The numbers 1.444 and 1.555 are both rational numbers. Which of the following is an irrational number that is between these two rational​ numbers? Use pencil and paper. Show why there has to be an irrational number between any two rational numbers. 2.445444... 1.554555... 1.445 1.445444 A. 1.554555 B.1.445 C.2.445444 D.1.445444

Answers

Answer 1

Answer:A.) 1.554555

D.)1.554555 are irrational numbers.

Step-by-step explanation:

Answer 2

A. 1.554555 and D. 1.445444 both are an irrational number that lies between the numbers 1.444 and 1.555. Options A and D are correct.

Given  that,
The numbers 1.444 and 1.555 are both rational numbers. Which of the following is an irrational number that is between these two rational​ numbers is to be determined.

What is a rational number?

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

Here,
A. 1.554555 - irrational         B.1.445  - rational  
C. 2.445444 - rational            D.1.445444 - irrational

Thus, A. 1.554555 and D. 1.445444 both are irrational number that lies between the numbers 1.444 and 1.555. Options A and D are correct.

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Related Questions

A little hard! anyone helping hand​

Answers

Answer: D is the answer

Step-by-step explanation:

Answer:

14,000    43,043     143,341    341,143

Step-by-step explanation:

Teresa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Answers

Answer:

She would run about 5.8 miles in 64 min.

Step-by-step explanation:

Let m= miles per minute

7=80m divide 80 on both sides.

0.0875=m Round

0.09 miles per minute

0.09 x 64= 5.76 round or leave it like that

5.8

Answer:

[tex]\boxed {\tt 5.6 \ miles}[/tex]

Step-by-step explanation:

Let's set up a proportion using the following setup:

[tex]\frac{miles}{minutes}= \frac{miles}{minutes}[/tex]

We know Teresa can run 7 miles in 80 minutes.

[tex]\frac{7 \ miles}{80 \ minutes}=\frac{miles}{minutes}[/tex]

We don't know how many miles she can run in 64 minutes. Therefore, she can run x miles in 64 minutes.

[tex]\frac{7 \ miles}{80 \ minutes}=\frac{x \ miles}{64 \ minutes}[/tex]

[tex]\frac{7}{80} =\frac{x}{64}[/tex]

We want to solve for x ( miles in 64 minutes). We must isolate x on one side of the proportion. x is being divided by 64 and the inverse of division is multiplication. Multiply both sides of the equation by 64.

[tex]64*\frac{7}{80} =\frac{x}{64}*64[/tex]

[tex]64*\frac{7}{80} =x[/tex]

[tex]64*0.0875=x[/tex]

[tex]5.6=x[/tex]

x= 5.6 miles

Teresa can run 5.6 miles in 64 minutes.

Lucia drew a net for the design of her art project. Which term best describes the three-
dimensional shape that Lucia is designing?

Answers

Answer:

Triangular Prism

Step-by-step explanation:

Given

The sketch in the attached diagram

Required

Determine the shape it represents

Analyzing the options 1 after the other

Triangular Prism:

This has 5 sides; 2 of which are triangles while the other are rectangles

Rectangular Prism

This, in other words represents a cuboid

Triangular Pyramid

This has 4 sides, all of which are triangles

Rectangular Pyramid

This has 5 sides; 4 of which are triangles while the last is a square of rectangle.

From the analysis above, the best option that answers the question is The Triangular Prism because it perfectly describes Lucia's drawing

The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs $3.99 per bottle. Older kittens need wet cat food which costs $1.50 per can.

Answers

Answer:

ow much money (before tax) will the humane society spend if they buy 30 bottles of kitten formula and 120 cans of wet food ?

PART C) if you add 7% sales tax to the purchase of the bottles of kitten formula and cans of wet cat food , how would the algebraic expression used in parts A and B change

Step-by-step explanation:

Answer:

ow much money (before tax) will the humane society spend if they buy 30 bottles of kitten formula and 120 cans of wet food ?

