How can you tell Without dividing that the first digit of the quotient 2874÷3 is in the hundreds place

How Can You Tell Without Dividing That The First Digit Of The Quotient 28743 Is In The Hundreds Place

Answers

Answer 1
The firs digit in 2874 is less than 3, so it cannot be divided by 3 and stay a number equal or greater than 1.

Related Questions

income of $40,000paid $ 8,800 in federal income taxes. What fraction shows how much my parents spent on their federal​ taxes?

Answers

Hello,

If you want to find the fraction that was spent on taxes, you should put the amount of taxes over the total amount.

You would have 8800/40000.

This fraction can be reduced to 22/100 or 11/50. It could also be written as 22%.

Best of luck,
MrEQ

10 POINTS PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!
A group of 7th and 8th graders were asked if they like playing tennis. This two-way frequency table shows the proportion of students from each grades that like or do not like playing tennis. Like playing tennis Do not like playing tennis 7th Grade 0.42 0.58 8th Grade 0.47 0.53 Which conclusions can be made from the table? Select each correct answer. For both grades, more students like playing tennis than did not like playing tennis. Among the 7th graders, more students like playing tennis than do not like playing tennis. The 8th graders have a larger percentage of students that do not like playing tennis than do like playing tennis. Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.

Answers

Well if the 7th graders like tennis more than the 8th graders
then the amount of 7th graders like tennis is .58
and the 8th graders is .47.
Let me know if I'm wrong 
Hope it helps

Answer:

The 8th graders have a larger % of students that do not like playing tennis than do like playing tennis

Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.

those are the correct answer

Step-by-step explanation:

I did the test proof VVV VVV VVV

What is the answers to this math worksheet ?

Answers

For #1 the median is 16

Find the value of x
A. 25
B. 32.5
C. 37.5
D.65

Answers

The smaller triangle and the bigger triangle are similar triangles. The corresponding angles in the similar triangle have the same measurement. That means (3x - 10) is equal to (x + 40)

Solve for x
3x - 10 = x + 40
3x - x = 40 + 10
2x = 50
  x = 50/2
  x = 25

The value of x is 25, first option

WHERE ARE ALL OF MY MATH GENIUSES AT!!!!!!!!
1.)
Factory workers test 80 batteries. Four batteries are defective. What is the experimental probability that a battery is defective?
2.)
Assume this trend continues. Predict the number of defective batteries in a batch of 1,600.
3.)
THERE ARE SIX OPEN CONTAINERS ARRANGED AS SHOWN. YOU TOSS A BALL AND IT FALLS INTO ONE OF THE CONTAINERS AT RANDOM. FIND EACH PROBABILITY. (ORDER OF NUMBERS IN A TRIANGLE: 123456)
P(number greater than 4)
P(even number)
P(4)
P(7)
4.)
a car comes in the colors and models listed in the table below. assume there is the same chance of selecting any color or model.
silver hatchback
gray coupe
black sedan
Give sample space
find the probability that a car selected at random is silver hatchback
find the probability that a car selected at random is yellow coupe
5.)
design a simulation that can be used to estimate the probability that a student will get at least 2 answers correct when guessing the answers to 3 true or false questions.
6.)
on average 9% of the packages delivered by a shipping company are late. use the random digits below as a simulation tool to estimate the probability that a customer can receive at least 4 packages without any being late. each row represents one trial.
63 13 02 41
51 44 40 60
25 63 84 11
71 81 32 79
72 39 13 75
10 85 99 93
59 70 00 68
51 64 94 08
91 71 39 95
70 27 23 61

Answers

nCr=8C2=28 coefficient

28*p^2*q^6=.2965



A 1 1/2-pound piece of turkey costs $7.98. A 6-ounce package of the same sliced turkey costs $2.49. What is the difference in price per 3-ounce serving?

Answers

The difference in price per 3-ounce serving package is $0.2475.

Price Per Serving Calculation

First, we need to determine the cost per 3-ounce serving for each type of turkey packaging. Since there are 16 ounces in 1 pound, a 1 1/2-pound piece of turkey is equivalent to 24 ounces.

