find 6 rational numbers between 3 and 4.​

Answers

Answer 1

Answer:

[tex] \frac{3 \times 10}{1 \times 10} [/tex]

And

[tex] \frac{4 \times 10}{1 \times 10} [/tex]

[tex] = \frac{30}{10} \: and \: \frac{40}{10} [/tex]

[tex] \frac{31}{10} \frac{32}{10} \frac{33}{10} \frac{34}{10} \frac{35}{10} \: and \: \frac{36}{10} [/tex]

Step-by-step explanation:

these are the six rational numbers between 3 and 4

Answer 2

Answer:

[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}[/tex]

Step-by-step explanation:

Write 3 and 4 as rational numbers with a common denominator.

Common denominator = common multiple = 12

[tex]\implies 3=\dfrac{3 \times 12}{12}=\dfrac{36}{12}[/tex]

[tex]\implies 4=\dfrac{4 \times 12}{12}=\dfrac{48}{12}[/tex]

Therefore, the rational numbers between them with a denominator of 12 are:

[tex]\dfrac{37}{12}, \dfrac{38}{12}, \dfrac{39}{12}, \dfrac{40}{12}, \dfrac{41}{12}, \dfrac{42}{12}, \dfrac{43}{12}, \dfrac{44}{12}, \dfrac{45}{12}, \dfrac{46}{12}, \dfrac{47}{12}[/tex]

Reduced to their simplest form:

[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}, \dfrac{43}{12}, \dfrac{11}{3}\dfrac{15}{4}, \dfrac{23}{6}, \dfrac{47}{12}[/tex]

**There are many, many more rational numbers between 3 and 4 that we could find by changing the denominator**


Related Questions

3.873... express in p/q form

Answers

387/100
p/q formula

The theorem states that each rational solution x = p⁄q, written in lowest terms so that p and q are relatively prime, satisfies: p is an integer factor of the constant term a0, and.

WILL GIVE BRAINLIEST
What is a basic definition of wind?

Question 4 options:

Air that is moving below 60 mph.


Air that is moving above 15 mph.


Air that s moving primarily in a vertical direction.


Air that is moving primarily in a horizontal direction.

Answers

Answer:

Air that is moving primarily in a horizontal direction.

Answer:

Wind is the movement of air horizontally.

Graph the function using the graphing calculator. find the least positive value of t at which the pendulum is in the center. t = sec to the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.

Answers

The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24

The graph of the function

The function is given as:

y = 6cos(πt)

See attachment for the graph of the function

The least positive value of t

The value of t is given as: -0.5

From the attached graph, the smallest value of the function when t = -0.5 is 0.

Hence, the least value of the function at which the pendulum is in the center is 0.

The position of the pendulum when t = 4.25 sec.

We have:

y = 6cos(πt)

Substitute 4.25 for t

y = 6cos(4.25π)

Evaluate

y = 4.24

Hence, the position of the pendulum when t = 4.25 sec. is 4.24

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Read more about cosine function at:

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Answer:

t = 6

next one is 5

Step-by-step explanation:

~Hope this helps! :)

A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?

Answers

Answer:

6x=46.50

Step-by-step explanation:

Please help MATH!!!!!?

Answers

Answer:

A, C

Step-by-step explanation:

In experimental studies, we follow a logical method to arrive at a conclusion. Arrange the given steps in the correct sequence.

Answers

Answer:

state the problem

ask relevant questions

perform an experiment to collect data

compare with the baseline value of the control group

arrive at a logical conclusion

make a hypothesis

what is the value of the expression below 2816 * 7

Answers

Answer: 19,712

Step-by-step explanation: 2816 times 7 = 19712

Answer:

19,712

With multiplication, you have to follow 4 easy steps to get your answer, as listed below.Count the number of decimal places in both the multiplicand, and the multiplier.Remember to ignore decimals, you need to right align the numbers one on top of the other as if they were integers.Multiply the numbers using long multiplication, an algorithm.Make sure to insert a decimal point into the product, your final result, so that it has the same number of decimal places equal to the total of decimal places from step 1.

________________________________________________________

What have we learned?

We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.

Questions?

Ask me in the comments box.

PLEASE HELP. WILL GIVE BRAINLIEST !! Find the cross product <-1, -3, -8> x <7,4, -5>. Is the resulting vector perpendicular to the given vectors?
<47, -61, 71>; yes
<41, -59, 77>; no
<-59, 71, 41>; yes
<41, -61, -59>; no

Answers

Answer:

Answer:

The cross product is 47 i - 61 j + 17 k.