Step-by-step explanation:

ANSWER FAST! Which expression is equivalent to 7^3•7-^5

Answers

7^3x7^-5

7x7x7=343

-7x-7x-7x-7x-7=-16807

343x-16807

-5764801

hope it helps!

if not, sorry...

-15 - 8y = -1
algebra homework

Answers

-4y=-7


you subtract fifteen from both sides then simplify by -2

Answer:

y= -7/4

Demical: y= - 1.75

Step-by-step explanation:

Add 15 to both sides

-15 - 8y + 15= -1 + 15

Simplify

-8y = 14

Divide both sides by -8

-8y/-8 = 14/-8

Simplify

y= -7/4

. How many digits are there in the repeating block for the decimal equivalent of 3/7?

Answers

Answer:

42857142857

Step-by-step explanation:

3/7 = 0.42857142857...

Which graph does not represent a function

Answers

Answer:

When two or more y values go into one x value.

Step-by-step explanation:

X. Y

3—4 and also 10

What is the distance between points (2,3) and (7.0) to the nearest tenth?

Answers

Answer:

5.1 rounded to the nearest tenth

Step-by-step explanation:

What percent of 56 is 44.8

Answers

Answer:

80%

Step-by-step explanation:

1. We assume, that the number 56 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 56, so we can write it down as 100%=56.

4. We know, that x% equals 44.8 of the output value, so we can write it down as x%=44.8.

5. Now we have two simple equations:

1) 100%=56

2) x%=44.8

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=56/44.8

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.8 is what percent of 56

100%/x%=56/44.8

(100/x)*x=(56/44.8)*x       - we multiply both sides of the equation by x

100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

now we have:

44.8 is 80% of 56

Answer:

Hi there!!

Your answer is:

44.8 is 80% of 56!

Step-by-step explanation:

56 = 100%

/56

1 = 1 &11/14

×44.8

44.8 = 80%

I hope this helps!

The difference of two numbers is 5. The sum of three times the larger number and twice the smaller number is 30. What is the smaller number?

Answers

Answer: 3

Step-by-step explanation:

Let the smaller number be y.

Since the difference of two numbers is 5,then the larger number will be: y+5

The sum of three times the larger number and twice the smaller number is 30. This can be written as:

3(y+5) + 2y = 30

3y + 15 + 2y = 30

5y + 15 = 30

5y = 30 - 15

5y = 15

y = 15/5

y = 3

The smaller number is 3

which of the following is equivalent to √52? A.9√6 B.3√9 C.3√6 D.2√27​

Answers

Answer:

Step-by-step explanation:

D

the answer is d hope it helped!

When full, one of the pools at Sapphire Island will hold 43,000 gallons. The pool currently holds 20,000 gallons of water and is being filled at a rate of 130 gallons per minute. Write and solve an equation that can be used to find h, the number of hours it will take to fill the pool from its current level.

Answers

Answer:  Explanation and answer is attached.

Step-by-step explanation:

Which is the graph of y = (x – 1)4 – 3?

Answers

Answer:A

Step-by-step explanation:

The graph of the given function  y = (x – 1)4 – 3 is attached below.

How do we make graph of a function?

Suppose the considered function whose graph is to be made is; f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values; f(x) are plotted on the vertical axis.

They are together plotted on the point

(x,y) = (x, f(x))

This is why we usually write the functions as:

y = f(x)

The given function is  y = (x – 1)4 – 3

The graph of the given function is attached below.

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Solve for n. Make sure to show all your work. {10}{8}={6}{n-7}

Answers

Answer:

20 1/3

Step-by-step explanation:

(10*8=80)=(6*[20 1/3-7])

American eat an average of 100 acres of pizza per year this is equivalent to 4,356,000 square feet of pizza per year how is area express using scientific notation

Answers

Answer:

4.356 × 10⁶ square feet or 4.356 × 10⁶ ft² of pizza per year

Step-by-step explanation:

Scientific notation is a means, method or way that is used in mathematics to write very large or small real numbers in a very short form or compressed form.

Scientific notation uses exponents or 10 raised to the power of a particular number to write huge or small real number in a decimal form.

