Antonio, Lucas y Darío compraron un refresco de 5/2 (2litros y 1/2) que piensan repartir en partes iguales. a) ¿Qué fracción de litro le corresponde a cada uno? b) Una vez repartido el refresco llego Benjamín a quien van a convidarle. ¿Cuánto debe convidarle cada uno para que los cuatro tengan la misma cantidad de refresco?

Answers

Answer 1

Answer:

a) A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.

b) Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.

Step-by-step explanation:

a) Antonio, Lucas y Darío compraron un refresco, el cual reparten en tres partes iguales. Por tanto, la fracción de litro para cada persona es la capacidad del refresco dividido por el número de personas. Es decir:

[tex]x = \frac{\frac{5}{2}\,L }{3}[/tex]

[tex]x = \frac{5}{6}\,L[/tex]

A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.

b) En primer lugar calculamos la fracción correspondiente a cuatro personas:

[tex]x = \frac{\frac{5}{2}\,L }{4}[/tex]

[tex]x = \frac{5}{8}\,L[/tex]

Ahora, procedemos a calcular la diferencia entre el escenario calculado en a) y el resultado anterior:

[tex]\Delta x = \frac{5}{6}\,L-\frac{5}{8}\,L[/tex]

[tex]\Delta x = \frac{40-30}{48} \,L[/tex]

[tex]\Delta x = \frac{10}{48}\,L[/tex]

[tex]\Delta x = \frac{5}{24}\,L[/tex]

Este resultado corresponde a la fracción que Antonio, Lucas y Darío deben convidar cada uno a Benjamín. Entonces, Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.


Related Questions

What is the slope of this line?

A: - 1/3

B: - 2/3

C: 2/3

D: 1/3

Answers

Answer:

The answer is C. 2/3

Step-by-step explanation:

Answer:

C. 2/3

Step-by-step explanation:

equation for slope: y2 - y1 / x2 - x1

Pick any two exact points from the line. I will use (0, -3) and (3, -1)

The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation

-3 - (-1) / 0 - 3

= -3 +1 / 0 - 3

-2/-3

Negatives cancel so it becomes positive

So the slope is 2/3

3. Nicole has $17.50. Her grandmother gave
her $53.12 for her birthday. She then buys
a computer game that costs $37.25. How
much money does she have left?
E

Answers

Answer:

33.37

Step-by-step explanation:

Answer:

Nicole has $33.37 left

Step-by-step explanation:

($17.50+$53.12)-$37.25=$70.62-$37.25=$33.37

Do you agree or disagree. Explain based on the table or graph!
The domain of the distance/time graph is all real numbers (real numbers are all positive and negative numbers as well as all fractions).
In what time interval is the distanced travelled the greatest?

Answers

Answer:

I disagree.............................................................................

Step-by-step explanation:

9. What is the domain of the relation {(−2, 4), (1, 3), (0, −4), (3, 2)}?

Answers

Answer:

{-2, 0, 1, 3}.

Step-by-step explanation:

First of all domain is the x- coordinates. The domain of the relation is

{-2, 0, 1, 3}.

Hope this helped! If so, plz mark brainliest.

The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).

What is the domain in relation?

It is the set of all x values and the range represent the set of all y values with respect to the set of ordered pairs. It should be written as the (x,y) at the time when the set of ordered pairs, so first we have to find the domain for x values from the relation.

hence, The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).

Learn more about domain here; https://brainly.com/question/24455077

The temperature at midnight was −11°C. By midday, the temperature was 5°C.

What was the temperature during the morning?
Explain what method you used to find the temperature change.

Answers

Answer:

-3 celcius

Step-by-step explanation:

Answer:

6 ℃

Step-by-step explanation:

by substacring u will see it

What are all the factors of 54?

Answers

Answer:

The factors are: 1,2,3,6,9,18,27,54.

Hope this helped!

Answer: the answer is D 1, 2, 3, 6, 9, 18, 27, 54. :)

What is the slope of the linear function shown in the table below:

Answers

Answer:

It's 2

Step-by-step explanation:

Positive 2.

(not -1/2)

(Y2-y1)/(x2-x1)
(0, -4) and (1, -2)
(-2+4)/(1-0) = 2/1 = 2
The slope is 2

help me asap 10 points

Answers

Answer:

domain 22 range 43 .....

Cada semana de los últimos 3 años Lucía ha hecho 120 km en bicicleta y cada mes 100 km corriendo y 15 km nadando. Debe cambiar la bicicleta cada 20.000 km. ¿Tiene que cambiarla ya?

Answers

Answer:

Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.

