Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3, 4, or 5, such that no digit can be used more than once and that the two rational numbers are the greatest distance apart on the number line. Explain how you got this answer.

Answers

Answer 1

Answer:

Following are the solution to this question:

Step-by-step explanation:

Let [tex]\frac{a}{b} \ \ and \ \ \frac{c}{d}[/tex] both are the rationalnumbers and for both numbers there is not a greatest distance. so, the value [tex]\frac{c}{d}[/tex]  must have greatest for the value [tex]\frac{c}{d}[/tex] and the c is maximum and d is minimum.

if c= 5 and d=2

[tex]\to \frac{c}{d} = \frac{5}{2}=2.5[/tex]

Similarly:

[tex]\to \frac{a}{b}[/tex]

a=3 and b=4

[tex]\to \frac{a}{b}=\frac{3}{4} = 0.75[/tex]

so, the [tex]\frac{a}{b} \ \ and \ \ \frac{c}{d}[/tex]  is at the great distance.


Related Questions

43:39 Which two operations are needed to write the expression that represents "five less than the quotient of a number and three"? multiplication and subtraction division and subtraction multiplication and addition division and addition

Answers

Answer:

The expression that represents "five less than the quotient of a number and three"

Is X ÷ 3 = Quotient - 5

Therefore, the two operations are needed to write the expression is Division and Subtraction

Step-by-step explanation:

Which two operations are needed to write the expression that represents "five less than the quotient of a number and three"?

Quotient = Dividend ÷ Divisor

Let the number the represented by X

Hence:

The expression that represents "five less than the quotient of a number and three"

Is X ÷ 3 = Quotient - 5

Therefore, the two operations are needed to write the expression is Division and Subtraction

Answer:

B

Step-by-step explanation:

I took the unit test.

Find slope (-8, -15), (-2, 5)

Answers

Answer:

m=10/3

Step-by-step explanation:

If this helps plz give me brainliest :)

I think the answer is 23 to be honest

A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Six hundred feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. What is the maximum area?

Answers

Answer:

the smallest dimension = 100 ft

the largest dimension = 150 ft

Maximum Area = 15000 ft²

Step-by-step explanation:

let x represent length of one side and L represent length of adjacent side

so from the question

3x + 2L = 600

2L = 600 - 3x

L = (600 - 3x)/2

L = (600/2) - (3x/2)

L  = 300 - (3x/2)

now Area of rectangle = L × x

Area = (300 - (3x/2)) × x

Area = 300x - 3x²/2

now we differentiate with respect to x  and equate to 0 in other to find critical point

dA/dx ⇒ 300x/x - 3x²/x = 0

300 - 3x = 0

3x = 300

x = 300/3

x = 100

so we input value of x into our previous equation

Area = 300x - 3x²/2

= 300(100) - (3(100)²)/2

= 30000 - 15000

Area = 15000

also we input value of x in L = 300 - (3x/2)

L  = 300 - (3(100))/2)

L = 300 - 150

L = 150

Therefore

the smallest dimension = 100 ft

the largest dimension = 150 ft

Maximum Area = 15000 ft²

please help
will give brainlyest ​

Answers

Answer:

the answer is b

pls give brainliest

Step-by-step explanation:

You are going to open a certificate of deposit (CD) that earns simple interest. One bank offers an CD in which you must deposit 500 dollars for 3 years and 2% interest. Another bank offers a CD in which you deposit 250 dollars for 2 years with 3% interest. Which CD will earn more interest?

Answers

Answer:

i love this one 123465678891011121314

The case 1 (a certificate of deposit (CD) ) will earn more interest.

What is simple interest?

Simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period.

Given

Case 1:

Principal  p = $500

Time t = 3 years

Rate of interest r = 2%

Based on the given conditions

Simple Interest = [tex]\frac{prt}{100}[/tex]

= [tex]\frac{500(2)(3)}{100}[/tex]

= $30

Case 2:

Principal  p = $250

Time t = 2 years

Rate of interest r = 3%

Based on the given conditions

Simple Interest = [tex]\frac{prt}{100}[/tex]

= [tex]\frac{250(3)(2)}{100}[/tex]

= $15

The case 1 CD will earn more interest.

Find out more information about simple interest here

https://brainly.com/question/25663053

#SPJ3

A store has 5 rings and 9 bracelets for sale. If all 14 items sell, how much money will the store take in? Choose the correct answer and explanation. Bracelets cost $88. Rings cost $125. A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417 B. $1,427 9 × $88 = $802; 5 × $125 = $625; $802 + $625 = $1,427 C. $1,565 9 × $125 = $1,125; 5 × $88 = $440; $1,125 + $440 = $1,565 D. $2,982 5 + 9 = 14; $88 + $125 = $213; 14 × $213 = $2,982

Answers

Answer:

The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417.