Step-by-step explanation:

Given that-

a = < -1, -3, -8 > , b = < 7, 4, -5 >

The cross product is

a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤

        = i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )

        = i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )

        = i ( 47) - j (61 ) + k (17)

        = 47 i -61 j + 17 k

As we know that if two vectors A & B are perpendicular then

A . B = 0

So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .

Step-by-step explanation:

47, -61, 71>; yes

a scientist plans to study exotic birds in the rain forest. the helicopter flight to and from the rain forest costs$499. supplies costs $122 for each day. how many days can the scientist spend in the rain forest on $1,283 budget ?

Answers

Answer:

The scientist would be able to go to the rain forest for only 2 days.

Step-by-step explanation:

The scientist only has 1,283. You subtract 1,283 by 122 and 499 and you are left with 662. The scientist wants to go to the rain forest again so he spends 122 and 499 with 662. All he has left now is 41. He can't afford it anymore.

HELP! Amber was asked to solve the following inequality and show all of her work. She made an error when solving.

2x − 3.5 ≥ 10.5

2x − 3.5 − 3.5 ≥ 10.5 − 3.5

2x ≥ 7

2x ≥ 7(2)

x ≥ 14

- A description of what Amber did wrong and what he should have done instead
- Your work solving the inequality

Answers

Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.

Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]

In a times table test, Mr. Dolan's students score 21, 25, 17, 23, 25, 21, 27, 21, and 18 out of a total of 35. Find the measures of center and then type a numerical answer only in spaces below. mean = median = mode =​

Answers

The measures of center of the students score are:

Mean = 22

Median = 21

Mode = 21

What are Measures of Center?

Measures of center of a data distribution are the mean, median, and mode.

Given the data, 21, 25, 17, 23, 25, 21, 27, 21, 18:

Mean = sum of all data values / number of data values = 198/9 = 22

Median = the middle value in the ordered data set = 21

Mode = the most appeared data value = 21 (appeared 3 times)

Learn more about the measures of center on:

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Aluminum can have a capacity of 2.32 L. How many milliliters of soup can it hold? Helpfull tip (1 L = 1,000 mL)

Answers

Answer:

2320 mL

Step-by-step explanation:

Convert the volume from L to mL according to capacity of the can.

2.32 L = 2.32 * 1000 mL = 2320 mL

Answer:

2320 milliliters

Step-by-step explanation:

1 liter = 1000 milliliters

If the can has a capacity of 2.32 liters, then to calculate how many milliliters it can hold, we need to multiply it by 1000:

⇒ 2.32 liters = 2.32 × 1000

                     = 2320 milliliters

**To multiply a number by 1000, simply move the decimal point 3 places to the right**

Which of the following statements about AB and AC is true?
C44)
A(-11)
-5
3
3 4 5
BIO4)
A. AB and AC are the same length
B. AC is longer than AB
OC. AB is longer than AC.
D. AC is 6 units lona.
PREVIOUS

Answers

Answer:

C. AB is longer than AC

Step-by-step explanation:

Using the distance formula, find the lengths of both AC and AB.

d=√((x_2-x_1)²+(y_2-y_1)²)

find the value of x by factoring x^2-9x-36=0

Answers

(x+12)(x-3) Try this answer hopefully it is correct.

Determine the perimeter

Answers

Answer:

139

Step-by-step explanation:

14+14+28+33+33+17 = 139

Answer: 150 feet

Step-by-step explanation:

bottom blank = top sides added

bottom blank = 14 + 33 = 47

missing right piece is left side and right side subtracted

missing right piece = 28 - 17 = 11

add all sides

28 + 14 + 11 + 33 + 17 +47 = 150

150 feet = perimeter

Find the volume of the rectangular prism

Answers

Answer:

336

Step-by-step explanation:

V=whl=8·7·6=336

Calculatep the perimeter of the figure

Answers

Answer:

76 m

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

First of all, we know all of the sides already except for two, so we need to find them. (The side on the very left and top).

The side on the very top is 18 since the top and bottom are the same lengths. This also implies to the side on the very left. The sides (4+4+4) is equivalent to the side we are trying to find. We now know it is 12.

Second, to find the perimeter of almost every shape, we add all of the sides together.

18+4+8+4+8+4+18+12

This gives the answer of 76 m. (don't forget the label!)

A rectangle that measures 1 foot by 5 feet.
What is the perimeter of the rectangle?

5 feet
6 feet
12 feet
36 feet

Answers

Answer:

C. 12 feet

Step-by-step explanation:

If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.

Adding all of the side lengths will give us the perimeter.