In the question, we are asked to express the area in square feet as a scientific notation.

The area = 4,356,000 square feet of pizza per year

4,356,000 square feet of pizza per year in scientific notation =

4.356 × 10⁶ square feet of pizza per year.

Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail?

x + y = 90
5x – 10y = 90
90 – 10y = 5x
90 + 10y = 5x
Which shows the correct solution of the equation, when ?

Answers

Answer: 5x-10y=90

Step-by-step explanation:

Answer:

Answer: 5x-10y=90

Step-by-step explanation:


What is the difference between defined and undefined terms?

Answers

Answer:

An undefined term is a term that can't be defined so easily. There really isn't a definition to define such terms. Consider the word "the." We use the word "the" all of the time, but do we really know how to define the word "the?" "Am" is another word that can't be defined so easily.

Answer:

defined is something that is described or already known and undefined is something that's is unknown

find the difference 58.84 - 2.78​

Answers

Answer:

56.06

Step-by-step explanation:

 58.84

--  2.78

______

 56.06

I don't really know how else to explain this, but there ya go! Goodluck on your test or whatever you're doing! Stay safe ♥♥♥

The difference between the given decimal numbers is 56.06.

The given decimal numbers are 58.84 and 2.78​.

We need to find the difference between the given decimal numbers.

How to find the difference between the decimal numbers?

To subtract decimals, begin by writing the numbers in a column, with the decimal points aligned. If necessary, add zeroes as placeholders to make sure there are values in each column. Subtract from right to left. Write the decimal point in the difference directly below the decimal point in the subtrahend.

Now, 58.84 - 2.78​=56.06

Therefore, the difference between the given decimal numbers is 56.06.

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What did Owen do wrong?

Answers

Answer:

I think he forget to use the square root

Please help and Thank you

Answers

Answer:

n+5>11

Step-by-step explanation:

> is greater than

< is less than

> with the line under it is greater than or equal to

<with the line under it is less than or equal to

I don’t get it ..............

Answers

Answer:

there is no question

Step-by-step explanation:

Answer:

same here my dude

Step-by-step explanation:

what is 7x + 6 +2x = 60 .​

Answers

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

[tex]7x + 6 + 2x = 60 \\9x + 6 = 60[/tex]

add [tex]-6[/tex] to both sides

[tex]9x + 6 - 6 = 60 - 6 \\9x = 54[/tex]

Divide both sides by [tex]9[/tex]

[tex]\frac{9x}{9} = \frac{54}{9}[/tex]

[tex]x = 6[/tex]

Need help... Solve this Word Problem

S is a three digit number.
Determine the digits of S from the clues.

All the digits are odd.
The last two digits add to make ten.
The first and last digits add to make eight.
The first two digits add to make twelve.

Answers

y+z=10

x+z=8

x+y=12

(y+z)-(x+z)=10-8

y-x=2

y-x=2

y+x=12

solve simultaneously

x=5, y=7

then substitute to get z=3

hence xyz=573

A circular pool has a diameter of 16 meters. What is the area and circumference of the pool? Circumference: 50.24 meters; Area: 200.96 square meters Circumference: 50.24 meters; Area: 803.84 square meters Circumference: 100.48 meters; Area: 200.96 square meters Circumference: 100.48 meters; Area: 803.84 square meters

Answers

Step-by-step explanation:

Circumference = πD

= 16π

= 50.265482457437

Area =

π( D )2

2

= 64π

= 201.06192982975

The Circumference of the circle is 50.24 meters and The area of the circle is 200.96 meters.

What is the Circumference of a Circle?

A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length. A circle is a closed, rounded shape whose border points are all equally spaced out from the center. The diameter and area of a circle are two crucial measurements of a circle.

What is the Area of a Circle?
The space a circle takes up on a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = r×r×pi, where r is the circle's radius, is the formula for calculating a circle's surface area.

So, here in the question, It is given that:

The diameter of the circle (d) = 16 meters

and we know that the Radius of a circle is half of the diameter.