Step-by-step explanation:

From the question,

A store has 5 rings and 9 bracelets for sale. If all 14 items sell, the amount of money the store will take in can be determined by summing up the total cost of the rings and the total cost of the bracelets.

First, we will determine the total cost of the rings

From the question, a ring cost $125

∴ 5 rings will cost 5 × $125

5 × $125 = $625

Hence, the total cost of the rings is $625

For the bracelets

From the question, a bracelet cost $88

∴ 9 bracelets will cost 9 × $88

9 × $88 = $792

Hence, the total cost of the bracelets is $792

The amount the store will take in will be $625 + $792 = $1417

Hence, if all 14 items sell, the amount of money the store will take in will be $1417.

The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417

Answer:

The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417.

Step-by-step explanation:

From the question,

A store has 5 rings and 9 bracelets for sale. If all 14 items sell, the amount of money the store will take in can be determined by summing up the total cost of the rings and the total cost of the bracelets.

First, we will determine the total cost of the rings

From the question, a ring cost $125

∴ 5 rings will cost 5 × $125

5 × $125 = $625

Hence, the total cost of the rings is $625

For the bracelets

From the question, a bracelet cost $88

∴ 9 bracelets will cost 9 × $88

9 × $88 = $792

Hence, the total cost of the bracelets is $792

The amount the store will take in will be $625 + $792 = $1417

Hence, if all 14 items sell, the amount of money the store will take in will be $1417.

The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417

Step-by-step explanation:

Solve for k. You may either explain each step of the process in the box below or attach a photo that shows your work in solving it.
4k + 13 = 3k + 5

Answers

it equals -8.

4k + 13 = 3k + 5

4k + 13 - 13 = 3k + 5 - 13

4k = 3k - 8

4 k  −  3 k  = 3k - 8 - 3k

k = -8

What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent. Can someone please work it out step by step thank you!

Answers

Students 15 & above by car = 98-18=80
Students 15& above by bus = 195-(80+65) = 50
% of students 15& above by bus = (50/195) x 100 = 25.6410%
Rounding off, 26%

Determine which equation below has a solution of x = 2.
A. 5x + 8 – 12x = -6x + 2x - 3
B. 6x + 4 – 12x = -10x + 18x - 3
C. 48-6 +x= -2x + x - 10
D. -3x - 8 + x = -4x + x - 10

Answers

Answer:

I am not sure, I might have did my math wrong. But..

Step-by-step explanation:

5(2)+8-12(2) = -6(2)-3

10+8-12=-12-3

6=-15

6(2)+4-12(2)=-10(2)+18(2)-3

12+4-24=-20+36-3

-8=13

48-6+2=-2(2)+2-10

44=-4+2-10

44=-12

-3(2)-8+2=-4(2)+2-10

-6-8+2=-8+2-10

-14+2=-6-10

-12=-16

Answer:

Step-by-step explanation:

A, B and C

Find the appropriate answer for each word problem.
a. A group of twelve art students are visiting a local art museum for a field trip. The total cost of admission for the
students is $125. What is the cost of admission for each student?
b. The school van can carry twelve passengers at a time. What is the least number of trips the van must make in order to
bring 125 passengers to the same location?
C. Charlotte and her mother
baked 125 cookies to give as Christmas gifts to their neighbors. If they plan to give a dozen
cookies to each neighbor, how many neighbors will receive a gift?
d. Nicholas and Elaine are planning to serve cheesecake for dessert at their wedding and have purchased twelve
cheesecakes. If the cheesecakes are divided evenly among the 125 wedding guests, how much cheesecake will each
guest recelve?


Please show your answer and explain how you got it! Thanks so much! Will give brainliest

Answers

Answer:

A:10.416 bar over the 6b:11c:10d:10.416 bar over the 6

Step-by-step explanation:

a: we have to do 125/12. This is equal to 10.4166666666666666666(with infinite 6's)

b:our equation is 125/12 rounded up. That is equal to 11.

c: If they give a dozen to each neighbor, the equation is 125/12 rounded down which is equal to 10.

d: the equation is 125/12 which is we have to do 125/12. This is equal to 10.4166666666666666666(with infinite 6's)

I can't figure out −5x+ 3 ≥ −72

Answers

Answer:

x ≤15

Step-by-step explanation:

-5x+ 3 ≥ −72

Subtract 3 on both sides

-5x+3-3≥ -72-3

(-5x)(-1) ≤(-75)(-1)

5x≤75   Divide by 5

x ≤15  

I hope its right

the temperature dropped 18 F over a 5-hour period of time. What was the constant temperature change per hour?