Step-by-step explanation:

Para determinar la respuesta tienes que encontrar la cantidad de km que Lucía ha hecho en 3 años multiplicando los 120 km que hace a la semana por la cantidad de semanas que hay en 3 años. Para determinar las semanas, tienes que considerar que en 1 año hay 52 semanas:

Semanas=52*3= 156 semanas

120*156=18,720 km

De acuerdo a esto, la respuesta es que Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.

Isaac buys a plant that is 3 inches tall. After one week the plant is 5 inches tall. After a second week the plant is 7 inches tall. At this rate, how tall will the plant be after the fifth week? a 15 inches tall b 2 inches tall c 13 inches tall d 11 inches tall

Answers

Answer:

C 13 inches

Step-by-step explanation:

Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches

La Srta. Vázquez tiene 17 una clase de estudiantes. Ella puede gastar 24 dólares por estudiante para comprar material de matemáticas para el año escolar. Ella compra primero calculadoras para todos sus estudiantes, con un costo total de 134,81 dólares . Después de comprar las calculadoras, ¿cuánto dinero le queda para gastar por estudiante? Lis ayúdenme debo entregar hasta el viernes

Answers

Answer:

A la Srta. Vázquez le quedan $18,39 para gastar por estudiante.

Step-by-step explanation:

Primero, tienes que dividir el costo total de las calculadoras que compró la Srta. Vázquez entre el número de estudiantes para saber cuánto gastó por estudiante:

134,81/24=5,61

Ahora que sabes cuánto gastó por estudiante, debes restar esto de la cantidad que puede gastar por estudiante para saber cuánto le queda:

24-5,61=18,39

De acuerdo a esto, la respuesta es que a la Srta. Vázquez le quedan $18,39 para gastar por estudiante.

elbow said freewriting is an exercise in bringing together the process of producing words and putting them down on the page do you agree with his statement why why not​

Answers

Answer:

No, his statement is incorrect.

Explanation:

Freewriting is to put thoughts onto a page as they come into your head without thinking too much about it.

Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer:

62 persons

Step-by-step explanation:

Step one:

given data

total budget=$2500

we are told that the hall charges $60 for cleanup, the amount is a fix charge

and per person is $39

let the number of persons be x

The model for the situation is described by y=mx+c

Step two:

2500=39x+60

solve for x

2500-60=39x

2440=39x

divide both sides by 39 we have

x=2440/39

x=62.56

The greatest number of people that they may invite and still stay within their budget.  is 62

Temperatures have been falling steadily at 5°F each day. Which number
sentence shows how to find the change in temperature 7 days from today's
A)5 + 7 = 12°F
B)none of these
C)-5* 7 = -35°F
D)O 7-5 = 2°F

Answers

answer: none of these

T−7×−5 = Tn

Let T equal the present temperature

7 = the number of days

-5= the drop each day

Let Tn = the new temperature

The last 2 questions & did I do it right pls help me:(

Answers

Answer:

Step-by-step explanation:

a. 50x+200

b. 200

c. 50

d. y intercept - the cost to buy the phone

e. slope represents number of months that you have the phone plan

I think you have your equation wrong. It should be 5x+200. 200 is paid once while the five is paid every month. So 200 is the y-intercept and it stands for the purchase of the phone. The slope is how much you’re paying each month!

Graph y < -x - 1, I do not understand what to do without a slope given.

Answers

Answer:

Step-by-step explanation:

If you are not given a number before x always assume it is a 1 and if there are no visible denominators also assume that it is 1

In this case the inequality reads y<-1x/1-1

The slope is -1/1x or fall 1 crawl 1

The y-intercept is -1

I looked up the graph...

At noon, the temperature on Mt. Washington in Maine was 0°C. The temperature dropped an average of -0.5°C an hour. At what time would the temperature be -2.5°C? Explain what you did to get your result.

Answers

Answer:

5:00 pm

Step-by-step explanation:

Given that:

Temperature at noon = 0°C

Average temperature drop rate = - 0.5°C per hour

What time would temperature be - 2.5°C

Hence, target temperature = - 2.5°C

Time taken for temperature to drop = (target temperature / temperature drop rate)

Time taken = - 2.5°C / - 0.5°C / hr

Time taken = 5 hours

Hence, the time at which temperature will be - 2.5°C equals 5 hours after noon

12: 00 noon + 5 hours = 5:00 pm

Hence, temperature will be - 2.5°C by 5:00 pm

Derek scored a 15/25 on his math test and Meredith scored a 8/14 on her science test. Who had the best score? Explain.