1 + 5 + 1 + 5 = 12

hope this helps :)

=
2) Solve the system 2x + 5y = 7 and 3x + 4y = 6 by elimination. Which
procedure produces opposite terms to eliminate x? Include proper
justification

Explain step by step

Answers

Answer:

I'd times the first equation by 3 and the second equation by 2. Giving:

6x + 15y = 21

6x + 8y = 12

then I'd subtract the second from the first

6x-6x + 15y-8y = 21-12

7y = 9

y = 7/9

then sub y into one of the equations and solve for x.

Answer:

Step-by-step explanation:

Solving simultanius equation by elimination

2x + 5y = 7 -------------(I)

3x + 4y = 6 ---------------(II)

To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.

(I) *(-3)             -6x  - 15y = -21

(II)*2                 6x +  8y  = 12    {Now add}              

                               - 7y  = -9

                                   y = -9/-7

y = 9/7        

A circle with center O(3,3)O(3,3) contains the point A(-1,14)A(−1,14).



Write a subtraction expression for each length OF AB and ABAB:

Answers

The equation for the subtraction of length of AB is -3-(-14)

How to calculate the distance between two points:

The distance between two points is the measure of the distance covered by an object.

From the given diagram, we are to find the distance between the point A and B. Since the x-coordinate are equal, hence:

AB = y2 - y1
AB= -3 - (-14)

AB = 11 units

Hence the equation for the subtraction of length of AB is -3-(-14)

Learn more on distance here: https://brainly.com/question/24775607


x^4+ 4x² – 45 =0
factored form (x² - 5)(x² +9)=0


does anyone know how to solve this?

Answers

Answer:

[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]

pls help me to answer this​

Answers

Answer:

225

135

450

270

6750

all the answers

The point B is at the centre of the circle. The points P and Q are on the circumference of the circle. Calculate the area of the shaded sector. Take it to be 3.142 in your working. Give your final answer to 1 decimal place. ​

Answers

Answer: 24.7 square cm

Step-by-step explanation:

pls help, photo below. will give brainliest

Answers

Your bottoms row is
5 22 34 68 ur band

Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?A. Sue


B. They paid the same amount per ounce.


C. Sarah
(Will mark brainliest and pls fast)

Answers

Answer:

The answer is Sue or B

Step-by-step explanation:

Sue Paid : 0.12 per ounce when divided

Sarah Paid 0.13 per ounce when divided

Answer:

C, Sarah paid less

Step-by-step explanation:

3.84/32 = 0.12

5.20/40 = 0.13

Sarah paid less per ounce.

I need help on number 16 these instructions say to solve these equations by cross multiplying

Answers

Answer:

  15.  x = 4

  16.  a = 19

Step-by-step explanation:

"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."

__

15.

  [tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]

This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:

  x = 6(2/3) = 4

That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.

__

16.

  [tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]

Solve the following inequality

Answers

Answer:

14<x<20

Step-by-step explanation:

14<x<20 is your required answer

If x is directly proportional to y, and x = 4.5 when y = 3, find

(i) an equation connecting x and y

(ii) the value of x when y = 6,

(iii) the value of y when x = 12.

Answers

Answer:

1. don't know what you want for the first one but..

2. x=9

3. y= 8

Step-by-step explanation:

x = 1.5y

ex y=2 x=2

HELP please! I need Help. Pre-calc. I'm not sure how to solve this. 50 Points! Please It will be appreciated.
An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?

Group of answer choices

A. 17 inches by 9 inches

B. 17 inches by 8 inches

C. 15 inches by 8 inches

D. 15 inches by 9 inches

Answers

[tex]\large{\mathcal{QUESTION:}}[/tex]

An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?

[tex]\large{\mathcal{ANSWER:}}[/tex]

B. 17 inches by 8 inches

The minimum dimensions needed for the sheet of glass are B. 17 inches by 8 inches

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that elliptical mirror has an eccentricity of 0.8.

Since the mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass,

We can conclude that the minimum dimensions needed for the sheet of glass could be;

17 inches by 8 inches

Learn more about the area;

https://brainly.com/question/1658516

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Locate root 9.8 on number line

Answers

Answer: See attached

Step-by-step explanation:

    "Root 9.8" means the square root of 9.8, [tex]\sqrt{9.8}[/tex].

    Since we are being asked to find it on the number line, I am guessing they want us to estimate. We know that the square root of 9, [tex]\sqrt{9}[/tex], is equal to 3. Since 9.8 is slightly bigger than 9, the square root of 9.8 will be a little bit over 3.

   

   Want to confirm? Using a calculator for the square root of 9.8 gives us 3.13.

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