Answers

Answer:

it dropped 3.6 F each hour

Mary reduced the size of a triangle to a
height of 3 in. What is the new width if it
was originally 5 in wide and 15 in tall?

Answers

Answer:

1 in

Step-by-step explanation:

There were 9 roses in the vase. Sally cut some more roses from her flower garden. There are now 12 roses in the vase. How many roses did she cut?

Answers

She cut 3 more roses
She would’ve cute 3 more roses

9+3=12

What is a perfect square ​

Answers

Answer:

the product of a rational number multiplied by itself.

the product of a polynomial multiplied by itself.

Step-by-step explanation:


What is the difference between a population characteristic and a sample statistic?
engage

Answers

Answer: SEE EXPLANATION!

Step-by-step explanation:

Population Parameters versus Sample Statistics

A parameter is a value that describes a characteristic of an entire population, such as the population mean. ... A statistic is a characteristic of a sample. If you collect a sample and calculate the mean and standard deviation, these are sample statistics.

The difference between Population characteristic and Sample statistic is discussed below.

What is Statistic?

Statistics is a branch of applied mathematics that allows us to collect, describe and analyze the given set of data in order to make inference of conclusions on the given data set.

Given are two terms as population characteristic and a sample statistic.

Population characteristic refers to the characterization of various types of populations within a social or geographic group, with emphasis on demography, health status, and socio-economic factors. There are various characteristics of a population such as population size and density, populace spatial dissemination, age structures, birth rate or Natality and mortality rate.

Sample statistic represents the calculation that you measure from a subset of a larger group (the population).There are 5 types of sampling - Systematic, random, convenience, cluster and stratified.

Therefore, the difference between Population characteristic and Sample statistic is discussed above.

solve more questions on Statistics terms, visit the link below-https://brainly.com/question/12393177

#SPJ2

What is the rate of changes of the graph below?

Answers

Answer:

-1/2

Step-by-step explanation:

a and b are complimentary angles. if m a = (6x+29) and m b = (x-5) then find the value of a.

Answers

Answer:angle a is about 85.57°

Step-by-step explanation:

Since they are complimentary, their sum equals 90° (6x+29+x-5=90°). You use this equation to find the value of x, which is ~ 9.428. After finding the value of x you plug it back in into a’s equation to find the value of a.

Find the coordinates of J if M(-2, 1) is the midpoint of JL and L(-7, 2)

Answers

Answer:

J (3,0)

Step-by-step explanation:

boris added 8 fish to his pool each day for 64 days. what was the total change in the number of fish in the pond?

Answers

Answer:

512 fish

Step-by-step explanation:

The numbers are 24 carts to 30 boxes, 30 carts to 36 boxes, 36 carts to 42 boxes. What function does this show?

Answers

Answer: add 6

Step-by-step explanation:

The function is add 6 because we see

24 + 6 = 30

30 + 6 = 36

36 + 6 = 42

The answer to the question is add 6.

Answer:

the answer is 6

Step-by-step explanation:

Which situation results in a final value of zero?
А. The temperature after a decrease of 5°F from a temperature of -5°F.
B. The height of an airplane after taking off from ground level and rising 1,000 feet.
C. The amount of money received in change after making a $10 purchase with a
$20 bill.
D. The distance above sea level after increasing 24 meters from a depth of 24 meters
below sea level.

PLEASE ANSWER I WILL GIVE BRAINLIEST!!!

Answers

Answer:

ok

Step-by-step explanation:

What is the slope of the line that passes through the points (-10,8) and (-15,-7)

Answers

Answer:

3

Step-by-step explanation:

Use the formula y2-y1/x2-x1

Plug in the values (-7-8)/(-15-(-10))

-15/-5

3

Answer:

slope = m    ,  m = rise /  run     rise = change in y   run = change in x

Step-by-step explanation:

to find change in y just subtract the second y  from the first , like thus,

P1=(-10,8)  =  (X1,Y1)

P2=(-15,-7) = (X2,Y2)

-7-8=-15= change in Y

to find the change in X just subtract the second x from the first, like thus,

-15-(-10) = -15+10 = 5

m= -15/5

m=-3

it's a slope of negative 3...  make sense?

Simplify 12° (4 points) 127 O 124 1 124 1 124 O 1210​

Answers

Answer:

the answer is b

Step-by-step explanation:

because that problem would cause the 12 to have a negative exponent but to change that make the exponent positive with a one on top

What is the Ratio of dimes to pennies

Answers

Answer:

10 to 5

Step-by-step explanation:

Write the equation of the line in point - slope form .

Answers

Answer:

(-5,1)

Step-by-step explanation:


Coconuts were on sale, 4 for $4.44. Pineapples were on sale, 3 for $3,63. Which
of the following is true?
ОА.
1/6
Coconuts are 10¢ less each than pineapples,
Coconuts are 10¢ more each than pineapples,
B.
OC. Coconuts are each $1.21.
OD. Pineapples are each $1.11.