Cost per ounce for the 1 1/2-pound turkey: $7.98 \/ 24 ounces = $0.3325 per ounce.

Cost per 3-ounce serving for the 1 1/2-pound turkey: $0.3325 x 3 = $0.9975.

The 6-ounce package costs $2.49, so:

Cost per ounce for the 6-ounce package: $2.49 \/ 6 ounces = $0.415 per ounce.

Cost per 3-ounce serving for the 6-ounce package: $0.415 x 3 = $1.245.

The difference in price per 3-ounce serving between the two types of turkey is: $1.245 - $0.9975 = $0.2475.

A square has a side length of 6.2 centimeters. What is the perimeter of the square

Answers

P=24.8cm good luck o hehee
6.2+6.2+6.2+6.2 sine a square has 4 sides it equals 24.8.

hat is the equation of the trend line for the bivariate data shown in the scatter plot? Scatter plot shows trend line for bivariate data with coordinates (0, 0), (2, 6).

Answers

Hello!

The trend line for the bivariate data shown in the scatter plot has the equation Y=3x

To determine the slope for a straight line (y=a*x+b)we take the two points that are shown and apply the following equation:

[tex]a= \frac{(y2-y1)}{(x2-x1)}= \frac{(6-0)}{(2-0)}=3 [/tex] 

To determine the intercept we put the slope which we calculated into the equation for the point (2,6) and clear for b

[tex]y=a*x+b \\ 6=3*2+b \\ 6=6+b \\ b=0[/tex]

So, the slope is 3 and the intercept is 0. 

Answer:

the slope is 3 and the intercept is 0.

Step-by-step explanation:

If the sum of the positive integer a and 5 is less than 12, what is the sum of all possible values of a?

Answers

Final answer:

To find the sum of all possible values of a, we subtract 5 from both sides of the inequality a + 5 < 12 and find the maximum value of a. The sum of all possible values of a is 21.

Explanation:

To find the sum of all possible values of a, we need to determine the range of possible values for a. We are given that the sum of a and 5 is less than 12. This can be expressed as a + 5 < 12. To find the maximum value of a, we subtract 5 from both sides of the inequality: a < 12 - 5 = 7. Therefore, the possible values of a are all the positive integers less than 7. To find the sum of all these values, we can use the formula for the sum of consecutive positive integers: S = (n/2)(n+1), where n is the largest integer. In this case, n = 6, so the sum of all possible values of a is (6/2)(6+1) = 21.

Final answer:

The sum of all possible values of a is 21.

Explanation:

The question states that the sum of the positive integer a and 5 is less than 12. To find the sum of all possible values of a, we need to determine the range of values that satisfy this inequality. Let's set up the inequality:

a + 5 < 12

Subtract 5 from both sides:

a < 7

So, the possible values of a are all positive integers less than 7. To find the sum of all these values, we can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

Here, the first term is 1 and the last term is 6 (since we want integers less than 7). The number of terms, n, is 6, since there are 6 possible values of a. Plugging in these values:

Sum = (6/2)(1 + 6) = 3 * 7 = 21

So, the sum of all possible values of a is 21.

Write in slope-intercept form an equation of the line that passes through the given points. (−9, 5), (−3, 3)

Answers

The slope intercept form is the y = mx + b
We need to solve for the slope first
remember
the slope is the change in y/ over the change in x
y2 - y1 / x2 - x1
3 - 5 / -3 --9
-2/6 this can be simplified to -1/3
That is the slope so we plug it into the equation
y = mx + b
m = slope
y = -1/3x + b
Now to solve for the y-intercept, we plug in one of the coordinates to solve for b
3 = -1/3(-3) + b
3 = 1 + b
3 = b + 1
subtract 1 from both sides
2 = b
That is the point where it intercepts the y-axis
(0,2)

Now we have our equation for the line that passes through the points, (-9,5)(-3,3). 
That equation is y = -1/3x + 2

Hope this helps :)

The slope intercept format is y = -1 / 3x + 2

The slope intercept formula is represented as follows

y = mx + b

where

m = slope

b = y-intercept

Therefore, let's find m using the coordinates (-9, 5)(-3, 3)

m = 3 - 5 / -3 - (- 9)  = -2 / 6 = - 1 / 3

let's find b using the coordinate(-3, 3)

