4 1/8÷2 3/4 convert the mixed numbers to improper fractions​

Answers

Answer 1

Answer:

Check picture

Step-by-step explanation:

4 1/82 3/4 Convert The Mixed Numbers To Improper Fractions
Answer 2

9514 1404 393

Answer:

  1 1/2

Step-by-step explanation:

  [tex]\dfrac{4\dfrac{1}{8}}{2\dfrac{3}{4}}=\dfrac{\left(\dfrac{4\cdot8+1}{8}\right)}{\left(\dfrac{2\cdot4+3}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{11}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{22}{8}\right)}=\dfrac{33}{22}=\dfrac{3}{2}[/tex]

Then the improper fraction 3/2 can be written as the mixed number 1 1/2.

  (4 1/8) / (2 3/4) = 1 1/2

_____

Comment on division of fractions

Fractions can be divided several ways. Two ways that are commonly taught are "invert and multiply", or "match denominators". Here, we have used the second of these methods.

If we were to "invert and multiply", the computation would be ...

  (33/8)(4/11) = (33/11)(4/8) = 3(1/2) = 3/2

Instead, we multiplied 11/4 by 2/2 to make it be 22/8, so having a denominator of 8 matching that of the numerator. Then the value of the compound fraction is the ratio of the numerators:

  (33/8)/(22/8) = 33/22 = (3/2)(11/11) = 3/2


Related Questions

When you reverse the digits in a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 9?

Answers

Answer:

72

Step-by-step explanation:

x+y=9 possible numbers

1 and 8

2 and 7

3 and 6

4 and 5

9 and 0

so

81-18=63

72-27=45 so this is the right number

63-36=27

54-45=9

90-9=81

A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?

Answers

Answer:

The probability that any given family who is selected has two or more children at home is 85%.

Step-by-step explanation:

The information provided is as follows:

Number of Children        Probability

             1                            0.15

             2                            0.65

          > 3                            0.20

Compute the probability that any given family who is selected has two or more children at home as follows:

P (At least 2 Children) = P (2 children) + P (More than 3 children)

                                   = 0.65 + 0.20

                                   = 0.85

Thus, the probability that any given family who is selected has two or more children at home is 85%.

Compare: -7 -4


PLEASE HELP ME!

Answers

-11? What do u mean compare

208+8x−718+2x SIMPLIFY PLEASE

Answers

926+10x

Explanation: Just add like variables

Answer:10x-510

Step-by-step explanation:

math

6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent?

Answers

7.75 I hope this helps

14/18 in decimal form

Answers

24/18 in decimal form is 0.778

Answer:

.77

Step-by-step explanation:

the 7 is repeating so you can put a dash above the second 7

Write the rational number as a decimal -4 2/3

Answers

Answer:

- 4.(6)

Step-by-step explanation:

Hi there !

- 4  2/3 =

= - 4  6/9

= - 4.(6)

Good luck !

can i plz plz get some help with this

Answers

Answer: -2/6 or -1/3

Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How
much money did she have left after buying the DVD?

Answers

$30

Work: 45+20=65

          65-35=30

How do you find what p is?

Answers

Answer:

p > -3

Step-by-step explanation:

This is an alternating p-series.  It is absolutely convergent if│an│converges.  1 / nᵖ⁺³ converges if the exponent is greater than 1.

p + 3 > 1

p > -2

The series is conditionally convergent if │an│diverges.  1 / nᵖ⁺³ diverges if the exponent is greater than 0 and less than or equal to 1.

0 < p + 3 ≤ 1

-3 < p ≤ -2

Combining these two, we get p > -3.

Find all complex solutions (real and non-real). (Enter your answers as a comma-separated list.) x3 8x2 21x 20

Answers

Answer:

The answer is "non-real solution: "i-3 and -i-3" and real solution is -2".

Step-by-step explanation:

In the given equation there is some mistype error so, its correct equation can be defined as follows:

Given value:

[tex]\bold{ f(x) = x^3+ 8x^2 +22x +20}[/tex]

use hit and trial method we put x value are -2:

 [tex]f(-2) = (-2)^3+ 8(-2)^2 +22(-2) +20\\\\[/tex]

            [tex]= -8 + 8 \times 4 +22 \times -2 +20\\\\= -8 + 32 -44 +20\\\\= -52 + 52\\\\=0[/tex]

So, the real solution to the equation is "-2".