Answers

A. Coconuts are 10c less each than pineapples.

Answer:

The answer is Coconuts are 10 cents less than the pineapples.

Step-by-step explanation:

You had to find what each of them cost which was $1.11 for each coconuts and the pineapples were $1.21 each. Then you had to subtract to find the difference which was 10 cents. So since the pineapples were more, the answer was the coconuts were 10 cents less than the pineapples.

Coconuts:  $4.44 ÷ 4 = $1.11 each   Pineapple:  $3.63 ÷ 3 = $1.21 each

1.21 - 1.11 = 10 cents    

     

A school held several evening activities last month - a music concert, a basketball game, a drama play, and literacy night.  The music concert was attended by 250 people.  350 peolpe attended the drama play.

50% of the people who attended the drama play also attended the music concert.  What percentage of the people who attended the music concert also attended the drama play?​

Answers

Answer:

70% of the people attended the music concert also attended the drama play

Step-by-step explanation:

Drama:

50 x 350   = 175            

   100              

350 ÷ 2 (50%) = 175

50% (1/2) of 350 = 175

Music Concert:

175      x 100% = 70%

250

175 of 250 = 70%

70% of the people attended the music concert also attended the drama play

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A school held several evening activities last month - a music concert, a basketball game, a drama play, and literacy night

The music concert was attended by 250 people

350 people attended the drama play.

50% of the people who attended the drama play also attended the music concert.

350/2=175

We need to find the percentage of the people who attended the music concert also attended the drama play.

175/250 x 100 = 70%

Hence 70% of the people attended the music concert also attended the drama play

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Jane moved from a house with 54 square feet of closet space to an apartment with 37.26 square feet of closet space. What is the percentage decrease of Jane's closet space?

Answers

Answer:

37.26 div by 54=0.69

Step-by-step explanation:

(what is 2+2+2+2+2+1234)
Who here watches f1, and who is your fav driver

Answers

Answer:

1244

Step-by-step explanation:

Other Questions
Which measure is played after measure number 4 2. Niko was solving the equation 4(x-5)+7=13 and wrote as his first step 4x 20+7=13. Which of thefollowing justifies this manipulation?(1) the commutative property of multiplication(2) the distributive property(3) the multiplicative property of equality(4) the additive property of equality Rewrite the function by completing the square.f(x) = x 12x 29 What substances do each of the letters represent? Wis O2; X is H2O; Y is CO2; and Z is glucose.BW is H20; X is O2; Y is CO2; and Z is glucose.OCW is H20; X is O2; Y is glucose; and Z is CO2.DW is CO2; X is O2; Y is H20; and Z is glucose. x = ???? can yall please help a girl out hii please answer you should get 10 points. i don't understand this and rly need help What percent is represented by the shaded portion of this 10 x 10 grid?4%10040%10004%40% will give brainliest!!!!!!!the number of students taking algebra is 70 more than the number of students taking health. the number of students taking English is 50 few than twice the number of students taking health. if the number of students taking algebra is equivalent to the number of students taking English, how many students are taking health? write out equation Describe the shift in power that occurred in the Americas after the French and Indian War. HeLP plEASe Work out whether the verb is an -ER, -IR, or -AR verb then select the correct ending. NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY!!! (50 POINTS) NO COPY AND PASTEING PLEASE1. What is different when studying the text versus studying the data sets?2. How is the information the same? How is the information different? 3. Do you get more information from the text or the data? Why? 4. Which kinds of sources are difficult to study? Why? 5. Does one type of document tell the complete story on its own?6.What is most important to know about the Columbian Exchange and why? Determine when, to the nearest year, $4,000 invested at 5% per year, compounded daily, will be worth $10,000. yr GIVING BRAINLIEST WHENEVER THERE IS TWO ANSWERS!!! WILL CHOOSE BEST ONE!!!! Writers use perspective in their work, while artists do not. a sample o aluminum is put in 10.5 mL of water. if the water rises to 13.5 mL when the aluminum is added, what is the density of the aluminum if it has a mass of 8.1 g Question 1 of 10Submit Submit Send a messageHow do we know that the Egyptians had a big effect on the Phoenicians?A) Egyptians taught the Phoenicians how to weave textiles.B) Phoenicians wrote about how impressed they were with the Egyptians.C) Archaeological excavations show a strong relationship between the two cultures.D) The monetary system used by the Phoenicians was inspired by the Egyptians. Need help plz! Will give brainliest All of these elements are metals except? Please help its a long test Ive been at it for 2 hours There are 8 more girls than boys in a school play. The ratio of boys to girls is 5:7. How many boys and how many girls are in the play?