3 = -1 / 3 (-3) + b

3 = 1 + b

b = 2

Finally,

y = -1 / 3x + 2

Read more : https://brainly.com/question/2953533?referrer=searchResults

( 80 POINTS )
the data in the table represents a linear function
| x | -3 | 0 | 3 | 6 |
| y | -5 | -3 | -1 | 1 |

what is the slope of the linear function?
which graph represents the data?
( 80 POINTS )

Answers

Alright! To find the slope you must divide the y-coordinates of the points on the line by the x-coordinates of those  points .

So the slope of the linear function would be 3/2


The second question would be these one

A spherical model of planet Earth has a radius of 3 ft.

What is the approximate volume of the model of planet earth?

Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

Enter your answer in the box.

Answers

Answer:

The approximate volume of the model of planet earth is [tex]113.04\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=3\ ft[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(3^{3})=113.04\ ft^{3}[/tex]

Final answer:

The approximate volume of a spherical model of Earth with a radius of 3 ft is calculated using the formula V = (4/3)πr³, which results in a volume of 113.04 cubic feet when rounded to the nearest hundredth.

Explanation:

To calculate the approximate volume of a spherical model of planet Earth with a radius of 3 ft, we use the formula for the volume of a sphere, which is V = (4/3)πr³. Plugging in the values, we get V = (4/3) × 3.14 × (3 ft)³. Performing the calculation, we first cube the radius (3 ft × 3 ft × 3 ft = 27 ft³), then multiply by π (approximately 3.14), and finally multiply by 4/3. So, V = (4/3) × 3.14 × 27 ft³ = 113.04 ft³.

When we round to the nearest hundredth, the approximate volume of the model is 113.04 cubic feet.

Algebraic expression
Seven points less than yesterday’s score

Answers

X - 7 When it has a turn around word, you flip the equation around

The algebraic expression for the given statement is x-7.

The given statement is seven points less than yesterday’s score.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Let the score of yesterday be x.

Here, expression is x-7

Therefore, the algebraic expression for the given statement is x-7.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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A piece of popcorn, on average, has a volume of 1.125 inches cubed. How many pieces of popcorn will fit in a bag that has a dimension of 5 inches by 3 inches by 7 inches?

Answers

To solve for this, we need to multiply all of our dimensions by each other, and then divide that product by the volume of a piece of the average popcorn.
5 x 3 = 15;
15 x 7 = 105.

105 / 1.125 = 93.33~.

This means that 93 (whole) pieces of popcorn will fit in a bag of 105 inches.

I hope this helps!

To find out how many pieces of popcorn will fit in a bag with dimensions of 5 inches by 3 inches by 7 inches, divide the bag's volume by the average volume of a popcorn piece.

To calculate the volume of popcorn that fits in the bag:

Calculate the volume of the bag: 5 in x 3 in x 7 in = 105 in³.

Divide the bag's volume by the average volume of a piece of popcorn (105 in³ ÷ 1.125 in³ = 93.33 popcorn pieces).

Subtract: 12 3/8 - 8 1/5

A) 4 2/3
B) 4 1/20
C) 4 2/13
D) 4 7/40

Answers

Find the common denominator.
12 15/40 - 8 8/40 = 4 7/40 and the answer is D. Hope it helps! If you could vote my answer as the brainiest, that would be awesome! :)

Answer:

the answer is d

Step-by-step explanation:

A store sells used and new video games. New video games cost more than used video games. All used video games cost the same and all new video games also cost the same. Yafreisy spent a total of $84 on 4 used video games and 2 new video games. Ashley spent a total of $78 on 6 used video games and 1 new video game. Brayan has $120 to spend. How many used video games can Brayan purchase after purchasing 3 new video games? *

Answers

the cost of new v. g- N
the cost of used v. g- U
Y ;   4U + 2N = 84        | * -1
 A ;   6U+ N   = 78       | *2

- 4U - 2N = -84
12U + 2 N = 156
------------------------
 8U  /    = 72
U=72:8
U=9 $

6U+N=78
54+N=78
N=78-54
N=24$

120-3N=120=3*24=120-72=48 $ has after he bought 3 new v. g
48:9= 5 used video games  and the rest is 3 $

Brayne can purchase 5 used video games after the purchase of 3 new video games.

