If the pattern below follows the rule "starting with 10, every consecutive line has a number 1 less than the previous line," how many marbles must be in the seventh line?

If The Pattern Below Follows The Rule "starting With 10, Every Consecutive Line Has A Number 1 Less Than

Answers

Answer 1

Answer: B: 4

Step-by-step explanation: just took the test

Answer 2

The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.

What is an Arithmetic Progression?

An arithmetic progression (A.P.) is a series where every term is the sum of the previous term and a common difference.

The first term of an arithmetic progression is denoted by a, and its common difference is denoted by d. The n-th term of an arithmetic progression can be found using the formula

n-th term = a + (n-1)d.

How do we solve the given question?

We are given a pattern, starting with 10 marbles and every consecutive line has 1 less marble than the previous line. We are asked to find the number of marbles in the 7th line.

This can be seen as an arithmetic progression with the first term a = 10, and the common difference d = -1.

We are asked to find the number of marbles in the 7th line. This can be taken as the 7th term of the given arithmetic progression.

n-th term = a + (n-1)d

or, 7th term = 10 + (7-1)(-1) = 10 + 6(-1) = 10 - 6 = 4.

∴ The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.

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Related Questions

how is scientific notation used in the real world

Answers

Answer:

Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.

Step-by-step explanation:

These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.

Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:

Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.

Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).

Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².

Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.

Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.

Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.

Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.

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HELP ME!!! THIS IS THE LAST QUESTION ON MY HOMEWORK

Answers

I hope this helped. You just needed to divide it by 2

Which set of measurements will produce a scalene acute triangle?

Answers

PLEASE GIVE BRAINLIST

An ACUTE triangle contains three acute angles. (In other words, each angle of an acute triangle is less than 90 degrees.) A SCALENE triangle is one in which all sides have different lengths (and therefore, all angles have different measures).

HOPE THIS HELPED

9. Fill in the blank. -8 +_= -15
10. Fill in the blank. 12 +_=-30
Please respond quickly thank you!

Answers

Step-by-step explanation:

9. -8+(-7)=-15

10. 12+(-42)=-30

If log x (8x-3)-logx4=2, the value of x is or .

Answers

X false -10 cg(centigrams)+8x-3

Answer:

[tex] x = \dfrac{1}{2} [/tex]   or   [tex] x = \dfrac{3}{2} [/tex]

Step-by-step explanation:

[tex]log_x (8x - 3) - log_x {4} = 2[/tex]

[tex] log_x \dfrac{8x - 3}{4} = 2 [/tex]

[tex]log_x (2x - \dfrac{3}{4}) = 2[/tex]

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

[tex] 4x^2 - 8x + 3 = 0 [/tex]

[tex] (2x - 1)(2x - 3) = 0 [/tex]

[tex] 2x - 1 = 0 [/tex]   or   [tex] 2x - 3 = 0 [/tex]

[tex] 2x = 1 [/tex]   or   [tex] 2x = 3 [/tex]

[tex] x = \dfrac{1}{2} [/tex]   or   [tex] x = \dfrac{3}{2} [/tex]

Find (f•g)(-4) if f(x)= 3x +6 and g(x)=3x+6.

Answers

Answer:

-12

Step-by-step explanation:

(f·g)(-4) = f(g(-4))

g(-4) = 3(-4)+6

g(-4) = -12 + 6

g(-4) = -6

f(g(-4)) = f(-6) = 3(-6) +6

f(g(-4)) = -18 + 6

f(g(-4)) = -12

factorize
a²-b²-20+1​

Answers

Answer:

(a+b)(a-b)-19

Step-by-step explanation:

a²-b²

=a²-ab+ab-b²

=a(a-b)+b(a-b)

=(a+b)(a-b)

it'll be more easy to understand if u try solving it the other way(from bottom to the top)

there fore... a²-b²=(a+b)(a-b)

and -20+1=-19

so then the ans will be(a+b)(a-b)-19

Dunni earns money babysitting.She charges $20 for traveling to the job, plus another $5 for each hour she babysits.Yesterday Dunni earned $60 for babysitting job

Answers

Well. It sounds like she baby sited for 8 hours and the rest was from her flee so 20$ + 40$ =60$

solve equation 4x+2y=8 for y

Answers

Answer: y= -2x+4

Step-by-step explanation:

2y=-4x+8

y= -4/2x+8/2

Answer:

y=-2x+4

Step-by-step explanation:

4x+2y=8

2y=8-4x

y=(8-4x)/2

y=4-2x

y=-2x+4

10.) A box is created from a sheet of cardboard 20 in, on a side by cutting a square from each corner and folding up the sides Let x represent the length of the sides of the squares removed from each corner. Find an expression for the volume of the box in terms of x ​

Answers

Answer:

the volume will be (20-2x)(20-2x)(x)

Step-by-step explanation:

assuming its a square

Help me please it says that I need help !!

Answers

Answer:

  A, D

Step-by-step explanation:

The independent variable is plotted on the x-axis. It is labeled "number of cans". The dependent variable is plotted on the y-axis. It is labeled "number of tennis balls". Then each ordered pair is ...

  (independent variable, dependent variable) = (cans, balls)

Then the point (2, 6) corresponds to (2 cans, 6 balls).

The applicable descriptive statements are ...

  A.  2 cans contain 6 tennis balls

  D.  There are 6 tennis balls in 2 cans

i need help with answering this question -7/12 + 1/2 =

Answers

Answer:

[tex]-\frac{1}{12}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{-1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{-7}{12}[/tex] + [tex]\frac{1}{2\\}[/tex]

[tex]\frac{-1}{12}[/tex]

6/9, 5/7, 5/6,4/5 What is the lcm of this? Please, please, please help!