In the above solution, we calculate the f(x) =-2 is its real solution. so, the calculation for non-real solution:

divide the value [tex]x^3+8x^2+ 22x +20[/tex] by ([tex]x+2[/tex]):

Quotient: [tex]x^2+6x+10[/tex]

Remainder: 0

[tex]\to x^2+6x+10 \\\\compare \ with \ ax^2+bx+c: \\\\a= 1\\b= 6\\c=10\\\\\bold{Formula:}\\\\\to D= b^2-4ac\\\\[/tex]

        [tex]= 6^2- 4 \times 1 \times 10\\\\ = 36- 40\\\\ = -4[/tex]

Formula for calculate non-real solution:

[tex]\bold{\frac{-b\pm \sqrt{D}}{2}}[/tex]

non-real solution: "i-3 and -i-3"

A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice?

Answers

3 i think i’m not sure tho if u add 2/5 until u get 1 3/5 that might help

Write each fraction as a percent. Use a model if needed. V-2
7/10

21/25

3/5

18/25​

Answers

7/10 = 70%
21/25 = 84%
3/5 = 60%
18/25 = 72%
7/10 is 70%
21/25 is 84%
3/5 is 60%
18/25 is 72%

7 – 0.2n = -0.8n + 10
What value of n makes this equation true?
Please helpp

Answers

The answer to the equation is [tex]n=5[/tex]

First, you must add 0.8n on both sides.

[tex]0.6n+7=10[/tex]

Then, subtract 7 from both sides.

[tex]0.6n=3[/tex]

Finally, divide both sides by 0.6

[tex]n=5[/tex]

What is 715 divided by 25 and what is 514 divided by 28?

Plsss help I really need it for my HW

Answers

Answer:

715 divided by 25 is 28.6, while 514 divided by 28 is 18.35. Hope this helps!

Step-by-step explanation:

When Alexander moved into a new house, he planted two trees in his backyard. At

the time of planting, Tree A was 36 inches tall and Tree B was 21 inches tall. Each

year thereafter, Tree A grew by 6 inches per year and Tree B grew by 9 inches per

year. Let A represent the height of Tree At years after being planted and let B

represent the height of Tree Bt years after being planted. Write an equation for each

situation, in terms of t, and determine which tree is taller after 3 years.

Answers

Answer:

The equations for each situation are

A = 36 + 6t

B = 21 + 9t

After 3 years, Tree A is taller.

Step-by-step explanation:

From the question,

Tree A was 36 inches tall and Tree B was 21 inches tall at the time of planting; and

Tree A grew by 6 inches per year and Tree B grew by 9 inches per  year after planting.

For Tree A,

Given a period of t years after planting, the height would have increased by 6t

A = 36 + 6t

For Tree B,

Given a period of t years after planting, the height would have increased by 9t

B = 21 + 9t

To determine, which tree is taller after 3 years,

t = 3

For Tree A

A = 36 + 6t

A = 36 + 6(3)

A = 36 + 18

A = 54 inches

For Tree B

B = 21 + 9t

B = 21 + 9(3)

B = 21 + 27

B = 48 inches

Hence, After 3 years, Tree A is taller.

Given f(x) = 5x + 1, find f(-3).
I need help ASAP

Answers

Answer:

take a look ...........

Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?

Answers

Answer:

x = amount of 100% acid solution (pure acid, no water)

y = amount of 10% acid solution (acid + water)

both amounts are in liters

Step-by-step explanation:

Jesse is driving to a town that is 210 miles away with a speed of 60 miles per hour. If he makes no stops, how long will the trip take?

Answers

Answer: The trip should take 3.5 hours.

Step-by-step explanation: To find the time, divide the distance by the rate. In this case, 210/60 = 3.5.

Answer:

3.5 hours or specifically, 3 hours and 30 minutes

Step-by-step explanation:

We know that the car can be driven 60 miles per hour. The goal is 210 miles. If you divide 210 miles by 60, the result is 3.5. The whole number 3 in 3.5 will represent the hours taken which means 3 hours. The 0.5 will also represent the minutes. 0.5 = 1/2, 1/2 of an hour = 30 minutes.

The base of a triangle is 12 inches greater than the height. If the area is 80 square inches, find the length of the base
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Because the area of a triangle you have to divide by 2 and then you get the area right so we multiply 80 x 2 = 160 is the area of the square which you divide by 2 but we are not going to do that. now we have to get 2 lengths with 12 difference so we have to just do trial and error method.