Let us say

Cost of each used video game = x

Cost of each new video game = y

According to question,

Yafreisy spent a total of $84 on 4 used video games and 2 new video games.

4x+ 2y = 84......(i)

Ashley spent a total of $78 on 6 used video games and 1 new video game.

6x + y = 78......(ii)

After solving pair of linear equations (i) and (ii)

What is A linear equation in two variables?

An equation in the form of ax+by+c, where a,b and c are real numbers and a,b are not equal to zero, is called a linear equation in two variables.

x=9

y= 24

After purchasing 3 new video games, money left with Brayen:

120-3*24=$48

So, used video games that Brayen can buy after purchase of 3 new video games = 48/9 ≈5.4

Therefore, Brayne can purchase 5 used video games after the purchase of 3 new video games.

To get more about the pair of linear equations refer to:

https://brainly.com/question/19571357

Cubic bins with closed tops are used to transport melons to the farmers market. The edge length of each bin is 1.5 m. What is the surface area of the outside of one of the bins? Drag and drop the correct answer into the box. 3.375 91 1.25 13.5
m??

Answers

There are 6 faces to the bin so the surface area 

=  6 * 1.5^2 = 13.5 m^2 Answer

Answer:  [tex]13.5\text{ m}^2[/tex]

Step-by-step explanation:

Given: Cubic bins with closed tops are used to transport melons to the farmers market.

The edge length of each bin = 1.5 m

We know that the surface area of cube is given  by :-

[tex]\text{S.A.}=6(\text{edge})^2\\\\\Rightarrow\text{S.A. of cubic bin}=6(1.5)^2\\\\\Rightarrow\text{S.A. of a cubic bin}=13.5\text{ m}^2[/tex]

Hence, the surface area of a cubic bin=[tex]13.5\text{ m}^2[/tex]

I need help with number 10 please, thanks.

Answers

I'm not sure about my answer. I think it's A
the correct answer is A

18.65 × 6.8 how do you do it

Answers

18.65
 *  6.8
_____
         126.82
First, multiply the numbers and ignore the decimal points. Just pretend the decimal points are not there.

        18.65
     x     6.8
    -----------
       14920
   + 11190
  ------------
     126820

Now you need to place the decimal point.
The original numbers are 18.65 and  6.8.
18.65 has 2 decimal places to the right of the decimal point.
6.8 has 1 decimal place to the right of the decimal point.
Add the number of decimal places to the right of the decimal point of both numbers: 2 + 1 = 3.
The answer, 126820, must also have 3 decimal places to the right of the decimal point, so we count digits starting at the right side (with the 0, and we place the decimal point after the third digit (to the left of the third digit).
126.820
Since a final zero after the decimal point has no value, we simply write 126.82

Answer: 126.82

Which number is an irrational number?

A: 0.12

B: 0.1257486

C: 0.12121212

D: 0.111111

Answers

An irrational number is a number that can not be expressed as a rational number(a whole number, repeating decimal number, and a fraction that is rational.)
So 0.1257486 is the answer.

Final answer:

The irrational number in the given options is C: 0.12121212, as it repeats the sequence '12' infinitely without any pattern.

Explanation:

An irrational number is a number that cannot be expressed as a simple fraction (i.e. a ratio of two integers) and has an infinite number of non-repeating decimal places. Out of the given options, the number C: 0.12121212 is an irrational number because it repeats the sequence '12' infinitely without any pattern. The other options, A: 0.12, B: 0.1257486, and D: 0.111111, can all be expressed as fractions and have either a finite decimal representation or a repeating decimal pattern.

Please help! We never learned this!

Answers

3.2% = 0.032

decrease in price: 36,000 x 0.032 = 1,152

 price of next model : 36,000 - 1,152 = 34,848

well 1 percent of 36,000 is 360 so 360 * 3.2 = 1152 then subtract that from 360,000 and that your answer

The figure is made up of a cylinder and a cone. What is the exact volume of the figure?