Answers

you calculate for the LCM of the denominator

9

7

6

5

which Thier Lcm is 630

PLEASE HELP QUICKLY ILL GIVE BRAINLIEST!!!

Answers

the answer is -5 8/9

Answer:

5.89

Step-by-step explanation:

convert the fraction to a decimal and you get 5.375 so 5.89 is the biggest

Can anyone give the answer for the question which i have attached .

Answers

Here you go, hope this helps. Don’t mind the water droplets, accidentally topped my bottle over.

If m=2 and n=4 Then what m+m?

Answers

Answer:

4

Step-by-step explanation:

The answer is 4 because if m = 2 then 2 + 2 = 4

ax + by = c
To solve each literal equation for the given variable

Answers

Answer:

Step-by-step explanation:

For a:

ax = c - by

a = (c - by)/x

For x:

ax = c - by

x = (c - by)/a

For b:

by = c - ax

b = (c - ax)/y

For y:

by = c - ax

y = (c - ax)/b

11> -13+6n Another solve for the inequality ?

Answers

The answer is 4 > n.

24 >6n

4 > n

Answer:

4>n

Step-by-step explanation:

11+13>6n

24>6n

4>n

What value of x with make the equation below true?
1/2 (2x + 8) = 3x + 8 - x


Please help

Answers

Answer:

 

Step-by-step explanation:

​1/2 (2x+8)=3x+8−x

Use the distributive property to multiply 1/2=0.5 by 2x+8.

1/2 x 2x+1/2x8=3x+8-x

Cancel out 2 and 2.

x+1/2 ×8=3x+8−x

Multiply 1/2 =0.5 and 8 to get  8/2=4.

x+8/2=3x+8−x

Divide 8 by 2 to get 4.

x+4=3x+8−x

Combine 3x and −x to get 2x.

x+4=2x+8

Subtract 2x from both sides.

x+4−2x=8

Combine x and −2x to get −x.

−x+4=8

Subtract 4 from both side

−x=4

Multiply both sides by −1.

x=−4

Jodi liked to collect stamps. On 3 different days, she bought 6 stamps. Then she decided to sell 4 of them. After that she bought 2 sets of 5 stamps. She figured out how many she had total, and then she divided that total into 3 groups to put into stamp books. How many did she put in each book?

Answers

Answer:

4

Step-by-step explanation:

6-4=2

2x5=10

10+2=12

12 divided by 3=4

She put 4 in each book.

Can someone help me solve this? ^^

Answers

Answer to a.

a. −14/15

solve 5p-1=9 by transposing method​ ? please help me friends....

Answers

Transposing means doing the same thing to each side to find an unknown value.

5p - 1 = 9

Add 1 to both sides.

5p = 10

Divide both sides by 5

p = 2

Answer:

2

Step-by-step explanation:

5p - 1 =9

5p =9 +1

5p =10

p=10 :5

p=2

OMG PLEASE HELPPPPP I NEED THIS TO BE TURNED IN , IN LIKE 10M

Answers

Answer:

use 5x for each question

Step-by-step explanation:

its says u should get 5x out of them

Choices are...
A)1120
B)2275
C)3500
D)2345
It's Side Splitter Theorem

Answers

Answer:

B

Step-by-step explanation:

The sections of the parallel roads split by the transversals are in proportion, that is

[tex]\frac{350}{300}[/tex] = [tex]\frac{first}{1650}[/tex] ( cross- multiply )

300 first = 577500 ( divide both sides by 300 )

first = 1925 ft

Thus

Elm st → Maple st = 1925 + 350 = 2275 ft → B

An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour. Round your answer to the nearest hundredth.

Answers

Answer:

its c

i took the quiz

Step-by-step explanation:

The speed in centimeters per hour is 0.2328 centimeters per hour.

Given,

An object is moving at a speed of 11 yards every 6 months.

We need to find this speed in centimeters per hour.

How many centimeters in one yard?

1 yard = 91.44 centimeters.

We have,

11 yards every 6 months

11 yard = 6 months

1 month = 30 days

1 day = 24 hours

30 days = 30 x 24 hours

30 days = 720 hours

1 month = 720 hours

6 months = 6 x 720 hours

6 months = 4320 hours

11 yards = 4320 hours

1 yard = 91.44 cm

11 x 91.44 cm = 4320 hours

1005.84 cm = 4320 hours

So,

we will find how many cm per hour.

if 1005.84 cm = 4320 hours then,

Dividing both sides by 4320.

1005.84/ 4320 cm = 4320/4320 hours

0.2328 cm = 1 hour

Rounding to the nearest hundredth.

0.23 cm = 1 hour

Thus the speed in centimeters per hour is 0.2328 centimeters per hour.

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Please Help!! 10 points! Brainliest answer

Answers

Answer:

Its letter B

Step-by-step explanation:

Seven more than the product of five and a number is 45.

Answers

Answer:

7+(5n)=45

n= 7.6

Step-by-step explanation:

simplify and solve each equation for the x

Answers

Answer:

19y - 7y = 1 + 4(x+2x)

y = 1/12 + x

x = y - 1/12

I hope this helps!

In need of assistanceeeee!

Answers

Answer:

300 mi

Step-by-step explanation:

set the equations equal to each other.

110+(.60x)=20+(.90x)

solve

90=0.30x

x=300

check

"substitute x"

both = $290

Answer:

300 mi

Step-by-step explanation:

Use elimination to solve and match each system of equations to the correct solution

9x+4y=-72
2x-3y=-16

Answers

Answer:

Step-by-step explanation:

27x + 12y = -216

8x - 12y = -64

35x = -280

x= -8

2(-8) - 3y = -16

-16 - 3y = -16

-3y = 0

y = 0

(-8, 0)

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