20 points & will give brainliest

Find the distance between (5,8) and (3,-1)

Answers

Answer:

root 85

decimal 9.21

slope 9/2

Step-by-step explanation:

didnt know which one you wanted fully

divide 25.84 divide by 4

Answers

i believe it is 6.46

Answer:

25.84 divide by 4 Is 6.46.

Analyzing a Linear Function Expressed in Different Ways Choose the true statements. A linear function is expressed by a graph of a line that crosses both axes at the origin. An equation is written in slope-intercept form to express the same function as shown in the graph. From just this information, what statements can be made? A) The slope of the equation must be positive. B)The y-intercept of the equation is zero. C) It is possible that the line on the graph is horizontal. D) The slope of the equation must be negative.​

Answers

Answer: The answer is option B and option C.

Answer:

B and C

Step-by-step explanation:

4 tens + 14 ones = 5 tens + ___ ones

Answers

Answer:

4 becuase 40+14 = 54 so 50+4= 54 too

Step-by-step explanation:

HOPE THIS  HELPS :)

Giving out brainlst to whoever can answer this

Answers

100 - 5d + 10d = 130

5 x 20 = 100
5 x -d = -5d

Susan's grandpa was fibbing again: "your grandma and I, together, we are over 150

years old!" If her grandpa is 71, and her grandma is 68, what's the real sum of their ages?

Answers

answer: 71 + 68 = 139
Answer:71.68

Easy as pie.

Just add em.

Making it.

71

+68

------

139

Meaning both of em are 139 years.

This also means they are not over 150.

A fast-food restaurant has a cost of production C(x)=12x+114 and a revenue function R(x)=6x. When does the company start to turn a profit?

Answers

Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

6x+114=0

6x=-114

x=-114/6

x=-19

Hence the company will start to run on proft when they start to produce above 19 items

Profit is the difference between the revenue and cost functions

A production greater than 19 will turn a profit

From the question, we have:

[tex]\mathbf{R(x) = 6x}[/tex]

[tex]\mathbf{C(x) = 12x + 114}[/tex]

So, the profit function is:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

Substitute known values

[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]

[tex]\mathbf{P(x) = - 6x - 114}[/tex]

Equate to 0

[tex]\mathbf{- 6x - 114 = 0}[/tex]

Collect like terms

[tex]\mathbf{- 6x= 114}[/tex]

Divide both sides by -6

[tex]\mathbf{x= -19}[/tex]

The above equation means that: A production greater than 19 will turn a profit

Read more about profit functions at:

https://brainly.com/question/16866047

Question 5
Here are four cards.
4 5 0.
Use each card once to make the largest number that is less than 10
Here are four cards.
4 5 0 .
Use each card once to make the largest number that is less than 10​

Answers

Answer:

9 by adding all the three cards

What is 3/4 ÷ 1/2 ?​

Answers

Answer: 3/4 divided by 1/2 is 1.5

Given z1 = StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) ) and z 2 = (Cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction Pi Over 2 EndFraction) ) , what is the value of z1 – z2?

cos(0) + isin(0)
cos(0) – isin(0)
cos(Pi) + isin(Pi)
cos(Pi) – isin(Pi)

Answers

Answer: C. cos(Pi) + isin(Pi)

Step-by-step explanation:

The value of subtraction of two given complex numbers z₁ and z₂ is cos(π) + isin(π).

What are complex numbers?

A complex number is an element of a number system that includes real numbers and a specific element labeled i sometimes known as the imaginary unit, and which obeys the equation i² = 1. Furthermore, every complex number can be written as a + bi, where a and b are both real values.

How to solve this problem?

We know that cos(π - x) = - cosx, sin(π - x) = sinx, cos(π/4) = 1/√2 = sin(π/4), cos(π/2) = 0, sin(π/2) = 1, cos(π) = - 1, sin(π) = 0.

Given that z₁ = √2[cos(3π/4) + isin(3π/4)] = √2[cos(π - π/4) + sin(π - π/4)] = √2[- cos(π/4) + sin(π/4)] = √2[- 1/√2 + 1/√2] = √2[0] = 0

and z₂ = cos(π/2) + isin(π/2) = 0 + i × 1 = 1

Now, z₁ - z₂ = 0 - 1 = - 1 = - 1 + i × 0 = cos(π) + isin(π)

Therefore, the value of subtraction of two given complex numbers z₁ and z₂ is cos(π) + isin(π).

Learn more about complex numbers here -

https://brainly.com/question/18643242

#SPJ2

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