Answers

51 ft I believe if you have the same question as I did..

What is the figure???????????

What is 2 * 4 + 8/7 - 2/5 (3 + 8)


No calculator plzz!!!

Answers

Hey there Banana!

[tex]simplify \ \frac{2}5} \\ \\ (8+ \frac{8}{7})-( \frac{2}{5} *11) \\ \\ simplify \ \frac{8}{7} \\ \\ \frac{8*7+8}{7} = \frac{64}{7} \\ \\ \\ \frac{L \ Mult \ *R \ num}{L.C.M} * \frac{64*5}{35} \\ \\ \frac{64*5-(22-7)}{35} = \frac{166}{35} \\ \\ (final \ result) \\ \\ \boxed{\boxed{ \frac{166}{35} =(4.74286)}} \\ \\ Hope \ this \ helps \ you![/tex]
2 * 4 + 8/7 - 2/5 (3 + 8) =

= 8 + 8/7 - 2/5 * 11

= 8 + 8/7 - 22/5

The LCD is 35.
We multiply the first fraction by 35/35, the second fraction by 5/5, and the third fraction by 7/7 to have a common denominator.

= 280/35 + 40/35 - 154/35

= 166/35

= 4 26/35


Gerald is saving money. His mom said that whatever he saves, sehe will give him $10 more. Which graph shows the amount Gerald will have if he saves d dollar?

Answers

No graph that I could see but if he saves one dollar and he gets ten more that means he would get eleven dollars

A 14-ounce box of cereal sells for $2.10. what is the unit rate.

Answers

Final answer:

To find the unit rate for a 14-ounce box of cereal selling for $2.10, divide the price by the number of ounces to get $0.15 per ounce.

Explanation:

The unit rate for a 14-ounce box of cereal selling for $2.10 can be calculated by dividing the price of the box by the number of ounces it contains. To find the unit rate, you would perform the following calculation:

Unit rate = Price per box ÷ ounces per box

Unit rate = $2.10 ÷ 14 ounces

Unit rate = $0.15 per ounce

Therefore, the unit rate or cost per ounce for the cereal is $0.15.

Make these fractions mixed numbers
15/4
51/25
17/12
16/6
92/30

Answers

1) 15/4 = 3 3/4
2) 51/25 = 2 1/25
3) 17/12 = 1 5/12
4) 16/6 = 2 2/3
5) 92/30 = 3 1/15

What is 549,423 rounded to the nearest thousand

Answers

The answer is 549,000
Final answer:

Rounding 549,423 to the nearest thousand involves looking at the hundreds of places. Since it's lower than 5, the thousand's place remains the same, rendering 549,000 as the rounded number.

Explanation:

Rounding 549,423 to the nearest thousand involves examining the hundreds place, which contains a 4. In rounding, if this number is less than 5, you leave the thousands place as it is and change everything to its right to zeros. If it's 5 or more, you increase the thousands place by one and change everything to its right to zeros.

Therefore, because the number in the hundreds place in 549,423 is 4 - which is less than 5 - we don't round up. We leave the thousands place '549' as is and change the hundreds, tens, and ones place to zeros. Hence, 549,423 rounded to the nearest thousand is 549,000.

Learn more about Rounding Numbers here:

https://brainly.com/question/19166897

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The ratio of vertical change to the horizontal change is called _________.
A. The slope
B. Translation
C. The y intersept

Answers

I think the ratio of a vertical change to the horizontal change is called slope.

Answer:

slope

Step-by-step explanation:

Funny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frig population after years?

Answers

Each year the frog population is multiplied by (1-3%) = 97% = 0.97. The function that represents the frog population can be written as
.. p(t) = 1200*0.97^t

type the number of terms in 6x+3y

Answers

There are 2 terms!!!!!!!!
There are two terms - 6x and 3y.

