}{42} [/tex]

Multiply both sides by 42

[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]

[tex] 24.25 = BD [/tex]

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are there. How many girls are there.

Answers

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

[tex]b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80[/tex]

Hence,

There are 60 boys and 80 girls in Franklin School.

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbol.

Answers

Answer:

read

Step-by-step explanation:

The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A:

✔ 24 > 16

B:

✔ –22 < –6

C:

✔ 21 > –18

D:

✔ –25 < 5

Multiplying both sides of an inequality by a positive number

✔ does not change

the inequality symbol.

Here  fools the rights answers  hope it helps O<O

Answer:

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.

The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A:

✔ –16 < –4

B:

✔ 40 > 8

C:

✔ –45 < 15

D:

✔ 35 > –20

Multiplying both sides of an inequality by a negative number

✔ reverses

the inequality symbol.

Steve has converted his garage into a separate living space and listed the property for short-term rental on an online platform. Steve spends an average of 15 hours each week performing activities related to the rental property. Which activity is considered a substantial service?
1. Administrative activities, including paying bills and advertising the rental.
2. Changing sheets and towels between rentals.
3. Re paring carpet damaged by quests
4. Transporting quests to and from the airport and sightseeing trips.

Answers

Answer: 4. Transporting quests to and from the airport and sightseeing trips.

Step-by-step explanation:

Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.

Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.

What is f(4) for the function f(x)= 6x+7?

Answers

Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

1,682inches rounded to the nearest hundredth is 1,68?

,

Answers

Answer:

correct its 1.68

Step-by-step explanation:

giving brainliest !!!

Answers

Answer:

Given

Step-by-step explanation:

Statement 1: AB is parallel to CD is justified as 'Given'

9. The temperature outside Jeff's house is 14 °C at midday.
By midnight, the temperature has fallen by 27 °C.
What is the temperature at midnight?
Section 1 – Number and Proportion

Answers

Answer:

-13ºC

Step-by-step explanation:

The temperature has fallen, so you subtract.

14ºC-27ºC=-13ºC

Simplify: 6s – (3s – 2) A. 3s + 2 B. 3s – 2 C. -3s – 2 D. -3s + 2

Answers

Answer:

A. 3s + 2

Step-by-step explanation:

6s - (3s - 2)

6s - 3s +2

3s + 2

A. 3s + 2

Answer:

 [tex]\boxed{3s+2}[/tex]

Solution Steps:

__________________________________________________________

To find the opposite of 3s−2, find the opposite of each term:

Opposite of [tex]3s[/tex] = [tex]-3s[/tex]Opposite of [tex]-2[/tex] = [tex]2s[/tex]

Combine 6s and −3s:

[tex]6s+(-3s)=3s[/tex]

Rewrite:

[tex]6s-(3s-2)=3s+2[/tex]

__________________________________________________________

 [tex]\bold{Hope~this~helps~Mate!}\\\bold{If~you~need~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~-Your~friendly~answerer,~Shane.}[/tex]

What is the value of p in the proportion below?
20/6 = p/12

O 2
O 10
O 40
O 72​

Answers

Answer:

p = 40

Step-by-step explanation:

20/6 = p/12

Reduce the fraction on the left side.

10/3 = p/12

Cross multiply.

3p = 10 * 12

Divide both sides by 3.

p  = 10 * 4

p = 40

20/6 = p/12
p=40
hope this help you

Change the radical √5/√8


into simplest radical form a/b √c, where a, b, and c are all integers.

Answers

Answer:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{5}}{\sqrt{8}}[/tex]

Required

Express in its simplest form

To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.

In other words:

[tex]\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}[/tex]

[tex]\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}[/tex]

[tex]\frac{\sqrt{40}}{\sqrt{64}}[/tex]

Take positive square root

[tex]\frac{\sqrt{40}}{8}[/tex]

Express 40 as 4 * 10

[tex]\frac{\sqrt{4*10}}{8}[/tex]

[tex]\frac{\sqrt{4}*\sqrt{10}}{8}[/tex]

[tex]\frac{2*\sqrt{10}}{8}[/tex]

Simplify:

[tex]\frac{1*\sqrt{10}}{4}[/tex]

[tex]=\frac{1}{4}\sqrt{10[/tex]

Hence:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

(100) POINTS NO JOKE!!!!Which ratios are equivalent to 7

3

? Check all that apply.


(A) 27:21

(B) 28 to 12

(C) 56/ 24

(D) 63 to 27

(E) 9/21

Answers

Answer:

B, C, D

Step-by-step explanation:

If simplified, 28:12 becomes 7:3, as 28 is evenly divisible by 7 and 12 is easily divisible by 3. This applies to 56:24 and 63:27 as well.

For example:

(28:12)/ 4 = 7:3

It’s C B and D, I just answered this one on my test! C:
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