That is,

[tex]d = 2r[/tex]

⇒[tex]r = \frac{16}{2}[/tex]

⇒[tex]r = 8 m[/tex]

So,

Circumference of the circle = 2πr

Circumference = 2×3.14×8

Circumference = 50.24 meters.

And, Area of the circle = π×r×r

Area = 3.14×8×8

Area = 200.96

Hence,

Circumference of the circle = 50.24 meters;

Area of the circle = 200.96 meters;

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Benito wrote the equations shown about the figure to the right. Explain Benito's errors.

Answers

Answer:Benito used equals signs when he should have used congruency symbols

Step-by-step explanation:

Mara is building a set of shelves supported by a diagonal brace, as shown in the diagram. Answer the questions to decide whether all three shelves are parallel. 1. If ∠2 measures 120°, what is the measure of ∠1? Explain how you found the measure of ∠1. (The image) Write your answer in the space below. 2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are ∠1 and ∠5? Write your answer in the space below. 3. Use the relationship between ∠1 and ∠5 to decide whether the top and middle shelves are parallel. Write your answer in the space below. 4. Is the bottom shelf parallel to the top shelf? Explain. Write your answer in the space below. 5. Is the bottom shelf parallel to the middle shelf? Explain. Write your answer in the space below.

Answers

Answer:

Step-by-step explanation:

1). Since, m∠1 + m∠2 = 180° [Supplementary angles]

   If m∠2 = 120°

   m∠1 + 120° = 180°

   m∠1 = 180° - 120°

   m∠1 = 60°

2). If a transversal intersects two parallel lines on the top and middle,

   ∠1 and ∠5 will be corresponding angles.

3). Since, m∠1 = m∠5 = 60° (Corresponding angles)

   Therefore, both the lines on top and middle will be parallel.

4). Since, m∠9 + m∠11 = 180° [Supplementary angles]

   If m∠11 = 120°

   m∠9 + 120° = 180°

   m∠9 = 60°

   Since, m∠1 = m∠9 = 60° [Corresponding angles]

   Therefore, both the lines on the top and bottom shelves will be parallel.

5). Since, m∠5 = m∠9 = 60° [Corresponding angles]

    Therefore, middle and bottom shelves will be parallel.

Please solve 5q+6=2q-2+q.

Answers

Answer:

q= -4

Step-by-step explanation:

[tex]5q + 6 = 2 q- 2 + q[/tex]

Collect like terms and simplify

[tex]5q - 2q - q = - 2 - 6 \\ 2q = - 8[/tex]

Divide both sides of the equation by 2

[tex] \frac{2q}{2} = \frac{ - 8}{2} \\ [/tex]

Simplify

[tex]q = - 4[/tex]

The requried solution to the equation 5q + 6 = 2q - 2 + q is q = -4.

To solve the equation 5q + 6 = 2q - 2 + q, we need to simplify and combine like terms. Let's proceed step by step:

First, let's combine the q terms on the right side of the equation:

5q + 6 = 2q - 2 + q

Combining the q terms on the right side, we have:

5q + 6 = 3q - 2

Next, let's isolate the q term by moving all other terms to the opposite side:

To move the 3q term to the left side, we subtract 3q from both sides:

5q - 3q + 6 = -2

Simplifying the left side:

2q + 6 = -2

Next, let's isolate the constant term by moving 6 to the right side:

Subtracting 6 from both sides:

2q = -2 - 6

2q = -8

Finally, to solve for q, divide both sides by 2:

q = -8/2

q = -4

Therefore, the solution to the equation 5q + 6 = 2q - 2 + q is q = -4.

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what is 129.444... rounded to the nearest whole number?

Answers

Answer:

It is 129

Step-by-step explanation:

Since all the digits in the decimal from right to left are less than 5, they all are nearest to 0

So 129.444 can be rounded to 129.000 or 129

please help!! 60 points

Answers

Answer:

what your qution

Step-by-step explanation:

It J.I. ssgkcluemgsjfskgdlhhdkgsykxkgzgksktzktdly
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