Hope this helps!
Other Questions
You just watched a commercial in which a popular singer picks up a soda before going on stage. When the singer drinks the soda, he appears to feel more confident. He then looks at the screen and says, "This is the soda I need to make me feel like a star!" What technique has the advertising company used to persuade you to buy the soda? A. Bandwagon B. Plain Folks C. Science Evidence D. Testimonials Read the excerpt below and answer the question.But in her web she still delightsTo weave the mirror's magic sights,For often through the silent nightsA funeral, with plumes and lights And music, went to Camelot: Or when the moon was overhead, Came two young lovers lately wed; "I am half sick of shadows," said The Lady of Shalott. Which set of lines suggest the text's tension between life and art?"But in her web she still delightsTo weave the mirror's magic sights," "For often through the silent nightsA funeral, with plumes and lights" "...when the moon was overhead," "Came two young lovers lately wed; 'I am half sick of shadows,' said The Lady of Shalott. After Russia fell to the Communists in 1917, the Red Scare enveloped America after one nation also fell to Communism and one nearly did fall. What were these two other nations? Broadway is one of the most famous boulevards in american. why is broadway known as the "great white way?" 2.how did prohibition help increase the presence of organized crime in america? 3.discuss how the culture of the 1920s broke and transgressed different boundaries in american society, especially the accepted roles for women. What is the area of this trapezoid? Enter your answer in the box. units2 A rectangle with a length of 10 and a height of 9 has two right triangles on each side of it with short leg lengths of 9. The Bell Aircraft Corporation operated in Marietta, Georgia, from 1942 until 1945. The company benefited the city of Marietta MAINLY because it A)helped it put an end to the Great Depression. B)turned the city into a major industrial center. C)supplied the city with an international airport. D)helped women and minorities find postwar employment. Joe wants to carpet a 12 foot by 18 foot rectangular living room and square bedroom. One side length of the square bedroom is 12 feet. Carpets cost $3.50 per square foot. What percent of the total amount joe will pay will be spent on carpeting the bedroom? Show your work. What is the solution set for the quadratic equation x2 - 16 = 0? A) {4} B) {-4, 4} C) {256} D) {-256, 256} Lalo has 1500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minutes? What is the interpretation? Why does water need a protein channel to move across the cell membrane? The olympic event that was a combination of boxing and wrestling was called the _______. Which of the following statements best describes how science has developed over time? A.Scientists worldwide use only existing knowledge and research. B.Male scientists have made the most important scientific discoveries. C.All useful scientific discoveries have been made within the past 50 years. D.Individuals from all over the world throughout history have worked both independently and together to build scientific knowledge. 6 identical toys 1.8kg. B) what is the weight of one toy? give your answer in grams. C) what is the weight of 4 toys? give your answer in kilograms. What is three fourths multiplied by 24 The area with water tables MOST at risk of being contaminated can be found in ______.central Africa southern Africa north central Africa north eastern Africa Gene flow involves the spreading of alleles to and from a population. _______________ is the flow of genes into an area whereas _________________ is the flow of genes out of an area. A)immigration, emigration B)emigration, immigration C)founder effect, bottleneck effect D)bottleneck effect, founder effect Which of the following affects the speed of light waves in a material? Angle at which the ray strikes the medium Color of the material Density of the material Temperature of the light wave There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the theoretical probability of randomly drawing a red marble? 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The first section of the statute enacts "that all railway companies carrying passengers in their coaches in this State shall provide equal but separate accommodations for the white and colored races by providing two or more passenger coaches for each passenger train, or by dividing the passenger coaches by a partition so as to secure separate accommodations: Provided, That this section shall not be construed to apply to street railroads. No person or persons, shall be admitted to occupy seats in coaches other than the ones assigned to them on account of the race they belong to." The Supreme Courts ruling in Plessy v. Ferguson was problematic becausethe court was not able to overturn the Louisiana state law that required passengers be separated by race.the court did not have any African American justices among its members.it was unclear if Plessy (who was of mixed race) broke the law by sitting in the whites-only coach.it was based on the belief that segregation was permissible as long as the facilities were equal. Which best describes a difference between a retelling and summarizing? A retelling gives a short restatement of the texts central idea, while a summary gives all of the details from a text. A retelling gives all of the details from a text, while a summary gives a short restatement of the texts central idea. A retelling includes ones personal opinion, while a summary includes objective statements only. A summary includes ones personal opinion, while a retelling includes objective statements only.