Answers

Answer:

Derek

Step-by-step explanation:

15/25

8/14

find common factor:

350 is the lcm for both of them

Derek: 15/25= 210/350

Meredith: 8/14= 200/350

So, Derek got a better score

Answer:

derek

Step-by-step explanation:

if u simplify them, meredith in simplest form in decimal is .571428

and derek when you simplify his in simplest form in decimal is .6

so therefore derek has a higher or better score

plz give me brainliest

Gabriel is deciding between two different movie streaming sites to subscribe to. Plan A costs $8 per month plus $2.50 per movie watched. Plan B costs $24 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Gabriel watches xx per month, and let BB represent the monthly cost of Plan B if Gabriel watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if Gabriel plans on watching 6 movies each month

Answers

Answer:

A= 2.50x+82.50x+8

B= 0.50x+240.50x+24

Step-by-step explanation:

Plan A is $4 cheaper than Plan B when watching 6 movies.

Coach Pugh has 12 helmets and 8 footballs in his locker room. Wich ratios are equivalent to the ratio of helmets to footballs in coach pugh's locker room... (Select all that apply) ...... 1:3,,2:3,,3:2,,4:2,,6:4,,24:16
PLZ I WILL GIVE HIGH RANKING

Answers

Answer:

3:2 6:4 24:16

Step-by-step explanation:

Which of the following equations has exactly one solution? A. 4 x − 4 + 2 x = 6 x − 4 B. 4 x − 8 = 4 ( x − 4 ) C. 3 x + 5 = 2 x − 6 D. 2 ( 4 x + 5 ) = 8 x + 10

Answers

Answer:

C. 3x + 5  = 2x -6

Step-by-step explanation:

Two friends argue over who brushes their teeth more often. To settle the argument, they keep track of the number of mornings and nights they brush and calculate a probability. These are shown in the table.

Answers

Using the probability concept, the correct option regarding who is more likely to brush both in the morning and in the evening is:

B. Arabella. She has a 0.64 probability of brushing both times.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering that the events are independent, we just multiply the probabilities, hence the probability of each brushing both times is given as follows:

Braxton: 0.85 x 0.72 = 0.612.Arabella: 0.79 x 0.81 = 0.64.

Hence statement B is correct, as 0.64 > 0.612.

More can be learned about probabilities at https://brainly.com/question/14398287

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- 6
48
-
99
how to solve it​

Answers

Huh? Can you put a picture?

what is the volume of a cylinder with radius 10cm and height 10cm?

Answers

Answer:

about 3141.59 cm^3

Step-by-step explanation:

V of cylinder = (pi)(r^2)(h)

radius = 10 cm

height = 10 cm

V = pi x 10^2 x 10

V = 3141.59 cm cubed

i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8

Answers

Answer:

14

Step-by-step explanation:

-6+x=1

8

-6+x=1×8

x=8+6

x= 14 ans


Jamie tossed a coin 50 times. The coin landed on heads 27 times and landed on tails
23 times. What is the relative frequency of landing on heads?

Answers

Answer: 54%

Step-by-step explanation:

The relative frequency of landing on heads is 0.54 or 54%.

Given that Jamie tossed a coin 50 times.
Head showed for 27 times.

Tails showed for 23 times.

We need to find the relative frequency of landing on heads,

The relative frequency of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.

In this case, Jamie tossed a coin 50 times, and it landed on heads 27 times.

To find the relative frequency of landing on heads, we divide the number of times the coin landed on heads (27) by the total number of tosses (50):

Relative Frequency of landing on heads = Number of heads / Total number of tosses

Relative Frequency of landing on heads = 27 / 50

Simplifying this fraction, we get:

Relative Frequency of landing on heads = 0.54

This means that, based on the given data, the coin landed on heads approximately 54% of the time in the 50 tosses performed by Jamie.

Therefore, the relative frequency of landing on heads is 0.54 or 54%.

Learn more about Relative Frequency click;

https://brainly.com/question/28342015

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which point satisfies the system of equations y = 3x - 2 and y = -2x + 3
1. A
2. B
3. C
4. D

Answers

Answer:

D

Step-by-step explanation:

ASAP answer it please and thank uuu!!!!!

Answers

Answer:

As of what I see, your answer is all of them.

Simplify(6^5/7^3)^2 .................help please

Answers

Answer:

513.95402 I think lol

 4.1     7776 = 25•35

(7776)2 = (25•35)2 = 210 • 310  4.2     343 = 73 (343)2 = (73)2 = 76

The answer is 7776^2
_____
343^2

Pls mark brainleist

the table shows conversions of common units of length.


Unit of Length

Customary System Units

Metric System Units

1 inch

2.54 centimeters

1 foot

0.3048 meters

1 mile

1.61 kilometers


1 yard = 3 feet

1 yard = 36 inches


Which shows the best path to find the number of centimeters in 1 yard?

yards Right-arrow inches Right-arrow centimeters

yards Right-arrow feet Right-arrow centimeters

centimeters Right-arrow feet Right-arrow inches

centimeters Right-arrow feet Right-arrow yards

Answers

Answer:

the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

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